Publikationen
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2024
Kruse-Kurbach T. , Lohr D. , Berges MP. , Kohlhase M. , Moghbeli Damaneh H. , Schütz M. :Term Extraction for Domain Modeling 22. Fachtagung Bildungstechnologien (DELFI) (Fulda , 09-09-2024 - 11-09-2024 )In: Gesellschaft für Informatik e.V. (Hrsg.): Proceedings of the 22. Fachtagung Bildungstechnologien (DELFI) 2024 BibTeX: Download
Lohr D. , Berges MP. , Chugh A. , Striewe M. :Adaptive Learning Systems in Programming Education: A Prototype for Enhanced Formative Feedback 22. Fachtagung Bildungstechnologien (DELFI) (Fulda , 09-09-2024 - 11-09-2024 )In: Gesellschaft für Informatik e.V. (Hrsg.): Proceedings of DELFI 2024 2024 DOI: 10.18420/delfi2024_57 URL: https://dl.gi.de/items/3247d10d-b76e-4d65-97ad-6fc6943a910c BibTeX: Download
Lohr D. , Kiesler N. , Keuning H. , Jeuring J. :„Let Them Try to Figure It Out First“ – Reasons Why Experts (Do Not) Provide Feedback to Novice Programmers Proceedings of the 29th ACM Conference on on Innovation and Technology in Computer Science Education (Milan , 08-07-2024 - 10-07-2024 )In: ACM (Hrsg.): Proceedings of the 29th ACM Conference on on Innovation and Technology in Computer Science Education 2024 DOI: 10.1145/3649217.3653530 URL: https://dl.acm.org/doi/pdf/10.1145/3649217.3653530 BibTeX: Download
Schneider C. , Vybíral J. :Multivariate Riesz basis of ReLU neural networks In: Applied and Computational Harmonic Analysis (2024 )ISSN: 1063-5203 DOI: 10.1016/j.acha.2023.101605 BibTeX: Download
2023
Bänsch E. , Pflug L. , Schikarski T. :Highly accurate and numerical tractable coupling of nanoparticle nucleation, growth and fluid flow In: Chemical Engineering Research & Design 190 (2023 ), S. 814-828 ISSN: 0263-8762 DOI: 10.1016/j.cherd.2022.12.029 BibTeX: Download
Djurdjevac A. , Gräser C. , Herbert PJ. :An evolving space framework for Oseen equations on a moving domain In: Mathematical Modelling and Numerical Analysis 57 (2023 ), S. 3113-3138 ISSN: 0764-583X DOI: 10.1051/m2an/2023074 BibTeX: Download
Doß M. , Ray N. , Bänsch E. :Modeling and simulation of single droplet drying in an acoustic levitator In: Drying Technology 41 (2023 ), S. 2088-2104 ISSN: 0737-3937 DOI: 10.1080/07373937.2023.2218162 BibTeX: Download
Gräser C. , Kienle D. , Sander O. :Truncated nonsmooth Newton multigrid for phase-field brittle-fracture problems, with analysis In: Computational Mechanics (2023 )ISSN: 0178-7675 DOI: 10.1007/s00466-023-02330-x BibTeX: Download
Gräser C. , Kornhuber R. , Podlesny J. :Numerical simulation of multiscale fault systems with rate- and state-dependent friction In: Computational Geosciences (2023 )ISSN: 1420-0597 DOI: 10.1007/s10596-023-10231-4 BibTeX: Download
Gärttner S. , Alpak FO. , Meier A. , Ray N. , Frank F. :Estimating permeability of 3D micro-CT images by physics-informed CNNs based on DNS In: Computational Geosciences (2023 )ISSN: 1420-0597 DOI: 10.1007/s10596-022-10184-0 URL: https://link.springer.com/article/10.1007/s10596-022-10184-0 BibTeX: Download
Gärttner S. , Frank F. , Woller F. , Meier A. , Ray N. :Estimating relative diffusion from 3D micro-CT images using CNNs In: Artificial Intelligence in Geosciences 4 (2023 ), S. 199-208 ISSN: 2666-5441 DOI: 10.1016/j.aiig.2023.11.001 BibTeX: Download
Kempka H. , Schneider C. , Vybiral J. :Path Regularity of the Brownian Motion and the Brownian Sheet In: Constructive Approximation (2023 )ISSN: 0176-4276 DOI: 10.1007/s00365-023-09647-z BibTeX: Download
Knoch J. , Gahn M. , Neuss-Radu M. , Neuß N. :Multi-Scale Modeling and Simulation of Transport Processes in an Elastically Deformable Perforated Medium In: Transport in Porous Media (2023 )ISSN: 0169-3913 DOI: 10.1007/s11242-022-01896-z BibTeX: Download
Lohr D. , Berges MP. , Kohlhase M. , Müller D. , Rapp M. :The Y-Model - Formalization of Computer-Science Tasks in the Context of Adaptive Learning Systems IEEE German Education Conference (GeCon) (Berlin , 02-08-2023 - 04-08-2023 ) DOI: 10.1109/GECon58119.2023.10295148 BibTeX: Download
Reinelt M. , Ahlfs J. , Stein R. , Alexiou C. , Bänsch E. , Friedrich RP. , Lyer S. , Neuß M. , Neuß N. :Simulation and experimental validation of magnetic nanoparticle accumulation in a bloodstream mimicking flow system In: Journal of Magnetism and Magnetic Materials 582 (2023 ), Art.Nr.: 170984 ISSN: 0304-8853 DOI: 10.1016/j.jmmm.2023.170984 BibTeX: Download
Schneider C. , Szemenyei F. :Besov regularity of inhomogeneous parabolic PDEs In: Partial Differential Equations and Applications (2023 )ISSN: 2662-2963 DOI: 10.1007/s42985-023-00262-y BibTeX: Download
Schneider C. , Szemenyei F. :Sobolev and Besov regularity of parabolic PDEs with inhomogeneous boundary data In: Partial Differential Equations and Applications (2023 )ISSN: 2662-2963 BibTeX: Download
Schneider C. , Vybiral J. , Kempka H. :Path regularity of Brownian motion and Brownian sheet In: Constructive Approximation (2023 )ISSN: 0176-4276 DOI: 10.1007/s00365-023-09647-z BibTeX: Download
Schneider C. , Vybíral J. :Multivariate Riesz basis of ReLU neural networks In: Applied and Computational Harmonic Analysis (2023 )ISSN: 1063-5203 BibTeX: Download
Schneider C. , Vybíral J. , Kempka H. :Path regularity of Brownian motion and Brownian sheet In: Journal of Functional Analysis (2023 )ISSN: 0022-1236 BibTeX: Download
2022
Actis M. , Morin P. , Schneider C. :On approximation classes for adaptive time-stepping finite element methods In: IMA Journal of Numerical Analysis (2022 )ISSN: 0272-4979 DOI: 10.1093/imanum/drac056 BibTeX: Download
Doß M. , Bänsch E. :Numerical study of single droplet drying in an acoustic levitator before the critical point of time In: Chemical Engineering Science 248 (2022 ), Art.Nr.: 117149 ISSN: 0009-2509 DOI: 10.1016/j.ces.2021.117149 BibTeX: Download
Faghih-Naini S. , Aizinger V. :p-adaptive discontinuous Galerkin method for the shallow water equations with a parameter-free error indicator. In: GEM - International Journal on Geomathematics 13 (2022 )ISSN: 1869-2672 DOI: 10.1007/s13137-022-00208-3 BibTeX: Download
Meier A. , Bänsch E. , Frank F. :Schur preconditioning of the Stokes equations in channel-dominated domains In: Computer Methods in Applied Mechanics and Engineering 398 (2022 )ISSN: 0045-7825 DOI: 10.1016/j.cma.2022.115264 BibTeX: Download
Schneider C. , Dahlke S. :Anisotropic Besov Regularity of parabolic PDEs In: Pure and Applied Functional Analysis (2022 )ISSN: 2189-3764 BibTeX: Download
Schneider C. , Szemenyei F. :Sobolev meets Besov: Regularity for the Poisson equation with Dirichlet, Neumann and mixed boundary values In: Analysis and Applications (2022 )ISSN: 0219-5305 DOI: 10.1142/s0219530522500026 BibTeX: Download
Schneider C. , Szemenyei F. , Hansen M. :An extension operator for Sobolev spaces with mixed weights In: Mathematische Nachrichten (2022 )ISSN: 0025-584X DOI: 10.1002/mana.202000590 BibTeX: Download
2021
Bänsch E. , Faghih-Naini S. :Simulations With a Thermodynamically Consistent Model for Convective Transport in Nanofluids In: Journal of Heat Transfer-Transactions of the Asme 143 (2021 ), Art.Nr.: ARTN 122501 ISSN: 0022-1481 DOI: 10.1115/1.4051601 BibTeX: Download
Bänsch E. , Morin P. :Convective Transport in Nanofluids: Regularity of Solutions and Error Estimates for Finite Element Approximations In: Journal of Mathematical Fluid Mechanics 23 (2021 )ISSN: 1422-6928 DOI: 10.1007/s00021-020-00554-y BibTeX: Download
Haroske D. , Schneider C. , Szarvas K. :Growth Envelopes of some variable and mixed function spaces. In: Journal of Geometric Analysis (2021 )ISSN: 1050-6926 DOI: 10.1007/s12220-021-00811-0 URL: http://arxiv.org/abs/2007.08210 BibTeX: Download
Kenter T. , Shambhu A. , Faghih-Naini S. , Aizinger V. :Algorithm-hardware co-design of a discontinuous Galerkin shallow-water model for a dataflow architecture on FPGA 2021 Platform for Advanced Scientific Computing Conference, PASC 2021 (Online , 05-07-2021 - 09-07-2021 )In: Proceedings of the Platform for Advanced Scientific Computing Conference, PASC 2021 2021 DOI: 10.1145/3468267.3470617 BibTeX: Download
Schneider C. :Beyond Sobolev and Besov: Regularity of solutions of PDEs and their traces in function spaces In: Beyond Sobolev and Besov
Regularity of Solutions of PDEs and Their Traces in Function Spaces , Springer Science and Business Media Deutschland GmbH , 2021 , S. 1-329 (Lecture Notes in Mathematics, Bd.2291) DOI: 10.1007/978-3-030-75139-5_1 BibTeX: Download
Schneider C. :Beyond Sobolev and Besov: Regularity of Solutions of PDEs and Their Traces in Function Spaces Berlin : Springer , 2021 (Lecture Notes in Mathematics, Bd.2291) DOI: 10.1007/978-3-030-75139-5 BibTeX: Download
Schneider C. , Dahlke S. :Regularity in Sobolev and Besov spaces for parabolic problems on domains of polyhedral type In: Journal of Geometric Analysis (2021 )ISSN: 1050-6926 DOI: 10.1007/s12220-021-00700-6 BibTeX: Download
2020
Alecsa CD. , Boros I. , Frank F. , Knabner P. , Nechita M. , Prechtel A. , Rupp A. , Suciu N. :Numerical benchmark study for flow in highly heterogeneous aquifers In: Advances in Water Resources (2020 ), S. 103558 ISSN: 0309-1708 DOI: 10.1016/j.advwatres.2020.103558 BibTeX: Download
Bänsch E. , Faghih-Naini S. , Morin P. :Convective transport in nanofluids: The stationary problem In: Journal of Mathematical Analysis and Applications 489 (2020 ), Art.Nr.: 124151 ISSN: 0022-247X DOI: 10.1016/j.jmaa.2020.124151 BibTeX: Download
Bänsch E. , Luttmann A. , Montalvo-Urquizo J. , Schmidt A. , Villarreal-Marroquín MG. :Simulation and multi-objective optimization to improve the final shape and process efficiency of a laser-based material accumulation process In: Journal of Mathematics in Industry 10 (2020 ), Art.Nr.: 2 ISSN: 2190-5983 DOI: 10.1186/s13362-020-0070-y BibTeX: Download
Liu C. , Frank F. , Thiele C. , Alpak FO. , Berg S. , Chapman W. , Riviere B. :An efficient numerical algorithm for solving viscosity contrast Cahn–Hilliard–Navier–Stokes system in porous media In: Journal of Computational Physics 400 (2020 ), Art.Nr.: 108948 ISSN: 0021-9991 DOI: 10.1016/j.jcp.2019.108948 BibTeX: Download
Perlitz J. , Prihoda F. , Bänsch E. , Lee G. , Will S. :Untersuchung der Protein-Einzeltropfentrocknung in einem akustischen Levitator mit Hilfe laseroptischer Messmethoden 10. ProcessNet-Jahrestagung und 34. DECHEMA-Jahrestagung der Biotechnologen 2020 (Online , 21-09-2020 - 24-09-2020 ) DOI: 10.1002/cite.202055027 BibTeX: Download
Reuter B. , Hajduk H. , Rupp A. , Frank F. , Aizinger V. , Knabner P. :FESTUNG 1.0: Overview, usage, and example applications of the MATLAB/GNU Octave toolbox for discontinuous Galerkin methods In: Computers & Mathematics with Applications (2020 )ISSN: 0898-1221 DOI: 10.1016/j.camwa.2020.08.018 BibTeX: Download
Reuter B. , Rupp A. , Aizinger V. , Frank F. , Knabner P. :FESTUNG: A MATLAB / GNU Octave Toolbox for the Discontinuous Galerkin Method. Part IV: Generic Problem Framework and Model-Coupling Interface In: Communications in Computational Physics 28 (2020 ), S. 827-876 ISSN: 1815-2406 DOI: 10.4208/cicp.OA-2019-0132 BibTeX: Download
Seehaus T. , Morgenshtern V. , Hübner F. , Bänsch E. , Braun M. :Novel Techniques for Void Filling in Glacier Elevation Change Data Sets In: Remote Sensing 12 (2020 ), S. 3917 ISSN: 2072-4292 DOI: 10.3390/rs12233917 BibTeX: Download
Sonner F. , Richter T. :Second Order Pressure Estimates for the Crank--Nicolson Discretization of the Incompressible Navier--Stokes Equations In: SIAM Journal on Numerical Analysis 58 (2020 ), S. 375-409 ISSN: 0036-1429 DOI: 10.1137/18M1234813 URL: https://arxiv.org/abs/1911.03900 BibTeX: Download
2019
Bänsch E. :A thermodynamically consistent model for convective transport in nanofluids: existence of weak solutions and fem computations In: Journal of Mathematical Analysis and Applications (2019 )ISSN: 0022-247X DOI: 10.1016/j.jmaa.2019.04.002 BibTeX: Download
Bänsch E. , Brenner A. :A posteriori estimates for the two-step backward differentiation formula and discrete regularity for the time-dependent Stokes equations In: IMA Journal of Numerical Analysis 39 (2019 ), S. 713-759 ISSN: 0272-4979 DOI: 10.1093/imanum/dry014 BibTeX: Download
Bänsch E. , Schmidt A. :Free boundary problems in fluids and materials In: Handbook of Numerical Analysis , Elsevier B.V. , 2019 (Handbook of Numerical Analysis) DOI: 10.1016/bs.hna.2019.05.004 BibTeX: Download
Dahlke S. , Jahan Q. , Schneider C. , Steidl G. , Teschke G. :Traces of shearlet coorbit spaces on domains In: Applied Mathematics Letters 91 (2019 ), S. 35-40 ISSN: 0893-9659 DOI: 10.1016/j.aml.2018.11.019 BibTeX: Download
Dahlke S. , Schneider C. :Besov regularity of parabolic and hyperbolic PDEs In: Analysis and Applications 17 (2019 ), S. 235-291 ISSN: 0219-5305 DOI: 10.1142/S0219530518500306 BibTeX: Download
Grosse N. , Schneider C. :Symmetries on manifolds: generalizations of the radial lemma of Strauss In: Revista Matematica Complutense 32 (2019 ), S. 365-393 ISSN: 1139-1138 DOI: 10.1007/s13163-018-0285-2 BibTeX: Download
Koldunov NV. , Aizinger V. , Rakowsky N. , Scholz P. , Sidorenko D. , Danilov S. , Jung T. :Scalability and some optimization of the Finite-volumE Sea ice-Ocean Model, Version 2.0 (FESOM2) In: Geoscientific Model Development 12 (2019 ), S. 3991-4012 ISSN: 1991-959X DOI: 10.5194/gmd-12-3991-2019 BibTeX: Download
Moura S. , Neves J. , Schneider C. :Traces and extensions of generalized smoothness Morrey spaces on domains In: Nonlinear Analysis - Theory Methods & Applications 181 (2019 ), S. 311-339 ISSN: 0362-546X DOI: 10.1016/j.na.2019.01.003 BibTeX: Download
Ray N. , Oberlander J. , Frolkovic P. :Numerical investigation of a fully coupled micro-macro model
for mineral dissolution and precipitation In: Computational Geosciences (2019 )ISSN: 1420-0597 DOI: 10.1007/s10596-019-09876-x BibTeX: Download
Schneider C. , Dahlke S. , Hansen M. , Sickel W. :On Besov regularity of solutions to nonlinear elliptic partial differential equations In: Nonlinear Analysis - Theory Methods & Applications (2019 )ISSN: 0362-546X DOI: 10.1007/s13163-012-0093-z BibTeX: Download
2018
Bänsch E. , Gahn M. :A mixed finite element method for elliptic operators with Wentzell boundary condition In: IMA Journal of Numerical Analysis (2018 )ISSN: 0272-4979 DOI: 10.1093/imanum/dry068 BibTeX: Download
Bänsch E. , Götz M. :Numerical study of droplet evaporation in an acoustic levitator In: Physics of Fluids 30 (2018 )ISSN: 1070-6631 DOI: 10.1063/1.5017936 BibTeX: Download
Bänsch E. , Karakatsani F. , Makridakis C. :A posteriori error estimates for fully discrete schemes for the time dependent Stokes problem In: Calcolo 55 (2018 )ISSN: 0008-0624 DOI: 10.1007/s10092-018-0259-2 BibTeX: Download
Frank F. , Liu C. , Scanziani A. , Alpak FO. , Rivière B. :An energy-based equilibrium contact angle boundary condition on jagged surfaces for phase-field methods In: Journal of Colloid and Interface Science 523 (2018 ), S. 282–291 ISSN: 0021-9797 DOI: 10.1016/j.jcis.2018.02.075 BibTeX: Download
Fried M. :Mathematik für Ingenieure I für Dummies Weinheim : Wiley-VCH Verlag GmbG & Co. KGaA , 2018 (für dummies, Bd.1)ISBN: 978-3-527-21501-5 BibTeX: Download
Fried M. :Übungsbuch Mathematik für Ingenieure für Dummies Weinheim : Wiley-VCH Verlag GmbH & Co. KGaA , 2018 (für dummies, Bd.1)ISBN: 9783527712380 , 352771238 BibTeX: Download
Fried M. , Aizinger V. , Bungert L. :Comparison of two local discontinuous Galerkin formulations for the subjective surfaces problem In: Computing and Visualization in Science (2018 )ISSN: 1432-9360 DOI: 10.1007/s00791-018-0291-4 URL: https://link.springer.com/article/10.1007%2Fs00791-018-0291-4 BibTeX: Download
Himmelsbach D. , Neuss-Radu M. , Neuß N. :Mathematical modelling and analysis of nanoparticle gradients induced by magnetic fields In: Journal of Mathematical Analysis and Applications 461 (2018 ), S. 1544-1560 ISSN: 0022-247X DOI: 10.1016/j.jmaa.2017.12.026 BibTeX: Download
Marx A. , Conrad M. , Aizinger V. , Prechtel A. , van Geldern R. , Barth J. :Groundwater data improve modelling of headwater stream CO2 outgassing with a stable DIC isotope approach In: Biogeosciences 15 (2018 ), S. 3093-3106 ISSN: 1726-4170 DOI: 10.5194/bg-15-3093-2018 URL: https://www.biogeosciences.net/15/3093/2018/ BibTeX: Download
Schneider C. , Dahlke S. :Describing the singular behaviour of parabolic equations on cones in fractional Sobolev spaces In: GEM - International Journal on Geomathematics 9 (2018 ), S. 293-315 ISSN: 1869-2672 DOI: 10.1007/s13137-018-0106-2 BibTeX: Download
Schneider C. , Haroske DD. , Skrzypczak L. :Morrey spaces on domains:Different approaches and growth envelopes In: Journal of Geometric Analysis 28 (2018 ), S. 817-841 ISSN: 1050-6926 DOI: 10.1007/s12220-017-9843-y BibTeX: Download
2017
Bänsch E. , Basting S. :PRECONDITIONERS FOR THE DISCONTINUOUS GALERKIN TIME-STEPPING METHOD OF ARBITRARY ORDER In: Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique 51 (2017 ), S. 1173-1195 ISSN: 0764-583X DOI: 10.1051/m2an/2016055 BibTeX: Download
Frank F. , Knabner P. :Convergence analysis of a BDF2/mixed finite element discretization of a Darcy–Nernst–Planck–Poisson system In: Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique 51 (2017 ), S. 1883-1902 ISSN: 0764-583X DOI: 10.1051/m2an/2017002 URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2017/2017_FrankKn_ConvergenceAnalysisOfBDFDarcyNernstPlanckPoissonSystem BibTeX: Download
Schneider C. , Haroske DD. , Moura SD. , Skrzypczak L. :Unboundedness properties of smoothness Morrey spaces of regular distributions In: Science China-Mathematics 60 (2017 ), S. 2349-2376 ISSN: 1674-7283 BibTeX: Download
Werner S. , Kurz M. , Stingl M. , Doell R. :Model-Based Optimization of Short Stroke Control in Roughing Mills In: Steel Research International 88 (2017 ), Art.Nr.: 1700220 ISSN: 1611-3683 DOI: 10.1002/srin.201700220 BibTeX: Download
Werner S. , Stingl M. , Leugering G. :Model-based control of dynamic frictional contact problems using the example of hot rolling In: Computer Methods in Applied Mechanics and Engineering 319 (2017 ), S. 442-471 ISSN: 0045-7825 DOI: 10.1016/j.cma.2017.03.006 BibTeX: Download
2016
Arne W. , Rivero-Rodriguez J. , Pérez-Saborid M. , Marheineke N. , Wegener R. :Homotopy method for viscous Cosserat rod model describing electrospinning In: Progress in Industrial Mathematics at ECMI 2014 , Springer , 2016 BibTeX: Download
Bungert L. , Aizinger V. , Fried M. :A Discontinuous Galerkin Method for the Subjective Surfaces Problem In: Journal of Mathematical Imaging and Vision (2016 ), S. in press ISSN: 1573-7683 DOI: 10.1007/s10851-016-0695-z BibTeX: Download
Bänsch E. , Basting S. , Fuhrmann E. , Dreyer M. :Free surface deformation and heat transfer by thermocapillary convection In: Heat and Mass Transfer 52 (2016 ), S. 855-876 ISSN: 0042-9929 DOI: 10.1007/s00231-015-1600-9 BibTeX: Download
Bänsch E. , Brenner A. :A POSTERIORI ERROR ESTIMATES FOR PRESSURE-CORRECTION SCHEMES In: SIAM Journal on Numerical Analysis 54 (2016 ), S. 2323-2358 ISSN: 0036-1429 DOI: 10.1137/15M102753X BibTeX: Download
Büchs D. , Ditter D. , Henselmann K. , Hering J. , Götz M. :Directors' Dealings am deutschen Kapitalmarkt In: Zeitschrift für Corporate Governance (2016 ), S. 101-106 ISSN: 1862-8702 BibTeX: Download
Cibis T. , Leithäuser C. , Marheineke N. , Wegener R. :Homogenization strategies for fiber curtains and bundles in air flows In: Progress in Industrial Mathematics at ECMI 2014 , Springer , 2016 BibTeX: Download
Gramsch S. , Klar A. , Leugering G. , Marheineke N. , Nessler C. , Strohmeyer C. , Wegener R. :Aerodynamic web forming: process simulation and material properties In: Journal of Mathematics in Industry 6 (2016 ), Art.Nr.: 13 ISSN: 2190-5983 DOI: 10.1186/s13362-016-0034-4 BibTeX: Download
Lindner F. , Marheineke N. , Stroot H. , Vibe A. , Wegener R. :Stochastic dynamics for inextensible fibers in a spatially semi-discrete setting In: Stochastics and Dynamics (2016 )ISSN: 0219-4937 DOI: 10.1142/S0219493717500162 BibTeX: Download
Lu Y. , Marheineke N. , Mohring J. :Interpolation strategy for BT-based parametric MOR of gas pipeline-networks In: PMS&A - Modelling, Simulation and Application , Springer , 2016 BibTeX: Download
Lu Y. , Marheineke N. , Mohring J. :MOR via quadratic-linear representation on nonlinear-parametric PDEs In: Progress in Industrial Mathematics at ECMI 2014 , Springer , 2016 BibTeX: Download
Marheineke N. , Liljegren-Sailer B. , Lorenz M. , Wegener R. :Asymptotics and numerics for the upper-convected Maxwell model describing transient curved viscoelastic jets In: Mathematical Models & Methods in Applied Sciences 26 (2016 ), S. 569-600 ISSN: 0218-2025 DOI: 10.1142/S021820251650010X BibTeX: Download
Reuter B. , Aizinger V. , Wieland M. , Frank F. , Knabner P. :FESTUNG: A MATLAB /GNU Octave toolbox for the discontinuous Galerkin method. Part II: Advection operator and slope limiting In: Computers & Mathematics with Applications 72 (2016 ), S. 1896-1925 ISSN: 0898-1221 DOI: 10.1016/j.camwa.2016.08.006 URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2016/2016_ReuterAizingerWielandFrankKn_FestungAMatLabGnuPartII BibTeX: Download
Rivero-Rodriguez J. , Arne W. , Marheineke N. , Wegener R. , Pérez-Saborid M. :Setup of viscous Cosserat rod model desribing electrospinning In: Progress in Industrial Mathematics at ECMI 2014 , Springer , 2016 BibTeX: Download
Schiessl S. , Marheineke N. , Wegener R. :A moving mesh framework based on three parametrization layers for 1d PDEs In: Progress in Industrial Mathematics at ECMI 2014 , Springer , 2016 BibTeX: Download
Vibe A. , Marheineke N. :Impact of weak particle inertia on dilute suspensions of ellipsoids In: Journal of Computational and Theoretical Transport (2016 )ISSN: 2332-4325 DOI: 10.1080/23324309.2016.1181090 BibTeX: Download
2015
Arne W. , Marheineke N. , Meister A. , Schiessl S. , Wegener R. :Finite volume approach for the instationary Cosserat rod model describing the spinning of viscous jets In: Journal of Computational Physics 294 (2015 ), S. 20-37 ISSN: 0021-9991 DOI: 10.1016/j.jcp.2015.03.042 BibTeX: Download
Bänsch E. , Krahl R. , Basting S. :NUMERICAL SIMULATION OF TWO-PHASE FLOWS WITH HEAT AND MASS TRANSFER In: Discrete and Continuous Dynamical Systems 35 (2015 ), S. 2325-2347 ISSN: 1078-0947 DOI: 10.3934/dcds.2015.35.2325 BibTeX: Download
Grothaus M. , Marheineke N. :On a nonlinear partial differential algebraic system arising in technical textile industry: Analysis and numerics In: IMA Journal of Numerical Analysis (2015 )ISSN: 0272-4979 DOI: 10.1093/imanum/drv056 BibTeX: Download
Marheineke N. :Problemlösungskompetenz Mathematische Modellierung In: Studien- und Berufsplaner Mathematik , Heidelberg : Springer Spektrum , 2015 , S. 140-142 BibTeX: Download
Wegener R. , Marheineke N. , Hietel D. :Virtual production of filaments and fleeces In: H. Neunzert, D. Prätzel-Wolters (Hrsg.): Currents in Industrial Mathematics , Springer Berlin Heidelberg , 2015 , S. 103-162 ISBN: 9783662482575 DOI: 10.1007/978-3-662-48258-2_6 BibTeX: Download
Wegener R. , Marheineke N. , Hietel D. :Virtuelle Produktion von Filamenten und Vliesstoffen In: H. Neunzert, D. Praetzel-Wolters (Hrsg.): Mathematik im Fraunhofer Institut , Heidelberg : Springer , 2015 , S. 105-165 BibTeX: Download
2014
Arne W. , Marheineke N. , Meister A. , Wegener R. :Numerical treatment on non-stationary viscous Cosserat rod in a two-dimensional Eulerian framework In: Progress in Industrial Mathematics at ECMI 2012 , Springer , 2014 , S. 99-107 BibTeX: Download
Brenner A. , Bänsch E. , Bause M. :A priori error analysis for finite element approximations of the Stokes problem on dynamic meshes In: IMA Journal of Numerical Analysis 34 (2014 ), S. 123-146 ISSN: 0272-4979 DOI: 10.1093/imanum/drt001 BibTeX: Download
Bänsch E. :A finite element pressure correction scheme for the Navier-Stokes equations with traction boundary condition In: Computer Methods in Applied Mechanics and Engineering 279 (2014 ), S. 198-211 ISSN: 0045-7825 DOI: 10.1016/j.cma.2014.06.030 BibTeX: Download
Bänsch E. , Basting S. , Krahl R. :Numerical simulation of two-phase flows with heat- and mass transfer In: Discrete and Continuous Dynamical Systems 35 (2014 ), S. 2325-2347 ISSN: 1078-0947 DOI: 10.3934/dcds.2015.35.2325 BibTeX: Download
Bänsch E. , Benner P. , Saak J. , Weichelt HK. :Riccati-based boundary feedback stabilization of incompressible Navier-Stokes flows In: SIAM Journal on Scientific Computing 37 (2014 ), S. 832-858 ISSN: 1064-8275 DOI: 10.1137/140980016 BibTeX: Download
Bänsch E. , Lee G. , Reismann S. :Numerical Solution for 5-Layer Laminate Technique to determine Saturation Solubility of a Drug in a Thin Film of Pressure Sensitive Adhesive In: Pharmaceutical Development and Technology 19 (2014 ), S. 634-640 ISSN: 1083-7450 DOI: 10.3109/10837450.2013.819016 URL: http://www.pharmtech.uni-erlangen.de BibTeX: Download
Cibis T. , Marheineke N. :Model-based medical decision support for glucose balance in ICU patients: Optimization and analysis In: Progress in Industrial Mathematics at ECMI 2012 , Springer , 2014 , S. 237-243 BibTeX: Download
Cibis T. , Marheineke N. , Wegener R. :Asymptotic modeling framework for fiber-flow interactions in a two-way coupling In: Progress in Industrial Mathematics at ECMI 2012 , Springer , 2014 , S. 109-117 BibTeX: Download
Fontes M. , Günther M. , Marheineke N. (Hrsg.):Progress in Industrial Mathematics at ECMI 2012 2014 (The European Consortium for Mathematics in Industry, Bd. 19)ISBN: 978-3-319-05365-3 DOI: 10.1007/978-3-319-05365-3 BibTeX: Download
Fried M. :Mathematik für Ingenieure I für Dummies Weinheim : Wiley-VCH Verlag GmbH & Co. KGaA , 2014 (Für Dummies) BibTeX: Download
Hübsch F. , Marheineke N. , Wegener R. :Efficient simultaion of random fields for fiber-fluid interactions in isotropic turbulence In: Magnus Fontes, Michael Günther, Nicole Marheineke (Hrsg.): Progress in Industrial Mathematics at ECMI 2012 , Springer , 2014 , S. 119-126 (Mathematics in Industry, Bd.19)ISBN: 978-3-319-05364-6 DOI: 10.1007/978-3-319-05365-3_16 BibTeX: Download
Kulev N. , Basting S. , Bänsch E. , Dreyer M. :Interface reorientation of cryogenic liquids under non-isothermal boundary conditions In: Cryogenics 62 (2014 ), S. 48-59 ISSN: 0011-2275 DOI: 10.1016/j.cryogenics.2014.04.006 BibTeX: Download
Lorenz M. , Marheineke N. , Wegener R. :On viscoelastic fiber spinning: Die swell effect in 1d uniaxial UCM model In: Progress in Industrial Mathematics at ECMI 2012 , Springer , 2014 , S. 91-98 BibTeX: Download
Marheineke N. , Cibis T. , Schiessl S. , Pielmeier U. :Optimal control of glucose balance in ICU patients based on GlucoSafe model In: Journal of Mathematics in Industry 4 (2014 )ISSN: 2190-5983 DOI: 10.1186/2190-5983-4-3 BibTeX: Download
Marheineke N. , Lorenz M. , Wegener R. :On simulations of spinning processes with a stationary one-dimensional upper convected Maxwell model In: Journal of Mathematics in Industry 4 (2014 )ISSN: 2190-5983 DOI: 10.1186/2190-5983-4-2 BibTeX: Download
Prignitz R. , Bänsch E. :Particulate flows with the subspace projection method In: Journal of Computational Physics 260 (2014 ), S. 249-272 ISSN: 0021-9991 DOI: 10.1016/j.jcp.2013.12.030 BibTeX: Download
Schneider C. , Neves JS. , Moura SD. :Spaces of generalized smoothness in the critical case: optimal embeddings, continuity envelopes and approximation numbers In: Journal of Approximation Theory 187 (2014 ), S. 82--117 ISSN: 0021-9045 DOI: 10.1016/j.jat.2014.07.010 BibTeX: Download
2013
Bänsch E. , Karakatsani F. , Makridakis C. :The effect of mesh modification in time on the error control of fully discrete approximations for parabolic equations In: Applied Numerical Mathematics 67 (2013 ), S. 35-63 ISSN: 0168-9274 DOI: 10.1016/j.apnum.2011.08.008 BibTeX: Download
Bäumler K. , Bänsch E. :A subspace projection method for the implementation of interface conditions in a single-drop flow problem In: Journal of Computational Physics 252 (2013 ), S. 438-457 ISSN: 0021-9991 DOI: 10.1016/j.jcp.2013.06.024 BibTeX: Download
Drago C. , Marheineke N. , Pinnau R. :Semiconductor device optimization in the presence of thermal effects In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 93 (2013 ), S. 700-705 ISSN: 0044-2267 DOI: 10.1002/zamm.201100171 BibTeX: Download
Fried M. :Mathematik für Ingenieure II für Dummies Weinheim : Wiley-VCH Verlag GmbH & Co. KGaA , 2013 (Für Dummies)ISBN: 978-3-527-70693-8 BibTeX: Download
Hübsch F. , Marheineke N. , Ritter K. , Wegener R. :Random field sampling for a simplified model of melt-blowing considering turbulent velocity fluctuations In: Journal of Statistical Physics 150 (2013 ), S. 1115-1137 ISSN: 0022-4715 DOI: 10.1007/s10955-013-0715-y BibTeX: Download
Schneider C. , Große N. :Sobolev spaces on Riemannian manifolds with bounded geometry: general coordinates and traces In: Mathematische Nachrichten 286 (2013 ), S. 1586--1613 ISSN: 0025-584X DOI: 10.1002/mana.201300007 BibTeX: Download
Schneider C. , Moura SD. , Neves JS. :On trace spaces of 2-microlocal Besov spaces with variable integrability In: Mathematische Nachrichten 286 (2013 ), S. 1240--1254 ISSN: 0025-584X DOI: 10.1002/mana.201200092 BibTeX: Download
Schneider C. , Vybíral J. :Non-smooth atomic decompositions, traces on Lipschitz domains, and pointwise multipliers in function spaces In: Journal of Functional Analysis 264 (2013 ), S. 1197--1237 ISSN: 0022-1236 DOI: 10.1016/j.jfa.2012.12.005 BibTeX: Download
2012
Alassi S. , Kowarschik M. , Pohl T. , Köstler H. , Rüde U. :Estimating Blood Flow Based on 2D Angiographic Image Sequences In: Bildverarbeitung für die Medizin 2012 , Berlin, Heidelberg : Springer , 2012 , S. 380-385 ISBN: 978-3-642-28502-8 DOI: 10.1007/978-3-642-28502-8-66 URL: http://link.springer.com/content/pdf/10.1007/978-3-642-28502-8_66.pdf BibTeX: Download
Arne W. , Marheineke N. , Wegener R. :Asymptotic models of different complexity for viscous jets and their applicability regimes In: M. Günther A. Bartel, M. Brunk, S. Schöps, M. Striebel (Hrsg.): Progress in Industrial Mathematics at ECMI 2010 , Springer , 2012 , S. 349-356 BibTeX: Download
Bause M. , Brunner F. , Knabner P. , Radu AF. :An Improved Optimal Order Mixed Finite Element Method for Semilinear Transport Problems In: Andrea Cangiani, Ruslan L. Davidchack, Emmanuil Georgoulis, Alexander N. Gorban, Jeremy Levesley, Michael V. Tretyakov (Hrsg.): Numerical Mathematics and Advanced Applications 2011 , Berlin Heidelberg : Springer , 2012 , S. 247-255 ISBN: 978-3-642-33133-6 DOI: 10.1007/978-3-642-33134-3_27 URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2012/2012_BauseBrunnerKnRadu_AnImprOptimOrdMixFinitElemMethodForSemilinTranspProbl BibTeX: Download
Brunner F. , Radu AF. , Bause M. , Knabner P. :Optimal order convergence of a modified BDM 1 mixed finite element scheme for reactive transport in porous media In: Advances in Water Resources 35 (2012 ), S. 163-171 ISSN: 0309-1708 DOI: 10.1016/j.advwatres.2011.10.001 URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2012/2012_BrunnerRaduBauseKn_OptimalOrderConvergenceOfModifiedBDMMixedFiniteInPM BibTeX: Download
Bänsch E. , Benner P. :Stabilization of incompressible flow problems by Riccati-based feedback In: Günter Leugering, Sebastian Engell, Andreas Griewank, Michael Hinze, Rolf Rannacher, Volker Schulz, Michael Ulbrich, Stefan Ulbrich, (Hrsg.): Constrained Optimization and Optimal Control for Partial Differential Equations , Basel : Birkhäuser/ Springer Basel AG , 2012 , S. 5-20 (International Series of Numerical Mathematics, Bd.160)ISBN: 978-3-0348-0132-4 DOI: 10.1007/978-3-0348-0133-1_1 BibTeX: Download
Bänsch E. , Kaltenbacher M. , Leugering G. , Schury F. , Wein F. :Optimization of electro-mechanical smart structures In: Günter Leugering, Sebastian Engell, Andreas Griewank, Michael Hinze, Rolf Rannacher, Volker Schulz, Michael Ulbrich, Stefan Ulbrich, (Hrsg.): Constrained Optimization and Optimal Control for Partial Differential Equations , Basel : Birkhäuser/ Springer Basel AG , 2012 , S. 501-519 (International Series of Numerical Mathematics, Bd.160)ISBN: 978-3-0348-0132-4 DOI: 10.1007/978-3-0348-0133-1_26 BibTeX: Download
Bänsch E. , Karakatsani F. , Makridakis C. :A posteriori error control for fully discrete Crank-Nicolson schemes In: SIAM Journal on Numerical Analysis 50 (2012 ), S. 2845-2872 ISSN: 0036-1429 DOI: 10.1137/110839424 BibTeX: Download
Bänsch E. , Weller S. :A comparison of several time discretization methods for free surface flows In: Angela Handlovicova, Zuzana Minarechova, Daniel Sevcovic (Hrsg.): ALGORITMY 2012, 19th Conference on Scientific Computing , 2012 , S. 331-341 BibTeX: Download
Bänsch E. , Weller S. :Linearly implicit time discretization for free surface problems In: Proceedings in Applied Mathematics and Mechanics 12 (2012 ), S. 525-526 ISSN: 1617-7061 DOI: 10.1002/pamm.201210251 BibTeX: Download
Krahl R. , Bänsch E. :On the stability of an evaporating liquid surface In: Fluid Dynamics Research 44 (2012 ), S. 0314019 ISSN: 0169-5983 DOI: 10.1088/0169-5983/44/3/031409 BibTeX: Download
Marheineke N. , Liljo J. , Mohring J. , Schnebele J. , Wegener R. :Multiphysics and multimethods problem of rotational glass fiber melt-spinning In: International Journal of Numerical Analysis and Modeling 3 (2012 ), S. 330-344 ISSN: 1705-5105 URL: http://publica.fraunhofer.de/documents/N-356255.html BibTeX: Download
Marheineke N. , Pinnau R. :Model hierarchies in space-mapping optimization: Feasibility study for transport processes In: Journal of Computational Methods in Sciences and Engineering 12 (2012 ), S. 63-74 ISSN: 1472-7978 DOI: 10.3233/JCM-2012-0404 BibTeX: Download
Marheineke N. , Pinnau R. , Reséndiz E. :Space mapping-focused control techniques for particle dispersions in fluids In: Optimization and Engineering 13 (2012 ), S. 101-120 ISSN: 1389-4420 DOI: 10.1007/s11081-011-9150-6 BibTeX: Download
Marheineke N. , Wegener R. :Stochastic PDAE-models and associated Monte-Carlo simulations for elastic threads in turbulent flows In: M. Günther, A. Bartel, M. Brunk, S. Schöps, M. Striebel (Hrsg.): Progress in Industrial Mathematics at ECMI 2010 , Springer , 2012 , S. 239-246 BibTeX: Download
Olawsky F. , Hering-Bertram M. , Schmeisser A. , Marheineke N. :Numerical treatment of fiber-fiber and fiber-obstacle contacts in technical textile manufacturing In: M. Günther, A. Bartel, M. Brunk, S. Schöps, M. Striebel (Hrsg.): Progress in Industrial Mathematics at ECMI 2010 , 2012 , S. 335-340 BibTeX: Download
Peschka D. , Schmidt J. , Wagner B. , Bänsch E. , Münch A. , Peukert W. , Prignitz R. :Conductivity in nonpolar media: Experimental and numerical studies on sodium AOT-hexadecane, lecithin-hexadecane and aluminum(III)-3,5-diisopropyl salicylate-hexadecane systems In: Journal of Colloid and Interface Science 386 (2012 ), S. 240-251 ISSN: 0021-9797 DOI: 10.1016/j.jcis.2012.07.051 BibTeX: Download
Schneider C. , Vybíral J. :Homogeneity property of Besov and Triebel-Lizorkin spaces In: Journal of Function Spaces and Applications (2012 ), S. Art. ID 281085, 17 ISSN: 0972-6802 DOI: 10.1155/2012/281085 BibTeX: Download
2011
Arne W. , Marheineke N. , Schnebele J. , Wegener R. :Fluid-fiber-interactions in rotational spinning process of glass wool production In: Journal of Mathematics in Industry 1 (2011 ), S. 1-26 ISSN: 2190-5983 DOI: 10.1186/2190-5983-1-2 BibTeX: Download
Arne W. , Marheineke N. , Wegener R. :Asymptotic transition from cosserat rod to string models for curved viscous inertial jets In: Mathematical Models & Methods in Applied Sciences 21 (2011 ), S. 1987-2018 ISSN: 0218-2025 DOI: 10.1142/S0218202511005635 BibTeX: Download
Bänsch E. , Morin P. , Nochetto R. :Preconditioning a class of fourth order problems by operator splitting In: Numerische Mathematik 118 (2011 ), S. 197-228 ISSN: 0029-599X DOI: 10.1007/s00211-010-0333-4 BibTeX: Download
Bänsch E. , Weller S. :Fully implicit time discretization for a free surface flow problem In: Proceedings in Applied Mathematics and Mechanics 11 (2011 ), S. 619-620 ISSN: 1617-7061 DOI: 10.1002/pamm.201110299 BibTeX: Download
Karpinski H. , Sakwe A. , Fried MJ. , Bänsch E. , Wellmann P. :Efficient Image Segmentation for Detection of Dislocations in High Resolution Light Microscope Images of SiC Wafers In: Materials Science Forum 679-680 (2011 ), S. 277-281 ISSN: 0255-5476 DOI: 10.4028/www.scientific.net/MSF.679-680.277 BibTeX: Download
Marburger J. , Marheineke N. , Pinnau R. :Adjoint-based optimal control using meshfree discretizations In: Journal of Computational and Applied Mathematics 235 (2011 ), S. 3138-3150 ISSN: 0377-0427 DOI: 10.1016/j.cam.2010.12.018 BibTeX: Download
Marheineke N. :Mathematiker spinnen?! - Asymptotische Modellierung In: K. Wendland, A. Werner (Hrsg.): Facettenreiche Mathematik - Einblicke in die moderne mathematische Forschung , Wiesbaden : Vieweg + Teubner , 2011 , S. 273-290 BibTeX: Download
Marheineke N. , Wegener R. :Modeling and application of a stochastic drag for fibers in turbulent flows In: International Journal of Multiphase Flow 37 (2011 ), S. 136-148 ISSN: 0301-9322 DOI: 10.1016/j.ijmultiphaseflow.2010.10.001 BibTeX: Download
Repke S. , Marheineke N. , Pinnau R. :Two adjoint-based optimization approaches for a free surface Stokes flow In: SIAM Journal on Applied Mathematics 71 (2011 ), S. 2168-2184 ISSN: 0036-1399 DOI: 10.1137/100797953 BibTeX: Download
Schneider C. :Trace operators on fractals, entropy and approximation numbers In: Georgian Mathematical Journal 18 (2011 ), S. 549--575 ISSN: 1072-947X BibTeX: Download
Schneider C. :Traces of Besov and Triebel-Lizorkin spaces on domains In: Mathematische Nachrichten 284 (2011 ), S. 572--586 ISSN: 0025-584X DOI: 10.1002/mana.201010052 BibTeX: Download
Schneider C. , Moura SD. , Neves JS. :Optimal embeddings of spaces of generalized smoothness in the critical case In: Journal of Fourier Analysis and Applications 17 (2011 ), S. 777--800 ISSN: 1069-5869 DOI: 10.1007/s00041-010-9155-0 BibTeX: Download
Wein F. , Kaltenbacher M. , Kaltenbacher B. , Leugering G. , Bänsch E. , Schury F. :On the effect of self-penalization of piezoelectric composites in topology optimization In: Structural and Multidisciplinary Optimization 43 (2011 ), S. 405-417 ISSN: 1615-147X DOI: 10.1007/s00158-010-0570-2 BibTeX: Download
2010
Arne W. , Marheineke N. , Meister A. , Wegener R. :Numerical analysis of Cosserat rod and string models for viscous jets in rotational spinning processes In: Mathematical Models & Methods in Applied Sciences 20 (2010 ), S. 1941-1965 ISSN: 0218-2025 DOI: 10.1142/S0218202510004738 BibTeX: Download
Bause M. , Hoffmann J. , Knabner P. :First-order convergence of multi-point flux approximation on triangular grids and comparison with mixed finite element methods In: Numerische Mathematik 116 (2010 ), S. 1-29 ISSN: 0029-599X DOI: 10.1007/s00211-010-0290-y URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2010/2010_BauseHoffmannKn_FirstorderConvergenceOfMultiPointFlux BibTeX: Download
Fried M. :Mathematik für Ingenieure I für Dummies Weinheim : Wiley-VCH Verlag GmbH & Co KGaA , 2010 (Für Dummies)ISBN: 978-3-527-70504-7 BibTeX: Download
Marheineke N. :Models and methods for viscous jets, break-up and drop forming In: A. Fitt, J. Norbury, H. Ockendon, E. Wilson (Hrsg.): Progress in Industrial Mathematics at ECMI 2008 , Springer , 2010 , S. 589-590 BibTeX: Download
Marheineke N. , Wegener R. :General sting theory for dynamic curved viscida with surface tension In: A. Fitt, J. Norbury H. Ockendon, E. Wilson (Hrsg.): Progress in Industrial Mathematics at ECMI 2008 , Springer , 2010 , S. 591-596 BibTeX: Download
Prignitz R. , Bänsch E. :Numerical simulation of suspension induced rheology In: Kybernetika 46 (2010 ), S. 281-293 ISSN: 0023-5954 BibTeX: Download
Schneider C. :Trace operators in Besov and Triebel-Lizorkin spaces In: Zeitschrift für Analysis und ihre Anwendungen 29 (2010 ), S. 275--302 ISSN: 0232-2064 DOI: 10.4171/ZAA/1409 BibTeX: Download
Scurtu N. , Bänsch E. :Influence of the Weissenberg number on the stability of Oldroyd kind fluids In: Asia-Pacific Journal of Chemical Engineering 5 (2010 ), S. 657-673 ISSN: 1932-2135 BibTeX: Download
2009
Bäumler K. , Wegener M. , Bänsch E. , Paschedag A. :2d simulations of interfacial instabilities at deformable single doplets Seventh International Conference on CFD in the Minerals and Process Industries, CSIRO (Melbourne , 09-12-2009 - 11-12-2009 )In: Proceedings of the Seventh International Conference on CFD in the Minerals and Process Industries, CSIRO 2009 BibTeX: Download
Fried M. :Multichannel image segmentation using adaptive finite elements In: Computing and Visualization in Science 12 (2009 ), S. 125 - 135 ISSN: 1432-9360 BibTeX: Download
Klar A. , Marheineke N. , Wegener R. :Hierarchy of mathematical models for production processes of technical textiles In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 89 (2009 ), S. 941-961 ISSN: 0044-2267 DOI: 10.1002/zamm.200900282 BibTeX: Download
Marheineke N. , Wegener R. :Asymptotic model for the dynamics of curved viscous fibres with surface tension In: Journal of Fluid Mechanics 622 (2009 ), S. 345-369 ISSN: 0022-1120 DOI: 10.1017/S0022112008005259 BibTeX: Download
Radu FA. , Bause M. , Knabner P. , Friess W. , Metzmacher I. :Numerical simulation of drug release from collagen matrices by Enzymatic degradation In: Computing and Visualization in Science 12 (2009 ), S. 409-420 ISSN: 1432-9360 DOI: 10.1007/s00791-008-0118-9 URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2009/2009_RaduBauseKnFriessMetzmacher_NumericalSimulationOfDrugReleaFromCollagenMetricsByEnzymDegrad BibTeX: Download
Schneider C. :Besov spaces with positive smoothness (Dissertation, 2009 ) BibTeX: Download
Schneider C. :On dilation operators in Besov spaces In: Revista Matematica Complutense 22 (2009 ), S. 111--128 ISSN: 1139-1138 DOI: 10.5209/rev_REMA.2009.v22.n1.16324 BibTeX: Download
Schneider C. :Spaces of Sobolev type with positive smoothness on {$\Bbb R^n$}, embeddings and growth envelopes In: Journal of Function Spaces and Applications 7 (2009 ), S. 251--288 ISSN: 0972-6802 DOI: 10.1155/2009/815676 BibTeX: Download
Schneider C. , Haroske DD. :Besov spaces with positive smoothness on {$\Bbb R^n$}, embeddings and growth envelopes In: Journal of Approximation Theory 161 (2009 ), S. 723--747 ISSN: 0021-9045 DOI: 10.1016/j.jat.2008.12.004 BibTeX: Download
Schneider C. , Vybíral J. :On dilation operators in Triebel-Lizorkin spaces In: Functiones et Approximatio, Commentarii Mathematici 41 (2009 ), S. 139--162 ISSN: 0208-6573 DOI: 10.7169/facm/1261157806 BibTeX: Download
Wegener M. , Eppinger T. , Bäumler K. , Kraume M. , Paschedag A. , Bänsch E. :Transient Rise Velocity and Mass Transfer of a Single Drop with Interfacial Instabilities In: Chemical Engineering Science 64 (2009 ), S. 4835-4845 ISSN: 0009-2509 DOI: 10.1016/j.ces.2009.07.023 BibTeX: Download
Wein F. , Kaltenbacher M. , Leugering G. , Bänsch E. , Schury F. :Topology optimization of a piezoelectric-mechanical actuator with single- and multiple-frequency excitation In: International Journal of Applied Electromagnetics and Mechanics 30 (2009 ), S. 201-221 ISSN: 1383-5416 DOI: 10.3233/JAE-2009-1022 URL: http://content.iospress.com/articles/international-journal-of-applied-electromagnetics-and-mechanics/jae01022 BibTeX: Download
2008
Bänsch E. , Goncharova O. , Koop A. , Kröner D. :Mathematical and numerical modelling of fluid flow in elastic tubes In: Egon Krause, Yurii I. Shokin, Michael Resch, Nina Shokina (Hrsg.): Computational Science and High Performance Computing III , Springer , 2008 , S. 102-121 (Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Bd.101) DOI: 10.1007/978-3-540-69010-8_9 BibTeX: Download
Krahl R. , Gerstmann J. , Behruzi P. , Bänsch E. , Dreyer ME. :Dependency of the Apparent Contact Angle on Nonisothermal Conditions In: Physics of Fluids 20 (2008 ), S. 042101 ISSN: 0031-9171 DOI: 10.1063/1.2899641 URL: http://link.aip.org/link/?PHFLE6/20/042101/1 BibTeX: Download
Panda S. , Marheineke N. , Wegener R. :Systematic derivation of an asymptotic model for the dynamics of curved viscous fibers In: Mathematical Methods in the Applied Sciences 31 (2008 ), S. 1153-1173 ISSN: 0170-4214 DOI: 10.1002/mma.962 BibTeX: Download
2007
Bonilla LL. , Götz T. , Klar A. , Marheineke N. , Wegener R. :Hydrodynamic limit for the Fokker-Planck equation describing fiber lay-down models In: SIAM Journal on Applied Mathematics 68 (2007 ), S. 648-665 ISSN: 0036-1399 DOI: 10.1137/070692728 BibTeX: Download
Götz T. , Klar A. , Marheineke N. , Wegener R. :A stochastic model and associated Fokker-Planck equation for the fiber lay-down process in nonwoven production processes In: SIAM Journal on Applied Mathematics 67 (2007 ), S. 1704-1717 ISSN: 0036-1399 DOI: 10.1137/06067715X BibTeX: Download
Marheineke N. , Wegener R. :Fiber dynamics in turbulent flows: Specific taylor drag In: SIAM Journal on Applied Mathematics 68 (2007 ), S. 1-23 ISSN: 0036-1399 DOI: 10.1137/06065489X BibTeX: Download
Panda S. , Marheineke N. , Wegener R. :Dynamics of curved viscous fibers In: L. L. Bonilla, M. Moscoso, G. Platero, J. M. Vega (Hrsg.): Progress in Industrial Mathematics at ECMI 2006 , Springer , 2007 , S. 685-690 BibTeX: Download
2006
Bänsch E. , Davis D. , Langmach H. , Reinhardt G. , Uhle ME. :Two- and three-dimensional transient melt-flow simulation in vapour-pressure-controlled Czochralski crystal growth In: Computers & Fluids 35 (2006 ), S. 1400-1419 ISSN: 0045-7930 DOI: 10.1016/j.compfluid.2005.01.004 BibTeX: Download
Han J. , Berkels B. , Rumpf M. , Hornegger J. , Droske M. , Fried M. , Scorzin J. , Schaller C. :A Variational Framework for Joint Image Registration, Denoising and Edge Detection Bildverarbeitung für die Medizin BVM 2007 Algorithmen, Systeme, Anwendungen (Hamburg , 19-03-2006 - 21-03-2006 )In: Handels H., Ehrhardt J., Horsch A., Meinzer H.-P., Tolxdorff T. (Hrsg.): Bildverarbeitung für die Medizin 2006 , Hamburg : 2006 DOI: 10.1007/3-540-32137-3_50 URL: http://www5.informatik.uni-erlangen.de/Forschung/Publikationen/2006/Han06-VAJ.pdf BibTeX: Download
Marheineke N. , Wegener R. :Fiber dynamics in turbulent flows: General modeling framework In: SIAM Journal on Applied Mathematics 66 (2006 ), S. 1703-1726 ISSN: 0036-1399 DOI: 10.1137/050637182 BibTeX: Download
Neuß N. , Neuss-Radu M. , Mikelic A. :Effective laws for the Poisson equation on domains with curved oscillating boundaries In: Applicable Analysis (2006 ), S. 479-502 ISSN: 0003-6811 DOI: 10.1080/00036810500340476 BibTeX: Download
Schneider C. :Growth envelopes in Sobolev spaces (Diplomarbeit, 2006 ) BibTeX: Download
2005
Bänsch E. , Haußer F. , Voigt A. :Finite element method for epitaxial growth with thermodynamic boundary conditions In: SIAM Journal on Scientific Computing 26 (2005 ), S. 2029-2046 ISSN: 1064-8275 DOI: 10.1137/030601028 BibTeX: Download
Bänsch E. , Krahl R. :Computational Comparison Between the Taylor-Hood and the Conforming Crouzeix-Raviart Element 17th Conference on Scientific Computing (Podbanské, Vysoké Tatry, , 13-03-2005 - 18-03-2005 )In: Handlovicova, Angela ; Kriva, Zuzana ; Mikula, Karol ; Sevcovic, Daniel (Hrsg.): ALGORITMY 2005 2005 BibTeX: Download
Bänsch E. , Morin P. , Nochetto R. :A Finite Element Method for Surface Diffusion: the Parametric Case In: Journal of Computational Physics 203 (2005 ), S. 321-343 ISSN: 0021-9991 DOI: 10.1016/j.jcp.2004.08.022 BibTeX: Download
Bänsch E. , Scurtu N. :Numerical and Stability Aspects of Non-Newtonian Fluid Flow In: Proceedings in Applied Mathematics and Mechanics 5 (2005 ), S. 841-842 ISSN: 1617-7061 DOI: 10.1002/pamm.200510392 BibTeX: Download
Bänsch E. , Tobiska L. , Walkington NJ. :Mini-Workshop: Interface Problems in Computational Fluid Dynamics In: Oberwolfach reports 2 (2005 ), S. 465-502 ISSN: 1660-8933 URL: http://www.ems-ph.org/journals/show_abstract.php?issn=1660-8933&vol=2&iss=1&rank=8 BibTeX: Download
Krahl R. , Bänsch E. :Impact of Marangoni Effects on the Apparent Contact Angle - A Numerical Investigation In: Microgravity Science and Technology 17 (2005 ), S. 39-44 ISSN: 0938-0108 DOI: 10.1007/BF02872086 BibTeX: Download
Marheineke N. :Modeling of turbulence effects on fiber motion In: A. Di Bucchianico, R. M. M. Mattheij, M. A. Peletier (Hrsg.): Progress in Industrial Mathematics at ECMI 2004 , Springer , 2005 , S. 366-370 BibTeX: Download
Marheineke N. :Turbulent Fibers - On the Motion of Long Flexible Fibers in Turbulent Flows (Dissertation, 2005 ) BibTeX: Download
2004
Azerad P. , Bänsch E. :Quasi-Stability of the Primary Flow in a Cone and Plate Viscometer In: Journal of Mathematical Fluid Mechanics 6 (2004 ), S. 253-271 ISSN: 1422-6928 DOI: 10.1007/s00021-003-0093-3 BibTeX: Download
Bamberger A. , Bänsch E. , Siebert KG. :Experimental and Numerical Investigation of Edge Tones In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 84 (2004 ), S. 632-646 ISSN: 0044-2267 DOI: 10.1002/zamm.200310122 BibTeX: Download
Bause M. , Knabner P. :Computation of variably saturated subsurface flow by adaptive mixed hybrid finite element methods In: Advances in Water Resources 27 (2004 ), S. 565-581 ISSN: 0309-1708 DOI: 10.1016/j.advwatres.2004.03.005 URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2004/2004_BauseKn_ComputOfVariabSaturSubsurfFlowByAdaptMixHyridFinitElemtMeth BibTeX: Download
Bause M. , Knabner P. :Numerical simulation of contaminant biodegradation by higher order methods and adaptive time stepping In: Computing and Visualization in Science 7 (2004 ), S. 61-78 ISSN: 1432-9360 DOI: 10.1007/s00791-004-0139-y URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2004/2004_BauseKn_NumericalSimulationOfContaminaBiodegradTimeStepping BibTeX: Download
Bause M. , Knabner P. :On uniform convergence rates for Eulerian and Lagrangian finite element approximations of convection-dominated diffusion problems In: Calcolo 41 (2004 ), S. 1-26 ISSN: 0008-0624 DOI: 10.1007/s10092-004-0081-x URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2004/2004_BauseKn_OnUniformConvergenceRatesForEulerianLagrangianFinElemApproxOfConvDominDiffProbl BibTeX: Download
Bänsch E. , Berg CP. , Ohlhoff A. :Uniaxial, Extensional Flows in Liquid Bridges In: Journal of Fluid Mechanics 521 (2004 ), S. 353-379 ISSN: 0022-1120 DOI: 10.1017/S0022112004001193 BibTeX: Download
Bänsch Eberhard, Davis Dominic, Langmach Hartmut, Miller Wolfram, Rehse Uwe, Reinhardt Gerd, Uhle Manfred:Axisymmetric and 3D Calculations of Melt Flow During VCz Growth In: Journal of Crystal Growth 266 (2004 ), S. 60-66 ISSN: 0022-0248 DOI: 10.1016/j.jcrysgro.2004.02.030 BibTeX: Download
Bänsch E. , Haußer F. , Lakkis O. , Li B. , Voigt A. :Finite Element Method for Epitaxial Growth with Attachment-Detachment Kinetics In: Journal of Computational Physics 194 (2004 ), S. 409-434 ISSN: 0021-9991 DOI: 10.1016/j.jcp.2003.09.029 BibTeX: Download
Bänsch E. , Morin P. , Nochetto R. :Finite Element Methods for Surface Diffusion Conference on Free Boundary Problems (Trento )In: Free Boundary Problems: Theory and Applications , Basel : 2004 BibTeX: Download
Bänsch E. , Morin P. , Nochetto R. :Surface Diffusion of Graphs: Variational Formulation, Error Analysis, and Simulation In: SIAM Journal on Numerical Analysis 42 (2004 ), S. 773-799 ISSN: 0036-1429 DOI: 10.1137/S0036142902419272 BibTeX: Download
Fried M. :A Level Set Based Finite Element Algorithm for the Simulation of Dendritic Growth In: Computing and Visualization in Science 7 (2004 ), S. 97-110 ISSN: 1432-9360 DOI: 10.1007/s00791-004-0141-4 BibTeX: Download
Krahl R. , Adamov M. , Lozano Avilés M. , Bänsch E. :A model for two phase flow with evaporation 3rd International Symposium on Two-Phase Flow Modelling and Experimentation (Pisa , 22-09-2004 - 24-09-2004 )In: Proceedings of 3rd International Symposium on Two-Phase Flow Modelling and Experimentation 2004 BibTeX: Download
Marheineke N. :Modified FEM for fibre-fluid interactions In: A. D. Fitt, A. Buikis, R. Ciegis (Hrsg.): Progress in Industrial Mathematics at ECMI 2002 , Springer , 2004 , S. 81-90 BibTeX: Download
Neuß N. , Wieners C. :Criteria for the approximation property for multigrid methods in nonnested spaces In: Mathematics of Computation 73 (2004 ), S. 1583-1600 ISSN: 0025-5718 DOI: 10.1090/S0025-5718-04-01628-X BibTeX: Download
2003
Boschert S. , Schmidt A. , Siebert KG. , Bänsch E. , Benz KW. , Dziuk G. , Kaiser T. :Simulation of Industrial Crystal Growth by the Vertical Bridgman Method In: Willi Jäger, Hans-Joachim Krebs (Hrsg.): Mathematics - Key Technology for the Future , Berlin : Springer , 2003 , S. 331-342 ISBN: 3-540-44220-0 DOI: 10.1007/978-3-642-55753-8_26 BibTeX: Download
Bänsch E. (Hrsg.):Challenges in Scientific Computing - CISC 2002 Berlin : 2003 (Lecture Notes in Computational Science and Engineering, Bd. 35)ISBN: 978-3-540-40887-1 URL: http://www.springer.com/dal/home/?SGWID=1-40356-22-12701795-0 BibTeX: Download
Fried M. :Image segmentation using adaptive finite elements. (2003 ) BibTeX: Download (Working Paper)
Marheineke N. :Mesh-less method for homogeneous handling of fiber-fluid interactions In: K.J. Bathe (Hrsg.): Computational Fluid and Solid Mechanics , Elsevier Inc. , 2003 , S. 2067-2070 ISBN: 9780080440460 DOI: 10.1016/B978-008044046-0.50507-8 BibTeX: Download
Neuß N. :On using Common Lisp in scientific computing In: Proceedings of the CISC 2002 2003 DOI: 10.1007/978-3-642-19014-8_11 BibTeX: Download
2002
Bause M. , Knabner P. :Uniform error analysis for Lagrange-Galerkin approximations of convection-dominated problems In: SIAM Journal on Numerical Analysis 39 (2002 ), S. 1954-1984 ISSN: 0036-1429 DOI: 10.1137/S0036142900367478 URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2002/2002_BauseKn_UniformErrAnalysisForLangrGalerkinApproxOfConveDominaProb BibTeX: Download
Bänsch E. , Davis D. :An Operator-Splitting Finite-Element Approach to an 8:1 Thermal Cavity Problem In: International Journal For Numerical Methods in Fluids 40 (2002 ), S. 1019-1030 ISSN: 0271-2091 DOI: 10.1002/fld.388 BibTeX: Download
Bänsch E. , Morin P. , Nochetto R. :An Adaptive Uzawa FEM for the Stokes Problem: Convergence without the Inf-Sup Condition In: SIAM Journal on Numerical Analysis 40 (2002 ), S. 1207-1229 ISSN: 0036-1429 DOI: 10.1137/S0036142901392134 BibTeX: Download
Neuß N. :A new sparse matrix storage method for adaptive solving of large systems of reaction-diffusion-transport equations In: Computing 68,1 (2002 ), S. 19--36 ISSN: 0010-485X DOI: 10.1007/978-3-642-60185-9_19 BibTeX: Download
Neuß N. :Multigrid and homogenisation In: Deconinck H (Hrsg.): 32nd Computational Fluid Dynamics---Multiscale Methods , Belgium : von Karman Institute , 2002 (Lecture Series, Bd.2002-06) BibTeX: Download
Neuß N. , Eberhard J. , Attinger S. :Filtering procedures for flow in heterogeneous porous media: numerical results In: Computing and Visualization in Science 5 (2002 ), S. 67--72 ISSN: 1432-9360 DOI: 10.1007/s00791-002-0088-2 BibTeX: Download
Radu AF. , Bause M. , Knabner P. , Lee G. , Friess W. :Modeling of Drug Release From Collagen Matrices In: Journal of Pharmaceutical Sciences 91 (2002 ), S. 964-972 ISSN: 0022-3549 DOI: 10.1002/jps.10098 URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2002/2002_RaduBauseKnLeeFriess_ModelingOfDrugReleaseFromCollagenMatrices BibTeX: Download
2001
Bänsch E. :Finite Element Discretization of the Navier-Stokes Equations with a Free Capillary Surface In: Numerische Mathematik 88 (2001 ), S. 203-235 ISSN: 0029-599X DOI: 10.1007/PL00005443 BibTeX: Download
Bänsch E. , Mikula K. :Adaptivity in 3D Image Processing In: Computing and Visualization in Science 4 (2001 ), S. 21-30 ISSN: 1432-9360 DOI: 10.1007/s007910100053 BibTeX: Download
Fried M. , Veeser A. :Simulation and Numerical Analysis of Dendritic Growth In: Bernold Fiedler (Hrsg.): Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems , Berlin, Heidelberg : Springer Berlin Heidelberg , 2001 , S. 225 - 252 ISBN: 978-3-642-56589-2 DOI: 10.1007/978-3-642-56589-2_10 BibTeX: Download
Jäger W. , Mikelic A. , Neuß N. :Asymptotic analysis of the laminar viscous flow over a porous bed In: SIAM Journal on Computing 22,6 (2001 ), S. 2006--2028 ISSN: 0097-5397 DOI: 10.1137/S1064827599360339 BibTeX: Download
Marheineke N. :Modified FEM for Fibre-Fluid Interactions (Diplomarbeit, 2001 ) BibTeX: Download
Neuß N. , Jäger W. , Wittum G. :Homogenization and Multigrid In: Computing 66 (2001 ), S. 1--26 ISSN: 0010-485X DOI: 10.1007/s006070170036 BibTeX: Download
2000
Bänsch E. , Höhn B. :Numerical Treatment of the Navier-Stokes Equations with Slip Boudary Condition In: SIAM Journal on Scientific Computing 21 (2000 ), S. 2144-2162 ISSN: 1064-8275 DOI: 10.1137/S1064827598343991 BibTeX: Download
Bänsch E. , Meincke O. , Egbers C. , Scurtu N. :Taylor-Couette System with Asymmetric Boundary Conditions 11th International Couette-Taylor Workshop (Bremen )In: Physics of Rotating Fluids , Berlin : 2000 BibTeX: Download
Bänsch E. , Schmidt A. :Simulation of Dendritic Crystal Growth with Thermal Convection In: Interfaces and Free Boundaries 2 (2000 ), S. 95-115 ISSN: 1463-9963 URL: http://www.ems-ph.org/journals/show_abstract.php?issn=1463-9963&vol=2&iss=1&rank=4 BibTeX: Download
Hoeg S., Neuss N., Schöler H.F., Warnatz J., Jäger W.:Detailed modeling of soil vapor extraction systems In: Proceedings of the CMWR XIII , Alberta, Canada : 2000 BibTeX: Download
1999
Bänsch E. , Deckelnick K. :Optimal Error Estimates for the Stokes and Navier-Stokes Equations with Slip-Boundary Condition In: Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique 33 (1999 ), S. 923-938 ISSN: 0764-583X DOI: 10.1051/m2an:1999126 BibTeX: Download
Bänsch E. , Höhn B. :Numerical Simulation of a Silicon Floating Zone with a Free Capillary Surface In: Keil, F., Mackens, W., Voß, H., Werther, J. (Hrsg.): Scientific Computing in Chemical Engineering II , Berlin : Springer , 1999 , S. 328-335 ISBN: 3-540-65848-3 BibTeX: Download
1998
Bänsch E. :Numerical methods for the instationary Navier-Stokes equations with a free capillary surface (Habilitationsschrift, 1998 ) BibTeX: Download
Bänsch E. :Simulation of Instationary, Incompressible Flows In: Acta Mathematica Universitatis Comenianae 67 (1998 ), S. 101-114 ISSN: 0862-9544 URL: http://www.emis.de/journals/AMUC/_vol-67/_no_1/_baensch/baensch.html BibTeX: Download
Bänsch E. , Dörfler W. :Adaptive Finite Elements for Exterior Domain Problems In: Numerische Mathematik 80 (1998 ), S. 497-523 ISSN: 0029-599X DOI: 10.1007/s002110050376 BibTeX: Download
Bänsch E. , Olmes A. , Brand M. , Raible M. , Lubatschowski H. , Ertmer W. , Dziuk G. :Modeling and Numerical Simulation of the Infrared Photoablation Process In: Laser-Tissue Interaction, Tissue Optics, and Laser Welding III , Bellingham : 1998 DOI: 10.1117/12.297904 BibTeX: Download
Neuß N. :V-Cycle Convergence with Unsymmetric Smoothers and Application to an Anisotropic Model Problem In: SIAM Journal on Numerical Analysis 35 (1998 ), S. 1201--1212 ISSN: 0036-1429 DOI: 10.1137/S0036142996310848 BibTeX: Download
1997
Bastian P. , Birken K. , Johannsen K. , Lang S. , Neuß N. , Rentz-Reichert H. , Wieners C. :UG -- A flexible software toolbox for solving partial differential equations In: Computing and Visualization in Science 1 (1997 ), S. 27--40 ISSN: 1432-9360 DOI: 10.1007/s007910050003 BibTeX: Download
Bänsch E. , Mikula K. :A Coarsening Finite Element Strategy in Image Selective Smoothing In: Computing and Visualization in Science 1 (1997 ), S. 53-61 ISSN: 1432-9360 DOI: 10.1007/s007910050005 BibTeX: Download
Bänsch E. , Olmes A. , Franke HG. , Lubatschowski H. , Raible M. , Dziuk G. , Ertmer W. :Modelling of Infrared Soft-Tissue Photoablation Process In: Applied Physics B-Lasers and Optics 65 (1997 ), S. 659-666 ISSN: 0946-2171 DOI: 10.1007/s003400050328 BibTeX: Download