{"id":276,"date":"2018-05-14T09:21:39","date_gmt":"2018-05-14T07:21:39","guid":{"rendered":"https:\/\/www.hsu-hh.de\/mbm\/?page_id=276"},"modified":"2025-12-03T16:24:43","modified_gmt":"2025-12-03T15:24:43","slug":"activities","status":"publish","type":"page","link":"https:\/\/www.hsu-hh.de\/mbm\/research\/activities","title":{"rendered":"Publikationen &#8211; Aktuelles"},"content":{"rendered":"<h3>Selected Publications<\/h3>\n<h3>in 2025<\/h3>\n<ul>\n<li>N. Margenberg, M. Bause, P. Munch, <em>An hp multigrid approach for tensor-product space-time finite element discretizations of the Stokes equations<\/em>, \u00a0SIAM J. Sci. Comput.,\u00a0 <strong>47<\/strong> (2025), pp. 1503-1529, doi: 10.1137\/25M1734142<\/li>\n<li>M. Bause, M. Bruchh\u00e4user, B. Endtmayer, N. Margenberg, I. Toloupolous, T. Wick, <em>Anisotropic space-time goal-oriented error control and mesh adaptivity for convection-diffusion-reaction equations<\/em>, J. Numer. Math., <strong>accepted<\/strong> (2025), pp. 1-35, <a href=\"https:\/\/arxiv.org\/abs\/2504.04951\" rel='nofollow'>arXiv:2504.04951<\/a><\/li>\n<li>M. Anselmann, M. Bause, G. Matthies, F. Schieweck, <em>Optimal pressure approximation for the nonstationary Stokes problem by a variational method in time with post-processing<\/em>, IMA J. Numer. Anal., <strong>under review<\/strong> (2025), pp. 1\u201327; <a href=\"https:\/\/arxiv.org\/abs\/2505.06933\" rel='nofollow'>arXiv:2505.06933<\/a><\/li>\n<li>P. Shamko, M. Anselmann, M. Bause, <em>Numerical study of discontinuous Galerkin approximations to the first-order evolutionary form of the wave equation<\/em>, in Lirkov, Margenov (eds.), Large-Scale Scientific Computing, Lect. Notes Comput. Sci.,<strong> accepted<\/strong>, Springer, Cham, 2025, 8 pages.<\/li>\n<li>J. S. Stokke, M. Bause, F. A. Radu, <em>Convergence of a continuous Galerkin method for the Biot-Allard poroelasticity system<\/em>, Numer. Math., <strong>under review<\/strong> (2025), pp. 119; <a href=\"https:\/\/arxiv.org\/abs\/2504.06763\" rel='nofollow'>arXiv:2504.06763<\/a>.<\/li>\n<li>M. Bause, M. Bruchh\u00e4user, B. Endtmayer, N. Margenberg, I. Toulopoulos, T. Wick, <em>Anisotropic space-time goal-oriented error control and mesh adaptivity for convection-diffusion-reaction equations<\/em>, J. Numer. Math., <strong>under review<\/strong> (2025), pp. 131; <a href=\"https:\/\/arxiv.org\/abs\/2504.04951\" rel='nofollow'>arXiv:2504.04951<\/a>.<\/li>\n<li>N. Margenberg, P. Munch, M. Bause, <em>An hp multigrid approach for tensor-product space-time finite element discretizations of the Stokes equations<\/em>, SIAM J. Sci. Comput., <strong>under review<\/strong> (2025), pp. 1\u201323; <a href=\"https:\/\/arxiv.org\/abs\/2502.09159\" rel='nofollow'>arXiv:2502.09159<\/a>.<\/li>\n<li>O. Mamun, M. Bause, B. S. M. Ebna Hai, <em>Accelerated Development of Multicomponent Alloys in Discrete Design Space Using Bayesian Multi-Objective Optimisation<\/em>, Mach. Learn.: Sci. Technol., <strong>6<\/strong> (2025), 015001, 16 pages; doi: <a href=\"https:\/\/iopscience.iop.org\/article\/10.1088\/2632-2153\/ada47d\" rel='nofollow'>10.1088\/2632-2153\/ada47d<\/a>.<\/li>\n<li>M. Bause, S. Franz, M. Anselmann, <em>Structure preserving discontinuous Galerkin approximation of a hyperbolic-parabolic system<\/em>, Electron. Trans. Numer. Anal., <strong>63<\/strong> (2025), pp. 1-32; <a href=\"https:\/\/etna.math.kent.edu\/volumes\/2021-2030\/vol63\/abstract.php?pages=1-32\" rel='nofollow'>doi: 10.1553\/etna vol63s1<\/a>.<\/li>\n<\/ul>\n<h3>in 2024<\/h3>\n<ul>\n<li>N. Margenberg, M. Bause, <em>Well-posedness and exponential stability of dispersive nonlinear Maxwell equations with PML: An evolutionary approach<\/em>, Math. Models Methods Appl. Sci., <strong>submitted<\/strong> (2024), 28 pages; <a href=\"https:\/\/arxiv.org\/abs\/2412.05468\" rel='nofollow'>arXiv:2412.05468<\/a>.<\/li>\n<li>J. S. Stokke, M. Bause, N. Margenberg, F. A. Radu, <em>The Biot-Allard poro-elasticity system: equivalent forms and well-posedness<\/em>, Appl. Math. Lett., <strong>158<\/strong> (2024), 109224, 6 pages; <a href=\"https:\/\/doi.org\/10.1016\/j.aml.2024.109224\" rel='nofollow'>doi: 10.1016\/j.aml.2024.109224<\/a>.<\/li>\n<li>N. Margenberg, R. Jendersie, C. Lessig, T. Richter,<em> DNN-MG: A hybrid neural network\/finite element method with applications to 3D simulations of the Navier\u2013Stokes equations<\/em>, 2024, Comput. Methods Appl. Mech. Engrg. 420, 116692.<a href=\"https:\/\/doi.org\/10.1016\/j.cma.2023.116692\" target=\"_blank\" rel=\"noopener noreferrer\"> https:\/\/doi.org\/10.1016\/j.cma.2023.116692<\/a>.<\/li>\n<li>M. Anselmann, M. Bause, N. Margenberg, P. Shamko, <em>An energy-efficient GMRES-Multigrid solver for space-time nite element computation of dynamic poroelasticity<\/em>, Comput. Mech., <b>74<\/b> (2024), pp. 889-912; <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00466-024-02460-w\" rel='nofollow'>doi: 10.1007\/s00466-024-02460-w<\/a>.<\/li>\n<li>M. Bause, M. Anselmann, U. K\u00f6cher, F. A. Radu, <em>Convergence of a continuous Galerkin method for hyperbolic-parabolic systems, <\/em>Comput. Math. with Appl., <strong>158<\/strong> (2024), pp. 118-138; <a href=\"https:\/\/doi.org\/10.48550\/arXiv.2303.06742\" rel='nofollow'>doi: 10.1016\/j.camwa.2024.01.014<\/a>.<\/li>\n<li>N. Margenberg, F. X. K\u00e4rtner, M. Bause, <em>Optimal Dirichlet Boundary Control by Fourier Neural Operators Applied to Nonlinear Optics<\/em>, J. Comput. Phys., <strong>499<\/strong> (2024), 112725, 28 pages, doi: <a href=\"https:\/\/doi.org\/10.1016\/j.jcp.2023.112725.\" rel='nofollow'>https:\/\/doi.org\/10.1016\/j.jcp.2023.112725<\/a>; <a href=\"https:\/\/arxiv.org\/abs\/2307.07292\" rel='nofollow'>arXiv:2307.07292<\/a>.<\/li>\n<li>M. Bause, M. Anselmann, <em>Optimal order FEM for dynamic poroelasticity: Error analysis for equal order elements<\/em>, in A. Sequeira et al. (eds.), <em>Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1<\/em>, Lect. Notes Comput. Sci. Eng., Springer, Cham, 2025, pp. 119-128; doi: 10.1007\/978-3-031-86173-4.<\/li>\n<li>M. P. Bruchh\u00e4user, M. Bause, <em>Numerical study of approximation techniques for the tem<\/em><em>poral weights to the DWR method<\/em>, in A. Sequeira et al. (eds.), <em>Numerical Mathematics <\/em><em>and Advanced Applications ENUMATH 2023, Volume 1<\/em>, Lect. Notes Comput. Sci. Eng., Springer, Cham, 2025, pp. 177-187; doi: 10.1007\/978-3-031-86173-4.<\/li>\n<li>N. Margenberg, M. Anselmann, M. Bause, R. Jendersie, C. Lessig, T. Richter, <em>Benchmark of hybrid finite element\/deep neural network methods<\/em>, in A. Sequeira et al. (eds.), <em>Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 2, <\/em>Lect. Notes Comput. Sci. Eng., Springer, Cham, 2025; doi: 10.1007\/978-3-031-86169-7.<\/li>\n<\/ul>\n<h3>in 2023<\/h3>\n<ul>\n<li>M. Bause, S. Franz, <em>Structure preserving discontinuous Galerkin approximation of a hyperbolic-parabolic system<\/em>, Electron. Trans. Numer. Anal., <strong>submitted<\/strong> (2023), pp. 1-24; <a href=\"https:\/\/arxiv.org\/abs\/2311.01264\" rel='nofollow'>arXiv:2311.01264<\/a>.<\/li>\n<li>M. Anselmann, M. Bause, N. Margenberg, P. Shamko, <em>Benchmark computations of dynamic poroelasticity<\/em>, Proc. Appl. Math. Mech., <strong>23<\/strong> (2023), e202300096, 8 pages; <a href=\"https:\/\/doi.org\/10.1002\/pamm.202300096\" rel='nofollow'>doi: 10.1002\/pamm.202300096<\/a>.<\/li>\n<li>M. Anselmann, M. Bause, <em>A geometric multigrid method for space-time finite element discretizations of the Navier-Stokes equations and its application to 3d flow simulation<\/em>, ACM Trans. Math. Softw., <strong>49<\/strong> (2023), Article No.: 5, pp. 1-25, <a href=\"https:\/\/doi.org\/10.1145\/3582492\" rel='nofollow'>https:\/\/doi.org\/10.1145\/3582492<\/a>; <a href=\"https:\/\/arxiv.org\/abs\/2107.10561\" rel='nofollow'>arXiv:2107.10561<\/a>.<\/li>\n<li>M. P. Bruchh\u00e4user, M. Bause, <em>A cost-efficient space-time adaptive algorithm for coupled\u00a0 <\/em><em>flow and transport<\/em>, J. Comput. Methods Appl. Math., <strong>23<\/strong> (2023), pp. 849-875, <a href=\"https:\/\/doi.org\/10.1515\/cmam-2022-0245\" rel='nofollow'>https:\/\/doi.org\/10.1515\/cmam-2022-0245<\/a>; <a href=\"https:\/\/arxiv.org\/abs\/2212.02954\" rel='nofollow'>arXiv:2212.02954<\/a>.<\/li>\n<li>N. Margenberg, Franz X. K\u00e4rtner, M. Bause, <em>Accurate simulation of THz generation <\/em><em>with Finite-Element Time Domain methods<\/em>, Opt. Express, <strong>31 <\/strong>(2023), pp. 25915-25932, <a href=\"https:\/\/doi.org\/10.1364\/OE.480793\" rel='nofollow'>https:\/\/doi.org\/10.1364\/OE.480793<\/a>.<\/li>\n<\/ul>\n<h3>in 2022<\/h3>\n<ul>\n<li>M. P. Bruchh\u00e4user, U. K\u00f6cher, M. Bause, <em>On the implementation of an adaptive multirate framework for coupled transport and flow<\/em>, J. Sci. Comput. <strong>93:59<\/strong> (2022), 29 pages; <a href=\"https:\/\/doi.org\/10.1007\/s10915-022-02026-z\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.1007\/s10915-022-02026-z<\/a>.<\/li>\n<li>M. Anselmann, M. Bause, <em>CutFEM and ghost stabilization techniques for higher order space-time discretizations of the Navier-Stokes equations,<\/em> Int. J. Numer. Meth. Fluids,\u00a0 <strong>94<\/strong> (2022), pp. 775-802, <a href=\"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/fld.5074?af=R\" rel='nofollow'>doi: 10.1002\/fld.5074<\/a>.<\/li>\n<li>M. Anselmann, M. Bause, <em>Efficiency of local Vanka smoother geometric multigrid preconditioning for space-time finite element methods to the Navier-Stokes equations<\/em>, Proc. Appl. Math. Mech., <strong>22<\/strong> (2022), e202200088, <a href=\"https:\/\/doi.org\/10.1002\/pamm.202200088\" rel='nofollow'>doi: 10.1002\/pamm.202200088<\/a>.<\/li>\n<li>M. Bause, M. Anselmann, <em>Space-time finite element and multigrid methods for the Navier-Stokes equations on evolving and static domains<\/em>, Oberwolfach Report No. 06\/2022, doi: 10.4171\/OWR\/2022\/6, pp. 11-14.<\/li>\n<li>N. Margenberg, D. Hartmann, C. Lessig, T. Richter, <em>A neural network multigrid solver for the Navier-Stokes equations, <\/em>J. Comput. Phys., 2022, <a href=\"https:\/\/doi.org\/10.1016\/j.jcp.2022.110983\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.1016\/j.jcp.2022.110983<\/a>.<\/li>\n<li>N. Margenberg, C. Lessig, T. Richter, <em>Structure preservation for the Deep Neural Network Multigrid Solver<\/em>, Electron. Trans. Numer. Anal., 2022, <a href=\"https:\/\/doi.org\/10.1553\/etna_vol56s86\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.1553\/etna_vol56s86<\/a>.<\/li>\n<li>M. Bause, M. Lymbery, K. Osthues, <em>C1-conforming variational discretization of the bi-harmonic wave equation<\/em>, Comput. Math. with Appl., <strong>119<\/strong> (2022), pp. 208-219.<\/li>\n<li><span dir=\"ltr\" role=\"presentation\">S.<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">De,<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">B.<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">S.<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">M.<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">Ebna<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">Hai,<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">A.<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">Doostan,<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">M.<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">Bause,<\/span>\u00a0<em><span dir=\"ltr\" role=\"presentation\">Prediction<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">of<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">ultrasonic<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">guided<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">wa<\/span><\/em><em><span dir=\"ltr\" role=\"presentation\">ve<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">propagation<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">in<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">solid-fluid<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">and<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">their<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">interface<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">under<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">uncertainty<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">using<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">machine<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">lear<\/span><\/em><em><span dir=\"ltr\" role=\"presentation\">ning<\/span><\/em><span dir=\"ltr\" role=\"presentation\">,<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">J.<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">Eng.<\/span>\u00a0<span dir=\"ltr\" role=\"presentation\">Mech.,<\/span>\u00a0<strong>148<\/strong>\u00a0<span dir=\"ltr\" role=\"presentation\">(2022), 04021161;\u00a0<\/span><span dir=\"ltr\" role=\"presentation\"><a href=\"https:\/\/arxiv.org\/abs\/2105.02813\" rel=\"nofollow\">arXiv:2105.02813<\/a>.<\/span><\/li>\n<\/ul>\n<h3>in 2021<\/h3>\n<ul>\n<li>M. Anselmann, M. Bause, <em>Numerical convergence of discrete extensions in a space-<\/em><em>time finite element, fictitious domain method for the Navier-Stokes equations<\/em>, PAMM Proc. Appl. Math. Mech., <strong>21<\/strong> (2021), <a href=\"https:\/\/onlinelibrary.wiley.com\/doi\/epdf\/10.1002\/pamm.202100011\" rel='nofollow'>e202100011<\/a>, doi:10.1002\/pamm.202100011.<\/li>\n<li>D. Arndt, W. Bangerth, B. Blais, M. Fehling, R. Gassm\u00f6ller, T. Heister, L. Heltai, U. K\u00f6cher, M. Kronbichler, M. Maier, P. Munch, J.-P. Pelteret, S. Proell, K. Simon, B. Turcksin, D. Wells, J. Zhang<em>, The deal.II Library, Version 9.3<\/em>, J. Numer. Math. 29(3): 171-186 (JNUM), 2021 [ preprint ] <a href=\"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/jnma-2021-0081\/pdf\" rel='nofollow'>doi:10.1515\/jnma-2021-0081<\/a>.<\/li>\n<li>M. Anselmann, M. Bause,<em>\u00a0A geometric multigrid method for space-time finite element\u00a0<\/em><em>discretizations of the Navier\u2013Stokes equations and its application to 3d flow simulation<\/em>, Transactions on Mathematical Software, submitted (2021), pp. 1\u201327;\u00a0<a href=\"https:\/\/arxiv.org\/abs\/2107.10561\" rel=\"nofollow\">arXiv:2107.10561<\/a>.<\/li>\n<li>M. Bause, J. W. Both, F. A. Radu,<em> Iterative Coupling for Fully Dynamic Poroelasticity<\/em>, in F. Vermolen et al. (eds.), <em>Numerical Mathematics and Advanced Applications: Proceedings of ENUMATH 2019<\/em>, Lect. Notes Comput. Sci. Eng. 139, Springer, Cham, 2021, pp. 115-124.<\/li>\n<li>M. Bause, M. P. Bruchh\u00e4user, U. K\u00f6cher, <em>Flexible goal-oriented adaptivity for higher-order space-time discretizations of transport problems with coupled flow<\/em>, Comput. Math. with Appl., <strong>91<\/strong> (2021), pp. 17-35.<\/li>\n<li>M. Anselmann, M. Bause, \u00a0<em>Higher order Galerkin-collocation time discretization with Nitsche&#8217;s method for the Navier-Stokes equations<\/em>, \u00a0Math. Comp. Simul.,<strong> 189<\/strong> (2021), pp. 141-162; <a href=\"10.1016\/j.matcom.2020.10.027\" rel='nofollow'>doi:10.1016\/j.matcom.2020.10.027<\/a>.<\/li>\n<\/ul>\n<h3>in 2020<\/h3>\n<ul>\n<li>M. Bause, M. Anselmann, <em>A higher order fictitious domain method for the Navier-Stokes equations<\/em>, PAMM Proc. Appl. Math. Mech., <strong>20<\/strong> (2020), e202000038, doi: 10.1002\/pamm.202000038.<\/li>\n<li>M. Anselmann, M. Bause, <em>Numerical study of Galerkin-collocation approximation in time for the wave equation, <\/em>in W. D\u00f6rfler et al. (eds.), <em>Mathematics of Wave Phenomena<\/em>, <em>Trends in Mathematics<\/em>, Birkh\u00e4user, Cham, 2020, pp. 15-36; <a href=\"10.1007\/978-3-030-47174-3_2\" rel='nofollow'>doi:10.1007\/978-3-030-47174-3_2<\/a>.<\/li>\n<li>M. Anselmann, M. Bause, S. Becher, G. Matthies, <em>Galerkin-collocation approximation in time for the wave equation and its post-processing, <\/em>ESAIM Math. Model. Numer. Anal., <strong>54<\/strong> (2020), p. 2099-2123; <a href=\"http:\/\/arxiv.org\/abs\/1908.08238\" rel='nofollow'>arXiv:1908.08238<\/a>.<\/li>\n<li>M. Bause, U. K\u00f6cher, F. A. Radu, F. Schieweck, <em>Post-processed Galerkin approximation of improved order for wave equations<\/em>, Math. Comp., <strong>89<\/strong> (2020), pp. 595-627; <a href=\"https:\/\/doi.org\/10.1090\/mcom\/3464\" rel='nofollow'>doi:10.1090\/mcom\/3464<\/a>.<\/li>\n<li>M. P. Bruchh\u00e4user, K. Schwegler, M. Bause, <em>Dual weighted residual based error control <\/em><em>for nonstationary convection-dominated equations: potential or ballast?<\/em>, in G. R. Barrenechea, J. Mackenzie (eds.), <em>Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018<\/em>, Lect. Notes Comput. Sci. Eng. 135, Springer, Cham, 2020, pp. 1-17.<\/li>\n<\/ul>\n<h3>in 2019<\/h3>\n<ul>\n<li>Ebna Hai, B.S.M., and Bause, M., <em>Finite Element Modelling of Ultrasonic Guided Waves Propagation in the Fluid-Composite Structure Interaction,<\/em>\u00a0Keynote Lecture in Coupled Problems\/ Multi-field problems in porous media mechanics. In proceedings of: the 8th GACM Colloquium on Computational Mechanics, <abbr title=\"International Standard Book Number\">ISBN<\/abbr>: 978-3-7376-5093-9, pp 319\u2013322, 2019. doi:10.19211\/KUP9783737650939<\/li>\n<li>Ebna Hai, B.S.M., and Bause, M., <em>Modelling and Simulation of Ultrasonic Guided Waves Propagation in the Fluid-Composite Structure Interaction<\/em>. In proceedings of: the 12th International Workshop on Structural Health Monitoring, Sept 10-12, 2019, Stanford University, CA, USA. In: F-K. Chang and F. Kopsaftopoulos (Ed.), <em>Structural Health Monitoring 2019: Enabling Intelligent Life-cycle Health Management for Industry Internet of Things (IIOT)<\/em>. Vol. 2, pp 1963\u20131970, <abbr title=\"International Standard Book Number\">ISBN<\/abbr>: 978-1-60595-601-5, DEStech Publications Inc., USA. 2019. <a href=\"https:\/\/orcid.org\/0000-0002-7747-5536\" rel='nofollow'>doi:10.12783\/shm2019\/32328<\/a>.<\/li>\n<li>B. S. M. Ebna Hai, M. Bause, <em>Numerical study and comparison of alternative time discretization schemes for an ultrasonic guided wave propagation problem coupled with fluidstructure interaction, <\/em>Comput. Math. Appl., <strong>78<\/strong> (2019), pp. 2867-2885.<b><br \/>\n<\/b><\/li>\n<li>B. S. M. Ebna Hai, M. Bause, P. A. Kuberry, <em>Modeling concept and numerical simulation of ultrasonic wave propagation in a moving fluid-structure domain based on a monolithic approach<\/em>, Appl. Math. Model., <strong>75<\/strong> (2019), pp. 916-939.<\/li>\n<li>U. K\u00f6cher, M. P. Bruchh\u00e4user, M. Bause, <em>Efficient and scalable data structures and algorithms for goal-oriented adaptivity of space-time FEM codes<\/em>, SoftwareX, 10 (2019), 1-6, 100239, open access, open source, 2019; <a href=\"https:\/\/arxiv.org\/abs\/1812.08558\" rel='nofollow'>arXiv:1812.08558<\/a>; <a href=\"https:\/\/github.com\/dtm-project\/dwr-diffusion\" rel='nofollow'>code on github:dtm-project\/dwr-diffusion<\/a>; <a href=\"https:\/\/dx.doi.org\/10.1016\/j.softx.2019.100239\" rel='nofollow'>doi:10.1016\/j.softx.2019.100239<\/a>.<\/li>\n<li>M. Bause, M. Anselmann, <em>Comparative study of continuously differentiable Galerkin time discretizations for the wave equation<\/em>, PAMM Proc. Appl. Math. Mech., <strong>19<\/strong> (2019), e201900144, <a href=\"https:\/\/www.researchgate.net\/publication\/337354616_Comparative_study_of_continuously_differentiable_Galerkin_time_discretizations_for_the_wave_equation\" rel='nofollow'>DOI: 10.1002\/pamm.201900144<\/a>.<\/li>\n<li>B. S. M. Ebna Hai, M. Bause, P. A. Kuberry, <em>Modeling and simulation of ultrasonic guided waves propagation in the fluid-structure domain by a monolithic approach<\/em>, J. Fluid Struct., <strong>88<\/strong> (2019), pp. 100-121.<\/li>\n<li>M. P. Bruchh\u00e4user, K. Schwegler, M. Bause, <em>Numerical study of goal- oriented error control for stabilized finite element methods<\/em>, in Th. Apel et al. (eds.), <em>Advanced Finite Element Methods with Applications: Selected Papers from the 30th Chemnitz Finite Element Symposium 2017<\/em>, Lecture Notes in Comput. Sci. Eng., vol. 128, Springer, Cham, pp. 81-101 (2019); <a href=\"https:\/\/link.springer.com\/chapter\/10.1007\/978-3-030-14244-5_5\" rel='nofollow'>DOI: 10.1007\/978-3-030-14244-5_5<\/a>.<\/li>\n<li>M. Bause, <em>Iterative coupling of mixed and discontinuous Galerkin methods for poroelasticity<\/em>, in F. Radu et al. (<abbr title=\"Herausgeber\">Hrsg.<\/abbr>),\u00a0 Numerical Mathematics and Advanced Applications, Lecture Notes in Comput. Sci. Eng. 126, Springer, Cham, 2019, pp. 551-560.<\/li>\n<li>U. K\u00f6cher, <em>Influence of the SIPG penalisation on the numerical properties of linear systems for elastic wave propagation<\/em>, in F. A. Radu et al. (eds.), Numerical Mathematics and Advanced Applications, Lecture Notes in Comput. Sci. Eng. 126, Springer, Cham, 2019, pp. 215-223; <a href=\"https:\/\/arxiv.org\/abs\/1712.05594\" rel='nofollow'>arXiv:1712.05594<\/a>.<\/li>\n<li>M. P. Bruchh\u00e4user, K. Schwegler, M. Bause, <em>Dual weighted residual based\u00a0 error control for nonstationary convection-dominated equations: potential or ballast?, <\/em>in G. R. Barrenechea, J. Mackenzie (eds.), <em>Boundary and Interior Layers,<\/em> Computational and Asymptotic Methods BAIL 2018, Lecture Notes in Comput. Sci. Eng., vol. 135, Springer, Cham (2020); <a href=\"https:\/\/arxiv.org\/abs\/1812.06810\" rel='nofollow'>arXiv: 1812.06810<\/a>.<\/li>\n<li>J. Both, U. K\u00f6cher,\u00a0<em>Numerical investigation on the fixed-stress splitting scheme for Biot\u2019s equations: Optimality of the tuning parameter<\/em>, in F. A. Radu et al. (eds.), Numerical Mathematics and Advanced Applications, Lecture Notes in Comput. Sci. Eng. 126, Springer, Cham, pp. 789-797;\u00a0<a href=\"https:\/\/arxiv.org\/abs\/1801.08352\" rel=\"nofollow\">arXiv:1801.08352<\/a>.<\/li>\n<\/ul>\n<h3>in 2018<\/h3>\n<ul>\n<li>U. K\u00f6cher, M. Bause, <em>A mixed discontinuous-continuous Galerkin times dis<\/em><em>cretisation for Biot\u2019s system<\/em>, 2018, pp. 1\u201319; <a href=\"https:\/\/arxiv.org\/abs\/1805.00771\" rel='nofollow'>arXiv:1805.00771<\/a>.<\/li>\n<\/ul>\n<h3>in 2017<\/h3>\n<ul>\n<li>M. Bause, R. Radu, U. K\u00f6cher, <em>Space-time finite element approximation of the Biot poroelasticity system with iterative coupling<\/em>, Comput. Meth. Appl. Mech. Engrg., 320 (2017), pp. 745\u2013768<\/li>\n<li>M. Bause, F. A. Radu, U. K\u00f6cher, <em>Error analysis for discretizations of parabolic problems using continuous finite elements in time and mixed finite elements in space<\/em>, Numer. Math. 137 (2017), pp. 773\u2013818<\/li>\n<li>B. S. M. Ebna Hai, <em>Finite Element Approximation of Ultrasonic Wave Propagation under Fluid-Structure Interaction for Structural Health Monitoring Systems<\/em>, PhD Thesis, Department of Mechanical Engineering, Helmut Schmidt University Hamburg \u2013 University of the Federal Armed Forces Hamburg, pp. 1\u2013201 (2017), http:\/\/edoc.sub.uni-hamburg.de\/hsu\/volltexte\/2017\/3182\/,<a href=\"https:\/\/openhsu.ub.hsu-hh.de\/handle\/10.24405\/4306\" rel='nofollow'> doi:10.24405\/4306<\/a><strong><br \/>\n<\/strong><\/li>\n<\/ul>\n<h3>vor 2017<\/h3>\n<ul>\n<li>M. Bause, U. K\u00f6cher, <em>Iterative coupling of variational space-time methods for Biot&#8217;s system of poroelasticity<\/em>, in B. Karas\u00f6zen et al. (eds.), <em>Numerical Mathematics and Advanced Applications ENUMATH 2015<\/em>, Springer, Cham, 2016, pp. 143-151<\/li>\n<li>M. Bause, U. K\u00f6cher, <em>Variational time discretization for mixed finite element approximations of nonstationary diffusion problems<\/em>, Journal of Computational and Applied Mathematics, 289 (2015), pp. 208-224<\/li>\n<li>U. K\u00f6cher, M. Bause, <em>Variational space-time methods for the wave equation<\/em>, Journal of Scientific Computing, 61 (2014), pp. 424-453<\/li>\n<li>E. B\u00e4nsch, M. Bause, A. Brenner, <em>A-priori error analysis for finite element approximations of Stokes problem on dynamic meshes<\/em>, IMA J. Numer. Anal., 34 (2014), pp. 123-146<\/li>\n<li>M. Bause, S. Schwegler, <em>Higher order finite element approximation of multicomponent reactive transport with small<\/em> <em>diffusion<\/em>, J. Comput. Appl. Math., 246 (2013), pp. 52-64<\/li>\n<li>M. Bause, F. Brunner, P. Knabner, F. Radu, <em>An improved optimal order mixed finite element method for semilinear transport problems<\/em>, Numerical Mathematics and Advanced Applications, A. Cangiani et al. (<abbr title=\"Herausgeber\">Hrsg.<\/abbr>), Springer, Berlin (2013), pp. 247-256<\/li>\n<li>M. Bause, S. Schwegler, <em>Analysis of stabilized higher-order finite element approximation of nonstationary and nonlinear convection-diffusion-reaction equations<\/em>, Comput. Methods Appl. Mech. Engrg., 209-212 (2012), pp. 184-196<\/li>\n<li>F. Brunner, F. Radu, M. Bause, P. Knabner, <em>Optimal order convergence of a modified BDM mixed finite element scheme for reactive transport in porous media, <\/em>Advances in Water Resources, 35 (2012), pp. 163-171<\/li>\n<li>M. Bause, J. Hoffmann, P. Knabner, <em>First-order convergence of multi point flux approximation on triangular grids and comparison with Mixed Finite Element Methods<\/em>, Numer. Math., 116 (2010), pp.- 1-29<\/li>\n<li>M. Bause, <em>Performance of stabilized higher-order methods for non-stationary convection-diffusion-reaction equations, <\/em>in C. Clavero et al. (eds.), <em>BAIL 2010 &#8211; Boundary and Interior Layers, Computational and Asymtotic Methods, <\/em>Springer, Berlin, 2010, pp. 11-20<\/li>\n<li>M. Bause, <em>Stabilized finite element methods with shock-capturing for nonlinear convection-diffusion-reaction models, <\/em>in G. Kreiss et al. (eds.), <em>Numerical Mathematics and Advanced Applications ENUMATH 2009, <\/em>Springer, Berlin, 2010, pp. 125-134<\/li>\n<li>F. Radu, M. Bause, P. Knabner, W. Friess, I. Metzmacher, <em>Numerical simulation of drug release from collagen matrices by enzymatic degradation, <\/em>Computing and Visualization in Science, 12 (2009), pp. 409-420<\/li>\n<li>M. Bause, J. Hoffmann, <em>Numerical study of mixed finite element and multipoint flux approximation of flow in porous media, <\/em>in K. Kunisch et al. (eds.), <em>Numerical Mathematics and Advanced Applications ENUMATH 2007, <\/em>Springer, Berlin, 2008, pp. 433-440<\/li>\n<li>F. Radu, M. Bause, A. Prechtel und S. Attinger, <em> A mixed bybrid finite element discretization scheme for reactive transport in porous media, <\/em>in K. Kunisch, et al. (eds.), <em>Numerical Mathematics and Advanced Applications ENUMATH 2007, <\/em>Springer, Berlin, 2008, pp. 513-520<\/li>\n<li>M. Bause, <em>Higher and lowest order mixed finite element methods for subsurface flow problems with solutions of weak regularity, <\/em>Advances in Water Resources, 31 (2008), pp. 370-382<\/li>\n<li>I. Metzmacher, F. Radu, M. Bause, P. Knabner, W. Friess, <em>A model describing the effect of enzymatic degradation on drug release from collagen minirods, <\/em>European Journal of Pharmaceutics and Biopharmaceutics, 67 (2007), pp. 349-360<\/li>\n<li>M. Bause, W. Merz, <em>Modeling, analysis and simulation of bioreactive multicomponent transport, <\/em>in I. Figueiredo (eds.),<em> Free Boundary Problems: Theory and Applications,<\/em> Birkh\u00e4user, Basel, 2006, pp. 65-74<\/li>\n<li>M. Bause, <em>On optimum convergence rates for higher order Navier-Stokes approximations, Part I: Error estimates for the spatial discretization, <\/em>IMA Journal of Numerical Analysis, 25 (2005), 812-841<\/li>\n<li>M. Bause, W. Merz, <em>Higher Order regularity and approximation schemes for the monod model of biodegradation, <\/em>Applied Numerical Mathematics, 55 (2005), pp. 154-172<\/li>\n<li>S. Kr\u00e4utle, M. Bause, A. Prechtel, F. Radu, P. Knabner, ParRichy: <em>Parallel simulation of bioreactive multicomponent transport processes in porous media, <\/em>in A. Bode, F. Durst (eds.), <em>High Performance Computing in Science and Engineering, <\/em>Springer, Berlin, 2005, pp. 181-192<\/li>\n<li>M. Bause, P. Knabner, <em>Numerical simulation of contaminant biodegradation by higher order methods and adaptive time stepping, <\/em>Computing and Visualization in Science, 7 (2004), pp. 61-78<\/li>\n<li>M. Bause, P. Knabner, <em>Computation of variably saturated subsurface flow by adaptive mixed hybrid finite element methods, <\/em>Advances in Water Resources, 27 (2004), pp. 565-581<\/li>\n<li>M. Bause, P. Knabner, <em>On uniform convergence rates for Eulerian and Lagrangian finite element approximations of convection-dominated diffusion problems, <\/em>CALCOLO, 41 (2004), p. 1-26<\/li>\n<li>M. Bause, <em>Computational study of field-scale BTEX transport and biodegradation in the subsurface, <\/em>in M. Feistauer et al. (eds.), <em>Numerical Mathematics and Advanced Applications ENUMATH 2003, <\/em>Springer, Berlin, 2004, pp. 112-122<\/li>\n<li>M. Bause, <em>SUPG and grad-div stabilized finite element methods for steady weakly compressible viscous flow, <\/em>PAMM Proc. Appl. Math. Mech., 4 (2004), pp. 696-697<\/li>\n<li>M. Bause, J. Heywood, A. Novotny, M. Padula, <em>On some approximation schemes for steady compressible viscous flow, <\/em>Journal of Mathematical Fluid Mechanics, 5 (2003), pp. 201-230<\/li>\n<li>M. Bause, P. Knabner, <em>Uniform error analysis for Lagrange- Galerkin approximations of convection-dominated problems, <\/em>SIAM Journal on Numerical Analysis, 39 (2002), pp. 1954-1984<\/li>\n<li>F. Radu, M. Bause, P. Knabner, G. Lee, W. Friess, <em>Modeling of drug release from collagen matrices, <\/em>Journal of Pharmaceutical Sciences, 91 (2002), pp. 964-972<\/li>\n<li>M. Bause, J. Heywood, A. Novotny, M. Padula, <em>An iterative scheme for steady compressible viscous flow, modified to treat large potential<\/em> forces, in J. Neustupa, P. Penel (eds.), <em>Mathematical Fluid Mechanics: Recent Results and Open Questions, <\/em>Birkh\u00e4user, Basel, 2001, pp. 27-45<\/li>\n<li>M. Bause, <em>Scales of \u0190-uniform a priori estimates for nonstationary convection-dominated diffusion problems, <\/em>Annali dell&#8217;Universit\u00e0 di Ferrara, Scienze Matematiche, 46 (2000), pp. 115-137<\/li>\n<li>M. Bause, <em>On fractional powers of the Stokes operator in Lipschitz domains, <\/em>R. Salvi (ed.), <em>The Navier-Stokes Equations: Theory and Numerical Methods, <\/em>Pitman Research Notes in Mathematics, Series 388, Longman, Harlow, 1998, pp. 152-159<\/li>\n<li>G. Judakova, M. Bause, <em>Numerical investigation of multiphase flow in pipelines, <\/em>International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering, 11(9) (2017), pp. 1493-1499.<\/li>\n<\/ul>\n<h3>Selected Talks<\/h3>\n<h3>in 2018<\/h3>\n<ul>\n<li>M. Bause: Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach Workshop, Reactive Flows in Deformable, Complex Media, <em>Tba<\/em><\/li>\n<li>M. Bause: KIT, Karlsruhe, <em>Conference on Mathematics of Wave Phenomena, Post-processed Galerkin approximation of improved order for wave equations<\/em><\/li>\n<li>M. Bause: Glasgow (Scotland), 6th European Conference on Computational Mechanics (Solids, Structures and Coupled Problems) (ECCM 6) 7th European Conference on Computational Fluid Dynamics (ECFD 7), <em>On the approximation of the fully dynamic system of flow in deformable porous media<\/em><\/li>\n<li>M. Bause: Leiden (The Netherlands), Lorentz Center Workshop, The Computational Mathematics Aspects of Porous Media, and Fluid Flow, <em>On some aspects of the approximation of Biot\u2019s system of poroelasticity<\/em><\/li>\n<li>M. Bause: Lofthus Hardanger (Norway), Workshop on Adaptive model and solver computations for multiphase flow in porous media, <em>Post-processing in variational time discretization for adaptive time step and goal-oriented error control<\/em><\/li>\n<li>M. Bause: <abbr title=\"Technische Universit\u00e4t\">TU<\/abbr> Dresden, Dresdner Mathematisches Seminar, <em>Space-time finite element approximation of wave phenomena: Post-processing, error analysis and applications<\/em><\/li>\n<li>M. P. Bruchh\u00e4user: Glasgow (Scotland), International Conference on Boundary and Interior Layers (BAIL 2018), <em>Goal-oriented Error Control for Stabilized Approximations of Convection-dominated Problems <\/em><\/li>\n<li>M. P. Bruchh\u00e4user: Prague (Czech Republic), International Conference Application of Mathematics 2018, <em>Goal-oriented Error Control for Stabilized Finite Element Methods<\/em><\/li>\n<li>M. P. Bruchh\u00e4user: Berlin (Germany), 13th International Workshop on Variational Multiscale and Stabilized Finite Elements (VMS 18), <em>Adaptive Methods and Efficient Data Structures for Stabilized Finite Element Methods<\/em><\/li>\n<\/ul>\n<h3>in 2019<\/h3>\n<ul>\n<li>M. P. Bruchh\u00e4user: Brunel University London (UK), The Mathematics of Finite Elements and Applications (MAFELAP 2019), <em>Duality based space-time adaptivity for convection-dominated problems<\/em><\/li>\n<\/ul>\n<h3>Open Campus 2018<\/h3>\n<figure id=\"attachment_1388\" aria-describedby=\"caption-attachment-1388\" style=\"width: 600px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1388\" src=\"https:\/\/www.hsu-hh.de\/mbm\/wp-content\/uploads\/sites\/700\/2018\/08\/DSC_0973-682x1024.jpg\" alt=\"Prof. Dr. Markus Bause\" width=\"600\" height=\"901\" srcset=\"https:\/\/www.hsu-hh.de\/mbm\/wp-content\/uploads\/sites\/700\/2018\/08\/DSC_0973-682x1024.jpg 682w, https:\/\/www.hsu-hh.de\/mbm\/wp-content\/uploads\/sites\/700\/2018\/08\/DSC_0973-200x300.jpg 200w, https:\/\/www.hsu-hh.de\/mbm\/wp-content\/uploads\/sites\/700\/2018\/08\/DSC_0973-768x1154.jpg 768w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><figcaption id=\"caption-attachment-1388\" class=\"wp-caption-text\"><abbr title=\"Professor\">Prof.<\/abbr> <abbr title=\"Doktor\">Dr.<\/abbr> Markus Bause honoured with the teaching award 2018 for professors<\/figcaption><\/figure>\n<figure id=\"attachment_1356\" aria-describedby=\"caption-attachment-1356\" style=\"width: 600px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.hsu-hh.de\/mbm\/wp-content\/uploads\/sites\/700\/2018\/08\/IMG_1446.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1356\" src=\"https:\/\/www.hsu-hh.de\/mbm\/wp-content\/uploads\/sites\/700\/2018\/08\/IMG_1446-1024x768.jpg\" alt=\"Open Campus 2018: Numerical Mathematics\" width=\"600\" height=\"450\" srcset=\"https:\/\/www.hsu-hh.de\/mbm\/wp-content\/uploads\/sites\/700\/2018\/08\/IMG_1446-1024x768.jpg 1024w, https:\/\/www.hsu-hh.de\/mbm\/wp-content\/uploads\/sites\/700\/2018\/08\/IMG_1446-300x225.jpg 300w, https:\/\/www.hsu-hh.de\/mbm\/wp-content\/uploads\/sites\/700\/2018\/08\/IMG_1446-768x576.jpg 768w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/a><figcaption id=\"caption-attachment-1356\" class=\"wp-caption-text\"><a href=\"https:\/\/www.hsu-hh.de\/mbm\/wp-content\/uploads\/sites\/700\/2018\/08\/IMG_1446.jpg\">Open Campus 2018: Numerical Mathematics<\/a><\/figcaption><\/figure>\n<h3>Minisymposia and Workshops<\/h3>\n<ul>\n<li>M. Bause and F. A.: Radu: Glasgow (2018), 6th European Conference on Computational Mechanics (Solids, Structures and Coupled Problems) (ECCM 6) and 7th European Conference on Computational Fluid Dynamics (ECFD 7), <em>Recent advances in simulation of flow in Deformable porous media<\/em><\/li>\n<li>M. Bause and F. A.: Radu: Hamburg (2017), <em>International Workshop on Flow in Deformable Porous Media: Numerics and Benchmarks <\/em>(PDF of poster <a href=\"https:\/\/www.hsu-hh.de\/mbm\/wp-content\/uploads\/sites\/700\/2017\/10\/Plakat_International-Workshop__170914-2.pdf\">here<\/a>)<\/li>\n<\/ul>\n<p><strong>Upcoming<\/strong><\/p>\n<ul>\n<li>M. Bause and F. A.: Radu: Brunel University London (2019), The Mathematics of Finite Elements and Applications, <em>Advances in Space-Time Finite Element Methods<\/em><\/li>\n<\/ul>\n<h3>Miscellaneous<\/h3>\n<ul>\n<li>M. Bause: Research visit at the University of Bergen, <abbr title=\"Professor\">Prof.<\/abbr> <abbr title=\"Doktor\">Dr.<\/abbr> F. A. Radu, February 2018<\/li>\n<li>U. K\u00f6cher: Research visit at the University of Texas at Austin, <abbr title=\"Professor\">Prof.<\/abbr> <abbr title=\"Doktor\">Dr.<\/abbr> M. Wheeler, May 2018<\/li>\n<li>M. Anselmann: Participation in the summer school on hyperbolic conservation laws, University of Hasselt (Belgium), June 2018<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Selected Publications in 2025 N. Margenberg, M. Bause, P. Munch, An hp multigrid approach for tensor-product space-time finite element discretizations of the Stokes equations, \u00a0SIAM J. Sci. Comput.,\u00a0 47 (2025), [&hellip;]<\/p>\n","protected":false},"author":177,"featured_media":0,"parent":338,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[4],"tags":[124],"class_list":["post-276","page","type-page","status-publish","hentry","category-forschung","tag-aktuelles-de"],"_links":{"self":[{"href":"https:\/\/www.hsu-hh.de\/mbm\/wp-json\/wp\/v2\/pages\/276","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.hsu-hh.de\/mbm\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.hsu-hh.de\/mbm\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.hsu-hh.de\/mbm\/wp-json\/wp\/v2\/users\/177"}],"replies":[{"embeddable":true,"href":"https:\/\/www.hsu-hh.de\/mbm\/wp-json\/wp\/v2\/comments?post=276"}],"version-history":[{"count":173,"href":"https:\/\/www.hsu-hh.de\/mbm\/wp-json\/wp\/v2\/pages\/276\/revisions"}],"predecessor-version":[{"id":2747,"href":"https:\/\/www.hsu-hh.de\/mbm\/wp-json\/wp\/v2\/pages\/276\/revisions\/2747"}],"up":[{"embeddable":true,"href":"https:\/\/www.hsu-hh.de\/mbm\/wp-json\/wp\/v2\/pages\/338"}],"wp:attachment":[{"href":"https:\/\/www.hsu-hh.de\/mbm\/wp-json\/wp\/v2\/media?parent=276"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.hsu-hh.de\/mbm\/wp-json\/wp\/v2\/categories?post=276"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.hsu-hh.de\/mbm\/wp-json\/wp\/v2\/tags?post=276"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}