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2020 – today
- 2024
[j18]Jakob S. Stokke
, Markus Bause, Nils Margenberg, Florin A. Radu:
Biot's poro-elasticity system with dynamic permeability convolution: Well-posedness for evolutionary form. Appl. Math. Lett. 158: 109224 (2024)- [j17]Markus Bause, Mathias Anselmann, Uwe Köcher, Florin A. Radu:
Convergence of a continuous Galerkin method for hyperbolic-parabolic systems. Comput. Math. Appl. 158: 118-138 (2024) - [j16]Nils Margenberg, Franz X. Kärtner, Markus Bause:
Optimal Dirichlet boundary control by Fourier neural operators applied to nonlinear optics. J. Comput. Phys. 499: 112725 (2024) - [i22]Markus Bause, Mathias Anselmann:
Optimal order FEM for dynamic poroelasticity: Error analysis for equal order elements. CoRR abs/2401.15696 (2024) - [i21]Jakob S. Stokke, Markus Bause, Nils Margenberg, Florin A. Radu:
The Biot-Allard poro-elasticity system: equivalent forms and well-posedness. CoRR abs/2406.01184 (2024) - [i20]Marius Paul Bruchhäuser, Markus Bause:
Numerical Study of Approximation Techniques for the Temporal Weights to the DWR Method. CoRR abs/2407.13418 (2024) - 2023
- [j15]Marius Paul Bruchhäuser, Markus Bause:
A Cost-Efficient Space-Time Adaptive Algorithm for Coupled Flow and Transport. Comput. Methods Appl. Math. 23(4): 849-876 (2023) - [j14]Mathias Anselmann, Markus Bause:
A Geometric Multigrid Method for Space-Time Finite Element Discretizations of the Navier-Stokes Equations and its Application to 3D Flow Simulation. ACM Trans. Math. Softw. 49(1): 5:1-5:25 (2023) - [i19]Mathias Anselmann, Markus Bause, Nils Margenberg, Pavel Shamko:
An energy-efficient GMRES-Multigrid solver for space-time finite element computation of dynamic poro- and thermoelasticity. CoRR abs/2303.06742 (2023) - [i18]Mathias Anselmann, Markus Bause, Nils Margenberg, Pavel Shamko:
Benchmark computations of dynamic poroelasticity. CoRR abs/2307.02057 (2023) - [i17]Nils Margenberg, Franz X. Kärtner, Markus Bause:
Optimal Dirichlet Boundary Control by Fourier Neural Operators Applied to Nonlinear Optics. CoRR abs/2307.07292 (2023) - [i16]Markus Bause, Sebastian Franz:
Structure preserving discontinuous Galerkin approximation of a hyperbolic-parabolic system. CoRR abs/2311.01264 (2023) - 2022
- [j13]Markus Bause, Maria Lymbery, Kevin Osthues:
C1-conforming variational discretization of the biharmonic wave equation. Comput. Math. Appl. 119: 208-219 (2022) - [j12]Marius Paul Bruchhäuser, Uwe Köcher, Markus Bause:
On the Implementation of an Adaptive Multirate Framework for Coupled Transport and Flow. J. Sci. Comput. 93(2): 59 (2022) - [i15]Markus Bause, Uwe Köcher, Florin A. Radu:
Convergence of a continuous Galerkin method for mixed hyperbolic-parabolic systems. CoRR abs/2201.12014 (2022) - [i14]Marius Paul Bruchhäuser, Uwe Köcher, Markus Bause:
On the implementation of an adaptive multirate framework for coupled transport and flow. CoRR abs/2202.03748 (2022) - [i13]Mathias Anselmann, Markus Bause:
Efficiency of local Vanka smoother geometric multigrid preconditioning for space-time finite element methods to the Navier-Stokes equations. CoRR abs/2210.02690 (2022) - [i12]Nils Margenberg, Franz X. Kärtner, Markus Bause:
Accurate simulation of THz generation with Finite-Element Time Domain methods. CoRR abs/2211.06854 (2022) - [i11]Marius Paul Bruchhäuser, Markus Bause:
A Cost-Efficient Space-Time Adaptive Algorithm for Coupled Flow and Transport. CoRR abs/2212.02954 (2022) - 2021
- [j11]Markus Bause, Marius Paul Bruchhäuser, Uwe Köcher:
Flexible goal-oriented adaptivity for higher-order space-time discretizations of transport problems with coupled flow. Comput. Math. Appl. 91: 17-35 (2021) - [j10]Mathias Anselmann, Markus Bause:
Higher order Galerkin-collocation time discretization with Nitsche's method for the Navier-Stokes equations. Math. Comput. Simul. 189: 141-162 (2021) - [i10]Mathias Anselmann, Markus Bause:
CutFEM and ghost stabilization techniques for higher order space-time discretizations of the Navier-Stokes equations. CoRR abs/2103.16249 (2021) - [i9]Subhayan De, Bhuiyan Shameem Mahmood Ebna Hai, Alireza Doostan, Markus Bause:
Prediction of Ultrasonic Guided Wave Propagation in Solid-fluid and their Interface under Uncertainty using Machine Learning. CoRR abs/2105.02813 (2021) - [i8]Mathias Anselmann, Markus Bause:
Numerical convergence of discrete extensions in a space-time finite element, fictitious domain method for the Navier-Stokes equations. CoRR abs/2107.01077 (2021) - [i7]Markus Bause, Maria Lymbery, Kevin Osthues:
C1-conforming variational discretization of the biharmonic wave equation. CoRR abs/2107.03906 (2021) - [i6]Mathias Anselmann, Markus Bause:
A geometric multigrid method for space-time finite element discretizations of the Navier-Stokes equations and its application to 3d flow simulation. CoRR abs/2107.10561 (2021) - 2020
- [j9]Markus Bause, Uwe Köcher, Florin A. Radu, Friedhelm Schieweck:
Post-processed Galerkin approximation of improved order for wave equations. Math. Comput. 89(322): 595-627 (2020) - [i5]Markus Bause, Marius Paul Bruchhäuser, Uwe Köcher:
Flexible goal-oriented space-time adaptivity for coupled Stokes flow and convection-dominated transport. CoRR abs/2002.06855 (2020)
2010 – 2019
- 2019
- [j8]Bhuiyan Shameem Mahmood Ebna Hai, Markus Bause:
Numerical study and comparison of alternative time discretization schemes for an ultrasonic guided wave propagation problem coupled with fluid-structure interaction. Comput. Math. Appl. 78(9): 2867-2885 (2019) - [j7]Uwe Köcher, Marius Paul Bruchhäuser, Markus Bause:
Efficient and scalable data structures and algorithms for goal-oriented adaptivity of space-time FEM codes. SoftwareX 10: 100239 (2019) - [c2]Markus Bause, Jakub Wiktor Both, Florin A. Radu:
Iterative Coupling for Fully Dynamic Poroelasticity. ENUMATH 2019: 115-123 - [i4]Mathias Anselmann, Markus Bause, Simon Becher, Gunar Matthies:
Galerkin-collocation approximation in time for the wave equation and its post-processing. CoRR abs/1908.08238 (2019) - [i3]Markus Bause, Jakub Wiktor Both, Florin A. Radu:
Iterative Coupling for Fully Dynamic Poroelasticity. CoRR abs/1912.05174 (2019) - [i2]Mathias Anselmann, Markus Bause:
Higher order Galerkin-collocation time discretization with Nitsche's method for the Navier-Stokes equations. CoRR abs/1912.07426 (2019) - 2018
- [i1]Uwe Köcher, Marius Paul Bruchhäuser, Markus Bause:
Efficient and scalable data structures and algorithms for goal-oriented adaptivity of space-time FEM codes. CoRR abs/1812.08558 (2018) - 2017
- [j6]Markus Bause, Florin A. Radu, Uwe Köcher:
Error analysis for discretizations of parabolic problems using continuous finite elements in time and mixed finite elements in space. Numerische Mathematik 137(4): 773-818 (2017) - 2015
- [j5]Markus Bause, Uwe Köcher:
Variational time discretization for mixed finite element approximations of nonstationary diffusion problems. J. Comput. Appl. Math. 289: 208-224 (2015) - [c1]Markus Bause, Uwe Köcher:
Iterative Coupling of Variational Space-Time Methods for Biot's System of Poroelasticity. ENUMATH 2015: 143-151 - 2014
- [j4]Uwe Köcher, Markus Bause:
Variational Space-Time Methods for the Wave Equation. J. Sci. Comput. 61(2): 424-453 (2014) - 2013
- [j3]Markus Bause, Kristina Schwegler:
Higher order finite element approximation of systems of convection-diffusion-reaction equations with small diffusion. J. Comput. Appl. Math. 246: 52-64 (2013) - 2010
- [j2]Markus Bause, Joachim Hoffmann, Peter Knabner:
First-order convergence of multi-point flux approximation on triangular grids and comparison with mixed finite element methods. Numerische Mathematik 116(1): 1-29 (2010)
2000 – 2009
- 2002
- [j1]Markus Bause, Peter Knabner:
Uniform Error Analysis for Lagrange-Galerkin Approximations of Convection-Dominated Problems. SIAM J. Numer. Anal. 39(6): 1954-1984 (2002)
1990 – 1999
- 1997
- [b1]Markus Bause:
Optimale Konvergenzraten für voll diskretisierte Navier-Stokes-Approximationen höherer Ordnung in Gebieten mit Lipschitz-Rand. Universität Paderborn, 1997, pp. 1-175
Coauthor Index
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