Markus Bause
Orcid: 0000-0003-1180-4250
According to our database1,
Markus Bause
authored at least 42 papers
between 1997 and 2025.
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Bibliography
2025
Multi-goal-oriented anisotropic error control and mesh adaptivity for time-dependent convection-dominated problems.
CoRR, July, 2025
Optimal pressure approximation for the nonstationary Stokes problem by a variational method in time with post-processing.
CoRR, May, 2025
Convergence of a continuous Galerkin method for the Biot-Allard poroelasticity system.
CoRR, April, 2025
Anisotropic space-time goal-oriented error control and mesh adaptivity for convection-diffusion-reaction equations.
CoRR, April, 2025
An hp Multigrid Approach for Tensor-Product Space-Time Finite Element Discretizations of the Stokes Equations.
CoRR, February, 2025
Accelerated development of multi-component alloys in discrete design space using Bayesian multi-objective optimisation.
Mach. Learn. Sci. Technol., 2025
2024
Optimal Dirichlet boundary control by Fourier neural operators applied to nonlinear optics.
J. Comput. Phys., February, 2024
Numerical Study of Approximation Techniques for the Temporal Weights to the DWR Method.
CoRR, 2024
CoRR, 2024
Optimal order FEM for dynamic poroelasticity: Error analysis for equal order elements.
CoRR, 2024
Comput. Math. Appl., 2024
Biot's poro-elasticity system with dynamic permeability convolution: Well-posedness for evolutionary form.
Appl. Math. Lett., 2024
2023
Comput. Methods Appl. Math., October, 2023
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., March, 2023
Structure preserving discontinuous Galerkin approximation of a hyperbolic-parabolic system.
CoRR, 2023
An energy-efficient GMRES-Multigrid solver for space-time finite element computation of dynamic poro- and thermoelasticity.
CoRR, 2023
2022
On the Implementation of an Adaptive Multirate Framework for Coupled Transport and Flow.
J. Sci. Comput., 2022
CoRR, 2022
Efficiency of local Vanka smoother geometric multigrid preconditioning for space-time finite element methods to the Navier-Stokes equations.
CoRR, 2022
CoRR, 2022
<i>C</i><sup>1</sup>-conforming variational discretization of the biharmonic wave equation.
Comput. Math. Appl., 2022
2021
Higher order Galerkin-collocation time discretization with Nitsche's method for the Navier-Stokes equations.
Math. Comput. Simul., 2021
CoRR, 2021
Numerical convergence of discrete extensions in a space-time finite element, fictitious domain method for the Navier-Stokes equations.
CoRR, 2021
Prediction of Ultrasonic Guided Wave Propagation in Solid-fluid and their Interface under Uncertainty using Machine Learning.
CoRR, 2021
CutFEM and ghost stabilization techniques for higher order space-time discretizations of the Navier-Stokes equations.
CoRR, 2021
Flexible goal-oriented adaptivity for higher-order space-time discretizations of transport problems with coupled flow.
Comput. Math. Appl., 2021
2020
Math. Comput., 2020
Flexible goal-oriented space-time adaptivity for coupled Stokes flow and convection-dominated transport.
CoRR, 2020
2019
Efficient and scalable data structures and algorithms for goal-oriented adaptivity of space-time FEM codes.
SoftwareX, 2019
Galerkin-collocation approximation in time for the wave equation and its post-processing.
CoRR, 2019
Numerical study and comparison of alternative time discretization schemes for an ultrasonic guided wave propagation problem coupled with fluid-structure interaction.
Comput. Math. Appl., 2019
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019
2017
Error analysis for discretizations of parabolic problems using continuous finite elements in time and mixed finite elements in space.
Numerische Mathematik, 2017
2015
Variational time discretization for mixed finite element approximations of nonstationary diffusion problems.
J. Comput. Appl. Math., 2015
Iterative Coupling of Variational Space-Time Methods for Biot's System of Poroelasticity.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015
2014
2013
Higher order finite element approximation of systems of convection-diffusion-reaction equations with small diffusion.
J. Comput. Appl. Math., 2013
2010
First-order convergence of multi-point flux approximation on triangular grids and comparison with mixed finite element methods.
Numerische Mathematik, 2010
2002
Uniform Error Analysis for Lagrange-Galerkin Approximations of Convection-Dominated Problems.
SIAM J. Numer. Anal., 2002
1997
Optimale Konvergenzraten für voll diskretisierte Navier-Stokes-Approximationen höherer Ordnung in Gebieten mit Lipschitz-Rand.
PhD thesis, 1997