Markus Bause

Orcid: 0000-0003-1180-4250

According to our database1, Markus Bause authored at least 36 papers between 1997 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

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

The Biot-Allard poro-elasticity system: equivalent forms and well-posedness.
CoRR, 2024

Optimal order FEM for dynamic poroelasticity: Error analysis for equal order elements.
CoRR, 2024

Convergence of a continuous Galerkin method for hyperbolic-parabolic systems.
Comput. Math. Appl., 2024

Biot's poro-elasticity system with dynamic permeability convolution: Well-posedness for evolutionary form.
Appl. Math. Lett., 2024

2023
A Cost-Efficient Space-Time Adaptive Algorithm for Coupled Flow and Transport.
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

Benchmark computations of dynamic poroelasticity.
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

Accurate simulation of THz generation with Finite-Element Time Domain methods.
CoRR, 2022

Efficiency of local Vanka smoother geometric multigrid preconditioning for space-time finite element methods to the Navier-Stokes equations.
CoRR, 2022

Convergence of a continuous Galerkin method for mixed hyperbolic-parabolic systems.
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

C<sup>1</sup>-conforming variational discretization of the biharmonic wave equation.
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
Post-processed Galerkin approximation of improved order for wave equations.
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

Iterative Coupling for Fully Dynamic Poroelasticity.
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
Variational Space-Time Methods for the Wave Equation.
J. Sci. Comput., 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


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