Optimale Konvergenzraten für voll diskretisierte Navier-Stokes-Approximationen höherer Ordnung in Gebieten mit Lipschitz-Rand. - Markus Bause (1997)

Uniform Error Analysis for Lagrange-Galerkin Approximations of Convection-Dominated Problems. - Markus Bause; Peter Knabner (SIAM J. Numer. Anal., 2002)

First-order convergence of multi-point flux approximation on triangular grids and comparison with mixed finite element methods. - Markus Bause; Joachim Hoffmann; Peter Knabner (Numerische Mathematik, 2010)

Higher order finite element approximation of systems of convection-diffusion-reaction equations with small diffusion. - Markus Bause; Kristina Schwegler (J. Comput. Appl. Math., 2013)

Variational Space-Time Methods for the Wave Equation. - Uwe Köcher; Markus Bause (J. Sci. Comput., 2014)

Iterative Coupling of Variational Space-Time Methods for Biot's System of Poroelasticity. - Markus Bause; Uwe Köcher (ENUMATH, 2015)

Variational time discretization for mixed finite element approximations of nonstationary diffusion problems. - Markus Bause; Uwe Köcher (J. Comput. Appl. Math., 2015)

Error analysis for discretizations of parabolic problems using continuous finite elements in time and mixed finite elements in space. - Markus Bause; Florin A. Radu; Uwe Köcher (Numerische Mathematik, 2017)

Iterative Coupling for Fully Dynamic Poroelasticity. - Markus Bause; Jakub Wiktor Both; Florin A. Radu (ENUMATH, 2019)

Numerical study and comparison of alternative time discretization schemes for an ultrasonic guided wave propagation problem coupled with fluid-structure interaction. - Bhuiyan Shameem Mahmood Ebna Hai; Markus Bause (Comput. Math. Appl., 2019)

Galerkin-collocation approximation in time for the wave equation and its post-processing. - Mathias Anselmann; Markus Bause; Simon Becher; Gunar Matthies (CoRR, 2019)

Efficient and scalable data structures and algorithms for goal-oriented adaptivity of space-time FEM codes. - Uwe Köcher; Marius Paul Bruchhäuser; Markus Bause (SoftwareX, 2019)

Flexible goal-oriented space-time adaptivity for coupled Stokes flow and convection-dominated transport. - Markus Bause; Marius Paul Bruchhäuser; Uwe Köcher (CoRR, 2020)

Post-processed Galerkin approximation of improved order for wave equations. - Markus Bause; Uwe Köcher; Florin A. Radu; Friedhelm Schieweck (Math. Comput., 2020)

Flexible goal-oriented adaptivity for higher-order space-time discretizations of transport problems with coupled flow. - Markus Bause; Marius Paul Bruchhäuser; Uwe Köcher (Comput. Math. Appl., 2021)

CutFEM and ghost stabilization techniques for higher order space-time discretizations of the Navier-Stokes equations. - Mathias Anselmann; Markus Bause (CoRR, 2021)

Prediction of Ultrasonic Guided Wave Propagation in Solid-fluid and their Interface under Uncertainty using Machine Learning. - Subhayan De; Bhuiyan Shameem Mahmood Ebna Hai; Alireza Doostan; Markus Bause (CoRR, 2021)

Numerical convergence of discrete extensions in a space-time finite element, fictitious domain method for the Navier-Stokes equations. - Mathias Anselmann; Markus Bause (CoRR, 2021)

C1-conforming variational discretization of the biharmonic wave equation. - Markus Bause; Maria Lymbery; Kevin Osthues (CoRR, 2021)

Higher order Galerkin-collocation time discretization with Nitsche's method for the Navier-Stokes equations. - Mathias Anselmann; Markus Bause (Math. Comput. Simul., 2021)

C1-conforming variational discretization of the biharmonic wave equation. - Markus Bause; Maria Lymbery; Kevin Osthues (Comput. Math. Appl., 2022)

Convergence of a continuous Galerkin method for mixed hyperbolic-parabolic systems. - Markus Bause; Uwe Köcher; Florin A. Radu (CoRR, 2022)

Efficiency of local Vanka smoother geometric multigrid preconditioning for space-time finite element methods to the Navier-Stokes equations. - Mathias Anselmann; Markus Bause (CoRR, 2022)

Accurate simulation of THz generation with Finite-Element Time Domain methods. - Nils Margenberg; Franz X. Kärtner; Markus Bause (CoRR, 2022)

On the Implementation of an Adaptive Multirate Framework for Coupled Transport and Flow. - Marius Paul Bruchhäuser; Uwe Köcher; Markus Bause (J. Sci. Comput., 2022)

An energy-efficient GMRES-Multigrid solver for space-time finite element computation of dynamic poro- and thermoelasticity. - Mathias Anselmann; Markus Bause; Nils Margenberg; Pavel Shamko (CoRR, 2023)

Benchmark computations of dynamic poroelasticity. - Mathias Anselmann; Markus Bause; Nils Margenberg; Pavel Shamko (CoRR, 2023)

Structure preserving discontinuous Galerkin approximation of a hyperbolic-parabolic system. - Markus Bause; Sebastian Franz (CoRR, 2023)

A Geometric Multigrid Method for Space-Time Finite Element Discretizations of the Navier-Stokes Equations and its Application to 3D Flow Simulation. - Mathias Anselmann; Markus Bause (ACM Trans. Math. Softw., 2023)

A Cost-Efficient Space-Time Adaptive Algorithm for Coupled Flow and Transport. - Marius Paul Bruchhäuser; Markus Bause (Comput. Methods Appl. Math., 2023)

Biot's poro-elasticity system with dynamic permeability convolution: Well-posedness for evolutionary form. - Jakob S. Stokke; Markus Bause; Nils Margenberg; Florin A. Radu (Appl. Math. Lett., 2024)

Convergence of a continuous Galerkin method for hyperbolic-parabolic systems. - Markus Bause; Mathias Anselmann; Uwe Köcher; Florin A. Radu (Comput. Math. Appl., 2024)

Optimal order FEM for dynamic poroelasticity: Error analysis for equal order elements. - Markus Bause; Mathias Anselmann (CoRR, 2024)

The Biot-Allard poro-elasticity system: equivalent forms and well-posedness. - Jakob S. Stokke; Markus Bause; Nils Margenberg; Florin A. Radu (CoRR, 2024)

Numerical Study of Approximation Techniques for the Temporal Weights to the DWR Method. - Marius Paul Bruchhäuser; Markus Bause (CoRR, 2024)

Optimal Dirichlet boundary control by Fourier neural operators applied to nonlinear optics. - Nils Margenberg; Franz X. Kärtner; Markus Bause (J. Comput. Phys., 2024)

Accelerated development of multi-component alloys in discrete design space using Bayesian multi-objective optimisation. - Osman G. Mamun; Markus Bause; Bhuiyan Shameem Mahmood Ebna Hai (Mach. Learn. Sci. Technol., 2025)

An hp Multigrid Approach for Tensor-Product Space-Time Finite Element Discretizations of the Stokes Equations. - Nils Margenberg; Peter Munch; Markus Bause (CoRR, 2025)

Anisotropic space-time goal-oriented error control and mesh adaptivity for convection-diffusion-reaction equations. - Markus Bause; Marius Paul Bruchhäuser; Bernhard Endtmayer; Nils Margenberg; Ioannis Toulopoulos; Thomas Wick (CoRR, 2025)

Convergence of a continuous Galerkin method for the Biot-Allard poroelasticity system. - Jakob S. Stokke; Markus Bause; Florin A. Radu (CoRR, 2025)

Optimal pressure approximation for the nonstationary Stokes problem by a variational method in time with post-processing. - Mathias Anselmann; Markus Bause; Gunar Matthies; Friedhelm Schieweck (CoRR, 2025)

Multi-goal-oriented anisotropic error control and mesh adaptivity for time-dependent convection-dominated problems. - Markus Bause; Marius Paul Bruchhäuser; Bernhard Endtmayer; Nils Margenberg; Ioannis Toulopoulos; Thomas Wick (CoRR, 2025)