4 papers
Multi-goal-oriented anisotropic error control and mesh adaptivity for time-dependent convection-dominated problems
Markus Bause, Marius Paul Bruchhäuser, Bernhard Endtmayer +3
In this work, we present an anisotropic multi-goal error control based on the Dual Weighted Residual (DWR) method for time-dependent convection-diffusion-reaction (CDR) equations.…
Anisotropic space-time goal-oriented error control and mesh adaptivity for convection-diffusion-reaction equations
M. Bause, M. Bruchhäuser, B. Endtmayer +3
We present an anisotropic goal-oriented error estimator based on the Dual Weighted Residual (DWR) method for time-dependent convection-diffusion-reaction (CDR) equations. Using ani…
An hp Multigrid Approach for Tensor-Product Space-Time Finite Element Discretizations of the Stokes Equations
Nils Margenberg, Markus Bause, Peter Munch
We present a monolithic space-time multigrid method for tensor-product space-time finite element discretizations of the Stokes equations. Geometric and polynomial coarsening o…
Well-posedness and exponential stability of dispersive nonlinear Maxwell equations with PML: An evolutionary approach
Nils Margenberg, Markus Bause
This paper presents a mathematical foundation for physical models in nonlinear optics through the lens of evolutionary equations. It focuses on two key concepts: well-posedness and…