6 papers · 1 filter
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…
Accelerated Development of Multicomponent Alloys in Discrete Design Space Using Bayesian Multi-Objective Optimisation
Osman Mamun, Markus Bause, Bhuiyan Shameem Mahmud Ebna Hai
Bayesian optimization (BO) protocol based on Active Learning (AL) principles has garnered significant attention due to its ability to optimize black-box objective functions efficie…
Numerical Study of Approximation Techniques for the Temporal Weights to the DWR Method
Marius Paul Bruchhäuser, Markus Bause
This work presents a numerical investigation of different approximation techniques for the temporal weights used in the Dual Weighted Residual (DWR) method applied to a time-depend…
Structure preserving discontinuous Galerkin approximation of a hyperbolic-parabolic system
Markus Bause, Sebastian Franz
We study the numerical approximation of a coupled hyperbolic-parabolic system by a family of discontinuous Galerkin space-time finite element methods. The model is rewritten as a f…
The Biot-Allard poro-elasticity system: equivalent forms and well-posedness
Jakob S. Stokke, Markus Bause, Nils Margenberg +1
We consider the fully dynamic Biot-Allard model, which includes memory effects. Convolution integrals in time model the history of the porous medium. We use a series representation…
Optimal order FEM for dynamic poroelasticity: Error analysis for equal order elements
Markus Bause, Mathias Anselmann
The numerical approximation of dynamic poroelasticity, modeling flow in deformable porous media, by a family of continuous space-time finite element methods is investigated. Equal…