93 citations · 208 across the 38 of their papers we have counts for
4 papers · 2 filters
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…
Optimal Dirichlet Boundary Control by Fourier Neural Operators Applied to Nonlinear Optics
Nils Margenberg, Franz X. Kärtner, Markus Bause
We present an approach for solving optimal Dirichlet boundary control problems of nonlinear optics by using deep learning. For computing high resolution approximations of the solut…
Benchmark computations of dynamic poroelasticity
Mathias Anselmann, Markus Bause, Nils Margenberg +1
We present benchmark computations of dynamic poroelasticity modeling fluid flow in deformable porous media by a coupled hyperbolic-parabolic system of partial differential equation…
An energy-efficient GMRES-Multigrid solver for space-time finite element computation of dynamic poro- and thermoelasticity
Mathias Anselmann, Markus Bause, Nils Margenberg +1
We present families of space-time finite element methods (STFEMs) for a coupled hyperbolic-parabolic system of poro- or thermoelasticity. Well-posedness of the discrete problems is…