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07/14/2023
Optimal Dirichlet Boundary Control by Fourier Neural Operators Applied to Nonlinear Optics
We present an approach for solving optimal Dirichlet boundary control pr...
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07/05/2023
Benchmark computations of dynamic poroelasticity
We present benchmark computations of dynamic poroelasticity modeling flu...
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03/12/2023
An energy-efficient GMRES-Multigrid solver for space-time finite element computation of dynamic poro- and thermoelasticity
We present families of space-time finite element methods (STFEMs) for a ...
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12/06/2022
A Cost-Efficient Space-Time Adaptive Algorithm for Coupled Flow and Transport
In this work, a cost-efficient space-time adaptive algorithm based on th...
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11/13/2022
Accurate simulation of THz generation with Finite-Element Time Domain methods
We investigate the accurate full broadband simulation of complex nonline...
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10/06/2022
Efficiency of local Vanka smoother geometric multigrid preconditioning for space-time finite element methods to the Navier-Stokes equations
Numerical simulation of incompressible viscous flow, in particular in th...
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02/08/2022
On the implementation of an adaptive multirate framework for coupled transport and flow
In this work, a multirate in time approach resolving the different time ...
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01/28/2022
Convergence of a continuous Galerkin method for mixed hyperbolic-parabolic systems
We study the numerical approximation by space-time finite element method...
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07/22/2021
A geometric multigrid method for space-time finite element discretizations of the Navier-Stokes equations and its application to 3d flow simulation
We present a parallelized geometric multigrid (GMG) method, based on the...
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07/08/2021
C^1-conforming variational discretization of the biharmonic wave equation
Biharmonic wave equations are of importance to various applications incl...
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07/02/2021
Numerical convergence of discrete extensions in a space-time finite element, fictitious domain method for the Navier-Stokes equations
A key ingredient of our fictitious domain, higher order space-time cut f...
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03/30/2021
CutFEM and ghost stabilization techniques for higher order space-time discretizations of the Navier-Stokes equations
We propose and analyze numerically a new fictitious domain method, based...
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02/17/2020
Flexible goal-oriented space-time adaptivity for coupled Stokes flow and convection-dominated transport
In this work, a flexible, fully space-time adaptive finite element appro...
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12/16/2019
Higher order Galerkin-collocation time discretization with Nitsche's method for the Navier-Stokes equations
We propose and study numerically the implicit approximation in time of t...
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12/11/2019
Iterative Coupling for Fully Dynamic Poroelasticity
We present an iterative coupling scheme for the numerical approximation ...
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08/22/2019
Galerkin-collocation approximation in time for the wave equation and its post-processing
We introduce and analyze a class of Galerkin-collocation discretization ...
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12/20/2018