2 citations · 3 across the 6 of their papers we have counts for
8 papers
Conservative Finite Element Methods for Kirchhoff-Type Equations
Benjamin Dörich, Felix Krumbiegel, Jemal Rogava +2
We construct and analyse a fully discrete scheme for a Kirchhoff-type nonlinear integro-differential equation in two spatial dimensions with time-dependent coefficients. The scheme…
Leapfrog Crank--Nicolson decoupling of wave--heat-type problems
Benjamin Dörich, Julian Dörner
This paper proposes and analyzes a numerical method for coupled wave-heat systems that arise, for example, in visco-elasticity with memory, thermo-elastic wave propagation with fin…
Finite element exponential integration for rough solutions of nonlinear wave equations. Part II: Dynamic boundary conditions on curved domains
Jiachuan Cao, Benjamin Dörich, Buyang Li
We study nonlinear wave equations with dynamic boundary conditions on smooth bounded domains and analyze a fully discrete approximation in the low-regularity regime. The method com…
Finite element exponential integration for rough solutions of nonlinear wave equations. Part I: Dirichlet boundary conditions on polygonal and polyhedral domains
Jiachuan Cao, Benjamin Dörich, Marlis Hochbruck +1
We study a fully discrete scheme for nonlinear wave equations on general bounded polygonal/polyhedral domains with initial data , ,…
Error analysis of DGTD for linear Maxwell equations with inhomogeneous interface conditions
Benjamin Dörich, Julian Dörner, Marlis Hochbruck
In the present paper we consider linear and isotropic Maxwell equations with inhomogeneous interface conditions. We discretize the problem with the discontinuous Galerkin method in…
Robust fully discrete error bounds for the Kuznetsov equation in the inviscid limit
Benjamin Dörich, Vanja Nikolić
The Kuznetsov equation is a classical wave model of acoustics that incorporates quadratic gradient nonlinearities. When its strong damping vanishes, it undergoes a singular behavio…
Variational Gaussian approximation for the magnetic Schrödinger equation
Selina Burkhard, Benjamin Dörich, Marlis Hochbruck +1
In the present paper we consider the semiclassical magnetic Schrödinger equation, which describes the dynamics of particles under the influence of a magnetic field. The solution of…
Error bounds for discrete minimizers of the Ginzburg-Landau energy in the high- regime
Benjamin Dörich, Patrick Henning
In this work, we study discrete minimizers of the Ginzburg-Landau energy in finite element spaces. Special focus is given to the influence of the Ginzburg-Landau parameter . Thi…