3 papers
math.NA2026
A discrete Saint-Venant principle for finite element discretizations of elliptic problems
Tim Buchholz, Julian Dörner
The present paper studies finite element discretizations of second-order elliptic boundary value problems with homogeneous right-hand side and inhomogeneous boundary conditions. We…
math.NA2026
A non-iterative domain decomposition time integrator combined with discontinuous Galerkin space discretizations for acoustic wave equations
Tim Buchholz, Marlis Hochbruck
We propose a novel non-iterative domain decomposition time integrator for acoustic wave equations using a discontinuous Galerkin discretization in space. It is based on a local Cra…
math.NA2026
A non-iterative domain decomposition time integrator for linear wave equations
Tim Buchholz, Marlis Hochbruck
We propose and analyze a non-iterative domain decomposition integrator for the linear acoustic wave equation. The core idea is to combine an implicit Crank-Nicolson step on spatial…