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arXiv · 2510.27314

A non-iterative domain decomposition time integrator combined with discontinuous Galerkin space discretizations for acoustic wave equations

Tim Buchholz·Marlis Hochbruck
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Abstract

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 Crank-Nicolson approximation combined with a suitable local prediction step in time. In contrast to earlier work using linear continuous finite elements with mass lumping, the proposed approach enables higher-order approximations and also heterogeneous material parameters in a natural way.

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Tim Buchholz, Marlis Hochbruck. 2025-10-31. A non-iterative domain decomposition time integrator combined with discontinuous Galerkin space discretizations for acoustic wave equations. https://arxiv.org/abs/2510.27314

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