A non-iterative domain decomposition time integrator combined with discontinuous Galerkin space discretizations for acoustic wave equations
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911577802801152 |
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| author | Buchholz, Tim Hochbruck, Marlis |
| author_facet | Buchholz, Tim Hochbruck, Marlis |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_27314 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A non-iterative domain decomposition time integrator combined with discontinuous Galerkin space discretizations for acoustic wave equations Buchholz, Tim Hochbruck, Marlis Numerical Analysis 65M55, 65Y05, 65-06 (Primary) 65N30, 35L05 (Secondary) 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. |
| title | A non-iterative domain decomposition time integrator combined with discontinuous Galerkin space discretizations for acoustic wave equations |
| topic | Numerical Analysis 65M55, 65Y05, 65-06 (Primary) 65N30, 35L05 (Secondary) |
| url | https://arxiv.org/abs/2510.27314 |