Abstract
In this paper we compare numerically two different coarse space definitions for two-level domain decomposition preconditioners for the Helmholtz equation, both in two and three dimensions. While we solve the pure Helmholtz problem without absorption, the preconditioners are built from problems with absorption. In the first method, the coarse space is based on the discretization of the problem with absorption on a coarse mesh, with diameter constrained by the wavenumber. In the second method, the coarse space is built by solving local eigenproblems involving the Dirichlet-to-Neumann (DtN) operator.
Original language | English |
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Title of host publication | Domain Decomposition Methods in Science and Engineering XXIV. DD 2017 |
Editors | P. Bjorstad |
Place of Publication | Cham, Switzerland |
Publisher | Springer Verlag |
Pages | 139-147 |
Number of pages | 9 |
ISBN (Electronic) | 9783319938738 |
ISBN (Print) | 9783319938721 |
DOIs | |
Publication status | Published - 1 Jan 2018 |
Publication series
Name | Lecture Notes in Computational Science and Engineering |
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Volume | 125 |
ISSN (Print) | 1439-7358 |
Funding
Acknowledgements This work has been supported in part by Agency (ANR), project MEDIMAX, ANR-13-MONU-0012.
ASJC Scopus subject areas
- Modelling and Simulation
- General Engineering
- Discrete Mathematics and Combinatorics
- Control and Optimization
- Computational Mathematics