AN EFFICIENT TRANSMISSION OPERATOR FOR COMPUTING WAVE PROPAGATION BY DOMAIN DECOMPOSITION - Archive ouverte HAL Access content directly
Conference Papers Year :

AN EFFICIENT TRANSMISSION OPERATOR FOR COMPUTING WAVE PROPAGATION BY DOMAIN DECOMPOSITION

Denis Duhamel

Abstract

For large size problems, domain decompositions can be used to solve wave propagation problems such as the Helmholtz equation. Generally, this leads to an iterative process where data are exchanged at the boundary between subdomains. Depending on the quality of this exchange the number of iterations is more or less. Moreover, this number of iterations can depend on the frequency and on the number of domains. Here, we propose transmission operators approximating the Dirichlet to Neumann (DtN) operator which is known to be near optimal. We show this can be done using only the solution of problems involving sparse matrices and so keeping the computational time at an acceptable level. When this is combined with the double sweep preconditioner and that the computational domain is decomposed into a sequel of slices this results in an algorithm with a low number of iterations. Different examples are presented to support the precedent analysis.
Fichier principal
Vignette du fichier
communication_2019_5.pdf (909.72 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-02915353 , version 1 (14-08-2020)

Identifiers

  • HAL Id : hal-02915353 , version 1

Cite

Denis Duhamel. AN EFFICIENT TRANSMISSION OPERATOR FOR COMPUTING WAVE PROPAGATION BY DOMAIN DECOMPOSITION. Compdyn 2019, Jun 2019, Crète, Greece. ⟨hal-02915353⟩
45 View
49 Download

Share

Gmail Facebook Twitter LinkedIn More