Volume 55, Number 2, March-April 2021
|Page(s)||429 - 448|
|Published online||16 March 2021|
Non-local variant of the optimised Schwarz method for arbitrary non-overlapping subdomain partitions
Sorbonne Université, Université Paris-Diderot SPC, CNRS, Inria, Laboratoire Jacques-Louis Lions, équipe Alpines, Paris, France
* Corresponding author: firstname.lastname@example.org
Accepted: 3 December 2020
We consider a scalar wave propagation in harmonic regime modelled by Helmholtz equation with heterogeneous coefficients. Using the Multi-Trace Formalism (MTF), we propose a new variant of the Optimized Schwarz Method (OSM) that remains valid in the presence of cross-points in the subdomain partition. This leads to the derivation of a strongly coercive formulation of our Helmholtz problem posed on the union of all interfaces. The corresponding operator takes the form “identity + non-expansive”.
Mathematics Subject Classification: 65N38 / 65N55 / 31B10
Key words: Domain decomposition / wave propagation / Helmholtz / integral operators / cross point
© EDP Sciences, SMAI 2021
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