| Issue |
ESAIM: M2AN
Volume 55, Number 2, March-April 2021
|
|
|---|---|---|
| Page(s) | 429 - 448 | |
| DOI | https://doi.org/10.1051/m2an/2020083 | |
| 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: claeys@ann.jussieu.fr
Received:
11
October
2019
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.