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Article Dans Une Revue ESAIM: Mathematical Modelling and Numerical Analysis Année : 2021

Non-local variant of the Optimised Schwarz Method for arbitrary non-overlapping subdomain partitions

Xavier Claeys

Résumé

We consider a scalar wave propagation in harmonic regime modelled by Helmholtz equation with heterogeneous coecients. 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".
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Dates et versions

hal-03192760 , version 1 (08-04-2021)

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Xavier Claeys. Non-local variant of the Optimised Schwarz Method for arbitrary non-overlapping subdomain partitions. ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (2), pp.429-448. ⟨10.1051/m2an/2020083⟩. ⟨hal-03192760⟩
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