Nonselfadjoint impedance in Generalized Optimized Schwarz Methods

Author:

Claeys X1

Affiliation:

1. Sorbonne Université , Université Paris-Diderot SPC, CNRS, Laboratoire Jacques-Louis Lions claeys@ann.jussieu.fr

Abstract

AbstractWe present a convergence theory for Optimized Schwarz Methods that rely on a nonlocal exchange operator and covers the case of coercive possibly nonselfadjoint impedance operators. This analysis also naturally deals with the presence of cross-points in subdomain partitions of arbitrary shape. In the particular case of hermitian positive definite impedance, we recover the theory proposed in Claeys & Parolin (2021).

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Computational Mathematics,General Mathematics

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