Nonselfadjoint impedance in Generalized Optimized Schwarz Methods

X. Claeys

doi:10.1093/imanum/drac062

Nonselfadjoint impedance in Generalized Optimized Schwarz Methods

X. Claeys

UPMC Université de Paris VI

Research output: Contribution to journal › Article › peer-review

Abstract

We 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).

Original language	English
Pages (from-to)	3026-3054
Number of pages	29
Journal	IMA Journal of Numerical Analysis
Volume	43
Issue number	5
DOIs	https://doi.org/10.1093/imanum/drac062
Publication status	Published - 1 Sept 2023
Externally published	Yes

Keywords

cross point
domain decomposition
substructuring
wave propagation

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10.1093/imanum/drac062

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abstract = "We 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).",

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N2 - We 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).

AB - We 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).

KW - cross point

KW - domain decomposition

KW - substructuring

KW - wave propagation

U2 - 10.1093/imanum/drac062

DO - 10.1093/imanum/drac062

M3 - Article

AN - SCOPUS:85174489169

SN - 0272-4979

VL - 43

SP - 3026

EP - 3054

JO - IMA Journal of Numerical Analysis

JF - IMA Journal of Numerical Analysis

IS - 5

ER -

Nonselfadjoint impedance in Generalized Optimized Schwarz Methods

Abstract

Keywords

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