English

Non-self adjoint impedance in Generalized Optimized Schwarz Methods

Numerical Analysis 2022-08-19 v2 Numerical Analysis

Abstract

We present a convergence theory for Optimized Schwarz Methods that rely on a non-local exchange operator and covers the case of coercive possibly non-self-adjoint impedance operators. This analysis also naturally deals with the presence of cross-points in subdomain partitions of arbitrary shape. In the particular case of self-adjoint impedance, we recover the theory proposed in [Claeys & Parolin, 2021].

Keywords

Cite

@article{arxiv.2108.03652,
  title  = {Non-self adjoint impedance in Generalized Optimized Schwarz Methods},
  author = {Xavier Claeys},
  journal= {arXiv preprint arXiv:2108.03652},
  year   = {2022}
}
R2 v1 2026-06-24T04:55:28.874Z