How to ensure that a domain decomposition method will converge.
type: Distribution
access URL: https://hal.science/hal-00802326
format: HTML
issued: 2026-05-12T07:01:43.746555
modified: 2026-05-12T07:01:43.717572

How to ensure that a domain decomposition method will converge.
type: Dataset
contact point: Organization
  fn: CCSD
keyword: mathmath-namathematics-mathnumerical-analysis-mathna
keyword: hybrid-schwarz
keyword: domain-decomposition
keyword: infoeu-reposemanticspreprint
keyword: heterogeneous-problems
keyword: robustness
keyword: preprints-working-papers-
landing page: https://hal.science/hal-00802326
description: The simulation of processes in highly heterogeneous media comes with many challenges. In particular many domain decomposition methods do not perform well in this case, specially if the decomposition into subdomains does not accommodate the coefficient variations. For three popular domain decomposition methods (two level additive Schwarz, BDD and FETI) we have proposed a remedy to this problem in previous work with coauthors. Here we present the strategy which was used by applying it to the Hybrid Schwarz preconditioner. It is based on identifying a bottleneck estimate in the proof of convergence which cannot be satisfied for the entire solution space. Then the part of the solution which is problematic is isolated via a generalized eigenvalue problem and solved separately.
issued: 2026-05-12T07:01:43.732943
language: en
modified: 2026-05-12T07:01:43.732948

test_moissonnage_selune
type: Agent