New analysis of overlapping Schwarz methods for vector field problems in three dimensions with generally shaped domains
Year: 2025
Type: article
Abstract: This paper introduces a novel approach to analyze two-level overlapping Schwarz methods for Nédélec and Raviart–Thomas vector field problems. The theory is based on new regular stable decompositions for vector fields that are robust to the topology of the domain. Enhanced estimates for the condition numbers of the preconditioned linear systems are derived, dependent linearly on the relative overlap between the overlapping subdomains. Furthermore, we present the numerical experiments which support our theoretical results.
Source: Journal of Numerical Mathematics
Authors: Duk-Soon Oh, Shangyou Zhang
Institutions: Chungnam National University, University of Delaware
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,712
OpenAlex ID: W4414284922