An Alternative Coarse Space for Irregular Subdomains and an Overlapping Schwarz Algorithm for Scalar Elliptic Problems in the Plane

DOI10.1137/110853959zbMath1261.65129OpenAlexW2057159671MaRDI QIDQ4903768

Olof B. Widlund, Clark R. Dohrmann

Publication date: 24 January 2013

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/9c902c9766fe73aa6332383974470c97de30bd84

zbMATH Keywords

algorithmconvergencenumerical resultsdiscontinuous coefficientsdomain decompositionelliptic equationscondition number boundoverlapping Schwarz preconditionersirregular subdomain boundariescoarse subspaces

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with low regular coefficients and/or low regular data (35R05) Iterative numerical methods for linear systems (65F10)

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