A two-level overlapping Schwarz method for H(curl) in two dimensions with irregular subdomains

 

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Detalles Bibliográficos
Autor: Calvo Alpízar, Juan Gabriel
Formato: artículo original
Fecha de Publicación:2015
Descripción:A bound is obtained for the condition number of a two-level overlapping Schwarz algorithm for problems posed in H(curl) in two dimensions, where the subdomains are only assumed to be John subdomains. The coarse space is based on energy minimization and its dimension equals the number of interior subdomain edges. Local direct solvers are used on the overlapping subdomains. Our bound depends only on a few geometric parameters of the decomposition. This bound is independent of jumps in the coefficients across the interface between the subdomains for most of the different cases considered. Numerical experiments that verify the result are shown, including some with subdomains with fractal edges and others obtained by a mesh partitioner.
País:Kérwá
Institución:Universidad de Costa Rica
Repositorio:Kérwá
OAI Identifier:oai:https://www.kerwa.ucr.ac.cr:10669/74617
Acceso en línea:http://etna.math.kent.edu/volumes/2011-2020/vol44/abstract.php?vol=44&pages=497-521
https://hdl.handle.net/10669/74617
Access Level:acceso abierto
Palabra clave:Domain decomposition
overlapping Schwarz algorithms
preconditioners
irregular subdomain boundaries
H(curl)
Maxwell's equations
discontinuous coefficients
65N55
65N30
65F10
35Q60