A new coarse space for overlapping Schwarz algorithms for H(curl) problems in three dimensions with irregular subdomains
Fecha
2019
Tipo
artículo original
Autores
Calvo Alpízar, Juan Gabriel
Título de la revista
ISSN de la revista
Título del volumen
Editor
Resumen
A new coarse space for a two-level overlapping Schwarz algorithm is presented for problems posed in three dimensions in the space H(curl, Ω). Previous studies for these methods are very restrictive about the geometry of the subdomains while this new space is well defined for general 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. The algorithm can be defined for any subdomain geometry and works for highly discontinuous coefficient distributions. Numerical experiments with irregular subdomains and different coefficient distributions are presented. The algorithm appears very promising even for random and discontinuous values of the coefficients.
Descripción
Palabras clave
Domain Decomposition, Overlapping Schwarz algorithms, Irregular subdomain boundaries, H(curl), Discontinuous coefficients, Maxwell’s equations