A BDDC algorithm with deluxe scaling for H(curl) in two dimensions with irregular subdomains
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| Autor: | |
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| Formato: | artículo original |
| Fecha de Publicación: | 2015 |
| Descripción: | A bound is obtained for the condition number of a BDDC algorithm for problems posed in H(curl) in two dimensions, where the subdomains are only assumed to be uniform in the sense of Peter Jones. For the primal variable space, a continuity constraint for the tangential average over each interior subdomain edge is imposed. For the averaging operator, a new technique named deluxe scaling is used. Our optimal bound is independent of jumps in the coefficients across the interface between the subdomains and depends only on a few geometric parameters of the decomposition. Numerical results 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:10669/77385 |
| Acceso en línea: | http://www.ams.org/journals/mcom/2016-85-299/S0025-5718-2015-03028-2/ https://hdl.handle.net/10669/77385 |
| Access Level: | acceso abierto |
| Palabra clave: | Domain Decomposition BDDC preconditioner Irregular subdomain boundaries H(curl) Maxwell’s equations Discontinuous coefficients Preconditioners |