Sparse tensor edge elements

Simple item page
dc.contributor.authorHiptmair, Ralf
dc.contributor.authorJerez-Hanckes, Carlos
dc.contributor.authorSchwab, Christoph
dc.date.accessioned2025-01-24T00:07:31Z
dc.date.available2025-01-24T00:07:31Z
dc.date.issued2013
dc.description.abstractWe consider the tensorized operator for the Maxwell cavity source problem in frequency domain. Such formulations occur when computing statistical moments of the fields under a stochastic volume excitation. We establish a discrete inf-sup condition for its Ritz-Galerkin discretization on sparse tensor product edge element spaces built on nested sequences of meshes. Our main tool is a generalization of the edge element Fortin projector to a tensor product setting. The techniques extend to the surface boundary edge element discretization of tensorized electric field integral equation operators.
dc.fuente.origenWOS
dc.identifier.doi10.1007/s10543-013-0435-3
dc.identifier.eissn1572-9125
dc.identifier.issn0006-3835
dc.identifier.urihttps://doi.org/10.1007/s10543-013-0435-3
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/101919
dc.identifier.wosidWOS:000327125000007
dc.issue.numero4
dc.language.isoen
dc.pagina.final939
dc.pagina.inicio925
dc.revistaBit numerical mathematics
dc.rightsacceso restringido
dc.subjectSparse tensor approximation
dc.subjectStochastic source problems
dc.subjectMaxwell cavity source problem
dc.subjectEdge elements
dc.subjectFortin projector
dc.subjectCommuting diagram property
dc.titleSparse tensor edge elements
dc.typeartículo
dc.volumen53
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
Files
Collections
Artículos de revistas