Sparse tensor edge elements
dc.contributor.author | Hiptmair, Ralf | |
dc.contributor.author | Jerez-Hanckes, Carlos | |
dc.contributor.author | Schwab, Christoph | |
dc.date.accessioned | 2025-01-24T00:07:31Z | |
dc.date.available | 2025-01-24T00:07:31Z | |
dc.date.issued | 2013 | |
dc.description.abstract | We 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.origen | WOS | |
dc.identifier.doi | 10.1007/s10543-013-0435-3 | |
dc.identifier.eissn | 1572-9125 | |
dc.identifier.issn | 0006-3835 | |
dc.identifier.uri | https://doi.org/10.1007/s10543-013-0435-3 | |
dc.identifier.uri | https://repositorio.uc.cl/handle/11534/101919 | |
dc.identifier.wosid | WOS:000327125000007 | |
dc.issue.numero | 4 | |
dc.language.iso | en | |
dc.pagina.final | 939 | |
dc.pagina.inicio | 925 | |
dc.revista | Bit numerical mathematics | |
dc.rights | acceso restringido | |
dc.subject | Sparse tensor approximation | |
dc.subject | Stochastic source problems | |
dc.subject | Maxwell cavity source problem | |
dc.subject | Edge elements | |
dc.subject | Fortin projector | |
dc.subject | Commuting diagram property | |
dc.title | Sparse tensor edge elements | |
dc.type | artículo | |
dc.volumen | 53 | |
sipa.index | WOS | |
sipa.trazabilidad | WOS;2025-01-12 |