Computation of local and quasi-local effective diffusion tensors in elliptic homogenization
Computation of local and quasi-local effective diffusion tensors in elliptic homogenization
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dc.contributor.author | Gallistl, Dietmar | |
dc.contributor.author | Peterseim, Daniel | |
dc.date.accessioned | 2024-08-15T11:58:37Z | |
dc.date.available | 2024-08-15T11:58:37Z | |
dc.date.issued | 08.2016 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11811/11855 | |
dc.description.abstract | This paper gives a re-interpretation of the multiscale method of Målqvist and Peterseim [Math. Comp. 2014] by means of a discrete integral operator acting on standard finite element spaces. The exponential decay of the involved integral kernel motivates the use of a diagonal approximation and, hence, a localized piecewise constant coefficient. This local model turns out to be appropriate when the localized coefficient satisfies a certain homogenization criterion, which can be verified a posteriori. An a priori error analysis of the local model is presented and illustrated in numerical experiments. | en |
dc.format.extent | 28 | |
dc.language.iso | eng | |
dc.relation.ispartofseries | INS Preprints ; 1619 | |
dc.rights | In Copyright | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | numerical homogenization | |
dc.subject | multiscale method | |
dc.subject | upscaling | |
dc.subject | a priori error estimates | |
dc.subject | a posteriori error estimates | |
dc.subject.ddc | 510 Mathematik | |
dc.subject.ddc | 518 Numerische Analysis | |
dc.title | Computation of local and quasi-local effective diffusion tensors in elliptic homogenization | |
dc.type | Preprint | |
dc.publisher.name | Institut für Numerische Simulation (INS) | |
dc.publisher.location | Bonn | |
dc.rights.accessRights | openAccess | |
dc.relation.doi | https://doi.org/10.1137/16M1088533 | |
ulbbn.pubtype | Zweitveröffentlichung | |
dcterms.bibliographicCitation.url | https://ins.uni-bonn.de/publication/preprints |
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