Reconstruction of quasi-local numerical effective models from low-resolution measurements
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2577 | |
dc.contributor.author | Caiazzo, Alfonso | |
dc.contributor.author | Maier, Roland | |
dc.contributor.author | Peterseim, Daniel | |
dc.date.accessioned | 2022-06-23T09:38:49Z | |
dc.date.available | 2022-06-23T09:38:49Z | |
dc.date.issued | 2019 | |
dc.description.abstract | We consider the inverse problem of reconstructing an effective model for a prototypical diffusion process in strongly heterogeneous media based on low-resolution measurements. We rely on recent quasi-local numerical effective models that, in contrast to conventional homogenized models, are provably reliable beyond periodicity assumptions and scale separation. The goal of this work is to show that the identification of the matrix representation of these effective models is possible. Algorithmic aspects of the inversion procedure and its performance are illustrated in a series of numerical experiments. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9151 | |
dc.identifier.uri | https://doi.org/10.34657/8189 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2577 | |
dc.relation.hasversion | https://doi.org/10.1007/s10915-020-01304-y | |
dc.relation.issn | 2198-5855 | |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | |
dc.subject.other | Inverse problem | eng |
dc.subject.other | multiscale methods | eng |
dc.subject.other | numerical homogenization | eng |
dc.title | Reconstruction of quasi-local numerical effective models from low-resolution measurements | eng |
dc.type | Report | eng |
dc.type | Text | eng |
dcterms.extent | 21 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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