Density of convex intersections and applications
dc.bibliographicCitation.firstPage | 20160919 | |
dc.bibliographicCitation.issue | 2205 | |
dc.bibliographicCitation.volume | 473 | |
dc.contributor.author | Hintermüller, M. | |
dc.contributor.author | Rautenberg, C.N. | |
dc.contributor.author | Rösel, S. | |
dc.date.accessioned | 2022-06-23T08:53:52Z | |
dc.date.available | 2022-06-23T08:53:52Z | |
dc.date.issued | 2017 | |
dc.description.abstract | In this paper, we address density properties of intersections of convex sets in several function spaces. Using the concept of Γ-convergence, it is shown in a general framework, how these density issues naturally arise from the regularization, discretization or dualization of constrained optimization problems and from perturbed variational inequalities. A variety of density results (and counterexamples) for pointwise constraints in Sobolev spaces are presented and the corresponding regularity requirements on the upper bound are identified. The results are further discussed in the context of finite-element discretizations of sets associated with convex constraints. Finally, two applications are provided, which include elasto-plasticity and image restoration problems. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9146 | |
dc.identifier.uri | https://doi.org/10.34657/8184 | |
dc.language.iso | eng | eng |
dc.publisher | London : Royal Society | |
dc.relation.doi | https://doi.org/10.1098/rspa.2016.0919 | |
dc.relation.essn | 1471-2946 | |
dc.relation.ispartofseries | Proceedings of the Royal Society of London : Series A, Mathematical, physical and engineering sciences 473 (2017), Nr. 2205 | |
dc.rights.license | CC BY 4.0 Unported | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.subject | convex constraints | eng |
dc.subject | density | eng |
dc.subject | elasto-plasticity | eng |
dc.subject | finite elements | eng |
dc.subject | image restoration | eng |
dc.subject | variational inequalities | eng |
dc.subject.ddc | 530 | |
dc.subject.ddc | 510 | |
dc.title | Density of convex intersections and applications | eng |
dc.type | article | eng |
dc.type | Text | eng |
dcterms.bibliographicCitation.journalTitle | Proceedings of the Royal Society of London : Series A, Mathematical, physical and engineering sciences | |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | ger |
wgl.subject | Physik | ger |
wgl.subject | Mathematik | ger |
wgl.type | Zeitschriftenartikel | ger |
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