Locking free and gradient robust H(div)-conforming HDG methods for linear elasticity
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2680 | |
dc.contributor.author | Fu, Guosheng | |
dc.contributor.author | Lehrenfeld, Christoph | |
dc.contributor.author | Linke, Alexander | |
dc.contributor.author | Streckenbach, Timo | |
dc.date.accessioned | 2022-06-30T12:42:33Z | |
dc.date.available | 2022-06-30T12:42:33Z | |
dc.date.issued | 2020 | |
dc.description.abstract | Robust discretization methods for (nearly-incompressible) linear elasticity are free of volume-locking and gradient-robust. While volume-locking is a well-known problem that can be dealt with in many different discretization approaches, the concept of gradient-robustness for linear elasticity is new. We discuss both aspects and propose novel Hybrid Discontinuous Galerkin (HDG) methods for linear elasticity. The starting point for these methods is a divergence-conforming discretization. As a consequence of its well-behaved Stokes limit the method is gradient-robust and free of volume-locking. To improve computational efficiency, we additionally consider discretizations with relaxed divergence-conformity and a modification which re-enables gradient-robustness, yielding a robust and quasi-optimal discretization also in the sense of HDG superconvergence. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9330 | |
dc.identifier.uri | https://doi.org/10.34657/8368 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2680 | |
dc.relation.hasversion | https://doi.org/10.1007/s10915-020-01396-6 | |
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 | Linear elasticity | eng |
dc.subject.other | nearly incompressible | eng |
dc.subject.other | locking phenomenon | eng |
dc.subject.other | volume-locking | eng |
dc.subject.other | gradient-robustness | eng |
dc.subject.other | discontinuous Galerkin | eng |
dc.subject.other | H(div)-conforming HDG methods | eng |
dc.title | Locking free and gradient robust H(div)-conforming HDG methods for linear elasticity | eng |
dc.type | Report | eng |
dc.type | Text | eng |
dcterms.extent | 27 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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