On reducing spurious oscillations in discontinuous Galerkin (DG) methods for steady-state convection-diffusion-reaction equations
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2769 | |
dc.contributor.author | Frerichs, Derk | |
dc.contributor.author | John, Volker | |
dc.date.accessioned | 2022-06-30T13:14:20Z | |
dc.date.available | 2022-06-30T13:14:20Z | |
dc.date.issued | 2020 | |
dc.description.abstract | A standard discontinuous Galerkin (DG) finite element method for discretizing steady-state convection-diffusion-reaction equations is known to be stable and to compute sharp layers in the convection-dominated regime, but also to show large spurious oscillations. This paper studies post-processing methods for reducing the spurious oscillations, which replace the DG solution in a vicinity of layers by a constant or linear approximation. Three methods from the literature are considered and several generalizations and modifications are proposed. Numerical studies with the post-processing methods are performed at two-dimensional examples. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9419 | |
dc.identifier.uri | https://doi.org/10.34657/8457 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2769 | |
dc.relation.hasversion | https://doi.org/10.1016/j.cam.2021.113487 | |
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 | Steady-state convection-diffusion-reaction equations | eng |
dc.subject.other | convection-dominated regime | eng |
dc.subject.other | discontinuous Galerkin finite element method | eng |
dc.subject.other | reduction of spurious oscillations | eng |
dc.subject.other | post-processing approaches | eng |
dc.subject.other | slope limiters | eng |
dc.title | On reducing spurious oscillations in discontinuous Galerkin (DG) methods for steady-state convection-diffusion-reaction equations | 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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