On weak Dirichlet boundary conditions for elliptic problems in the continuous Galerkin method
dc.contributor.author | Vymazal, M | |
dc.contributor.author | Moxey, D | |
dc.contributor.author | Sherwin, S | |
dc.contributor.author | Cantwell, C | |
dc.contributor.author | Kirby, R | |
dc.date.accessioned | 2019-05-30T13:00:52Z | |
dc.date.issued | 2019-05-30 | |
dc.description.abstract | We combine continuous and discontinuous Galerkin methods in the setting of a model diffusion problem. Starting from a hybrid discontinuous formulation, we replace element interiors by more general subsets of the computational domain – groups of elements that support a piecewisepolynomial continuous expansion. This step allows us to identify a new weak formulation of Dirichlet boundary condition in the continuous framework. We show that the boundary condition leads to a stable discretization with a single parameter insensitive to mesh size and polynomial order of the expansion. The robustness of the approach is demonstrated on several numerical examples. | en_GB |
dc.description.sponsorship | European Union Horizon 2020 | en_GB |
dc.description.sponsorship | US National Science Foundation | en_GB |
dc.identifier.citation | Vol. 394, pp. 732-744. | en_GB |
dc.identifier.doi | 10.1016/j.jcp.2019.05.021 | |
dc.identifier.grantnumber | 671571 | en_GB |
dc.identifier.grantnumber | DMS-1521748 | en_GB |
dc.identifier.uri | http://hdl.handle.net/10871/37305 | |
dc.language.iso | en | en_GB |
dc.publisher | Elsevier | en_GB |
dc.relation.url | Navier-Stokes equations | en_GB |
dc.rights.embargoreason | Under embargo until 30 May 2020 in compliance with publisher policy. | en_GB |
dc.rights | © 2019 Elsevier Inc. All rights reserved. | en_GB |
dc.subject | High-order | en_GB |
dc.title | On weak Dirichlet boundary conditions for elliptic problems in the continuous Galerkin method | en_GB |
dc.type | Article | en_GB |
dc.date.available | 2019-05-30T13:00:52Z | |
dc.identifier.issn | 0021-9991 | |
dc.description | This is the author accepted manuscript. The final version is available from Elsevier via the DOI in this record. | en_GB |
dc.identifier.journal | Journal of Computational Physics | en_GB |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | en_GB |
dcterms.dateAccepted | 2019-05-17 | |
rioxxterms.version | AM | en_GB |
rioxxterms.licenseref.startdate | 2019-05-17 | |
rioxxterms.type | Journal Article/Review | en_GB |
refterms.dateFCD | 2019-05-30T07:15:41Z | |
refterms.versionFCD | AM | |
refterms.panel | B | en_GB |
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