Stabilization mechanisms in discontinuous Galerkin finite element methods
In this paper we propose a new general framework for the construction and the analysis of discontinuous Galerkin (DG) methods which reveals a basic mechanism, responsible for certain distinctive stability properties of DG methods. We show that this mechanism is common to apparently unrelated stabili...
| Main Authors: | , , , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2006
|
| _version_ | 1797060857687965696 |
|---|---|
| author | Brezzi, F Cockburn, B Marini, L Suli, E |
| author_facet | Brezzi, F Cockburn, B Marini, L Suli, E |
| author_sort | Brezzi, F |
| collection | OXFORD |
| description | In this paper we propose a new general framework for the construction and the analysis of discontinuous Galerkin (DG) methods which reveals a basic mechanism, responsible for certain distinctive stability properties of DG methods. We show that this mechanism is common to apparently unrelated stabilizations, including jump penalty, upwinding, and Hughes-Franca type residual-based stabilizations. © 2005 Elsevier B.V. All rights reserved. |
| first_indexed | 2024-03-06T20:22:51Z |
| format | Journal article |
| id | oxford-uuid:2e6cb1a8-c786-475c-8e66-75dd6b3efa68 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:22:51Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | oxford-uuid:2e6cb1a8-c786-475c-8e66-75dd6b3efa682022-03-26T12:48:49ZStabilization mechanisms in discontinuous Galerkin finite element methodsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2e6cb1a8-c786-475c-8e66-75dd6b3efa68EnglishSymplectic Elements at Oxford2006Brezzi, FCockburn, BMarini, LSuli, EIn this paper we propose a new general framework for the construction and the analysis of discontinuous Galerkin (DG) methods which reveals a basic mechanism, responsible for certain distinctive stability properties of DG methods. We show that this mechanism is common to apparently unrelated stabilizations, including jump penalty, upwinding, and Hughes-Franca type residual-based stabilizations. © 2005 Elsevier B.V. All rights reserved. |
| spellingShingle | Brezzi, F Cockburn, B Marini, L Suli, E Stabilization mechanisms in discontinuous Galerkin finite element methods |
| title | Stabilization mechanisms in discontinuous Galerkin finite element methods |
| title_full | Stabilization mechanisms in discontinuous Galerkin finite element methods |
| title_fullStr | Stabilization mechanisms in discontinuous Galerkin finite element methods |
| title_full_unstemmed | Stabilization mechanisms in discontinuous Galerkin finite element methods |
| title_short | Stabilization mechanisms in discontinuous Galerkin finite element methods |
| title_sort | stabilization mechanisms in discontinuous galerkin finite element methods |
| work_keys_str_mv | AT brezzif stabilizationmechanismsindiscontinuousgalerkinfiniteelementmethods AT cockburnb stabilizationmechanismsindiscontinuousgalerkinfiniteelementmethods AT marinil stabilizationmechanismsindiscontinuousgalerkinfiniteelementmethods AT sulie stabilizationmechanismsindiscontinuousgalerkinfiniteelementmethods |