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Journal articles
A vertex-based scheme on polyhedral meshes for advection-reaction equations with sub-mesh stabilization
Abstract : We devise and analyze vertex-based schemes on polyhedral meshes to approximate advection-reaction equations. Error estimates of order 3/2 in the discrete inf-sup stability norm are established. The two key ingredients are a local poly-hedral reconstruction map leaving affine polynomials invariant, and a local design of stabilization whereby gradient jumps are only penalized across some subfaces in the interior of each mesh cell. Numerical results are presented on three-dimensional polyhedral meshes.
Cited literature [25 references]
https://hal.archives-ouvertes.fr/hal-01285957
Contributor : Pierre Cantin <>
Submitted on : Monday, November 28, 2016 - 4:48:44 PM
Last modification on : Tuesday, March 6, 2018 - 3:58:00 PM
Document(s) archivé(s) le : Tuesday, March 21, 2017 - 6:51:22 AM
Contributor : Pierre Cantin <>
Submitted on : Monday, November 28, 2016 - 4:48:44 PM
Last modification on : Tuesday, March 6, 2018 - 3:58:00 PM
Document(s) archivé(s) le : Tuesday, March 21, 2017 - 6:51:22 AM
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