Local nonobtuse tetrahedral refinements around an edge

In this note we show how to generate and conformly refine nonobtuse tetrahedral meshes locally around and towards an edge so that all dihedral angles of all resulting tetrahedra remain nonobtuse. The proposed technique can be used e.g. for a numerical treatment of solution singularities, and also fo...

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Detalles Bibliográficos
Autores: Korotov, S., Křížek, M.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2013
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/631
Acceso en línea:http://hdl.handle.net/20.500.11824/631
Access Level:acceso abierto
Palabra clave:Discrete maximum principle
Edge singularity
Finite element method
Local refinement
Mesh adaptivity
Nonobtuse tetrahedron
Reentrant corner
Descripción
Sumario:In this note we show how to generate and conformly refine nonobtuse tetrahedral meshes locally around and towards an edge so that all dihedral angles of all resulting tetrahedra remain nonobtuse. The proposed technique can be used e.g. for a numerical treatment of solution singularities, and also for various mesh adaptivity procedures, near the reentrant corners of cylindric-type 3D domains.