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...
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2013 |
| Country: | España |
| Institution: | Basque Center for Applied Mathematics (BCAM) |
| Repository: | BIRD. BCAM's Institutional Repository Data |
| OAI Identifier: | oai:bird.bcamath.org:20.500.11824/631 |
| Online Access: | http://hdl.handle.net/20.500.11824/631 |
| Access Level: | Open access |
| Keyword: | Discrete maximum principle Edge singularity Finite element method Local refinement Mesh adaptivity Nonobtuse tetrahedron Reentrant corner |
| Summary: | 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. |
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