Local nonobtuse tetrahedral refinements around an edge

0393009 - MÚ 2014 RIV US eng J - Journal Article
Korotov, S. - Křížek, Michal
Local nonobtuse tetrahedral refinements around an edge.
Applied Mathematics and Computation. Roč. 219, č. 13 (2013), s. 7236-7240. ISSN 0096-3003. E-ISSN 1873-5649
R&D Projects: GA AV ČR(CZ) IAA100190803
Institutional research plan: CEZ:AV0Z10190503
Keywords : finite element method * nonobtuse tetrahedron * local refinement
Subject RIV: BA - General Mathematics
Impact factor: 1.600, year: 2013
http://www.sciencedirect.com/science/article/pii/S0096300311005236

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.
Permanent Link: http://hdl.handle.net/11104/0221768