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Acute type refinements of tetrahedral partitions of polyhedral domains. (English) Zbl 1069.65017

Summary: We present a new technique to perform refinements on acute type tetrahedral partitions of a polyhedral domain, provided that the center of the circumscribed sphere around each tetrahedron belongs to the tetrahedron. The resulting family of partitions is of acute type; thus, all the tetrahedra satisfy the maximum angle condition. Both these properties are highly desirable in finite element analysis.

MSC:

65D18 Numerical aspects of computer graphics, image analysis, and computational geometry
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
51M20 Polyhedra and polytopes; regular figures, division of spaces
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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