Korotov, Sergey; Křížek, Michal Acute type refinements of tetrahedral partitions of polyhedral domains. (English) Zbl 1069.65017 SIAM J. Numer. Anal. 39, No. 2, 724-733 (2001). 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. Cited in 19 Documents 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 Keywords:acute type condition; tetrahedral partitions; polyhedral domain; discrete maximum principle; maximum angle condition; finite element PDFBibTeX XMLCite \textit{S. Korotov} and \textit{M. Křížek}, SIAM J. Numer. Anal. 39, No. 2, 724--733 (2001; Zbl 1069.65017) Full Text: DOI