Dissection of the path-simplex in \(\mathbb {R}^n\) into \(n\) path-subsimplices

DOI10.1016/j.laa.2006.10.010zbMath1112.51006OpenAlexW2157834100MaRDI QIDQ869907

Jan H. Brandts, Sergey Korotov, Michal Křížek

Publication date: 9 March 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2006.10.010

zbMATH Keywords

self-similarityorthoschemeGram matrixdihedral angleacute simplex\(n\)-simplexCoxeter's trisection theoremnon-obtuse simplex

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Polyhedra and polytopes; regular figures, division of spaces (51M20)

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Cites Work

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• Zerlegung von Tetraedern in Orthogonaltetraeder
• Global and local refinement techniques yielding nonobtuse tetrahedral partitions
• Trisecting an orthoscheme
• Optimality of the Delaunay triangulation in \(\mathbb{R}^ d\)
• On the dissection of simplices into orthoschemes
• On qualitative angle properties of simplexes
• The minimum number of acute dihedral angles of a simplex
• Matrices and graphs in Euclidean geometry

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