Global and local refinement techniques yielding nonobtuse tetrahedral partitions
A tetrahedron is said to be a path tetrahedron if its three edges, which do not meet at the same vertex are mutually orthogonal. The authors state a set of conditions on a tetrahedron \( T \) which ensures the existence of a family of partitions of \( T \) consisting of path tetrahedrons only [see \textit{M. Krizek} and \textit{J. Pradlova}, Numer. Methods Partial Differ. Equations 16, 327--334 (2000; Zbl 0957.65012)]. Considering a path tetrahedron \( ABCD \) such that the edges \( AB, BC \) and \( CD \) are mutually orthogonal, the authors prove that there exists an infinite family of nonobtuse partitions of it into path tetrahedra that locally refine \( ABCD \) in a neighbourhood of the vertex \( A \).
scientific article; zbMATH DE number 5006948
scientific article