Numerical Analysis and Its Applications
Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes
Journal of Computational and Applied Mathematics
A dihedral acute triangulation of the cube
Computational Geometry: Theory and Applications
Acute triangulations of polyhedra and the Euclidean space
Proceedings of the twenty-sixth annual symposium on Computational geometry
SIAM Journal on Scientific Computing
Obtuse triangle suppression in anisotropic meshes
Computer Aided Geometric Design
SIAM Journal on Numerical Analysis
There are only two nonobtuse binary triangulations of the unit n-cube
Computational Geometry: Theory and Applications
Computational Geometry: Theory and Applications
The optimal refinement strategy for 3-D simplicial meshes
Computers & Mathematics with Applications
Computational issues of generalized fiducial inference
Computational Statistics & Data Analysis
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This paper surveys some results on acute and nonobtuse simplices and associated spatial partitions. These partitions are relevant in numerical mathematics, including piecewise polynomial approximation theory and the finite element method. Special attention is paid to a basic type of nonobtuse simplices called path-simplices, the generalization of right triangles to higher dimensions. In addition to applications in numerical mathematics, we give examples of the appearance of acute and nonobtuse simplices in other areas of mathematics.