Tiling space and slabs with acute tetrahedra
Computational Geometry: Theory and Applications
Texture transfer during shape transformation
ACM Transactions on Graphics (TOG)
The 8-tetrahedra longest-edge partition of right-type tetrahedra
Finite Elements in Analysis and Design
On discrete maximum principles for nonlinear elliptic problems
Mathematics and Computers in Simulation
On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions
Computers & Mathematics with Applications
Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes
Journal of Computational and Applied Mathematics
Global and local refinement techniques yielding nonobtuse tetrahedral partitions
Computers & Mathematics with Applications
The 8-tetrahedra longest-edge partition of right-type tetrahedra
Finite Elements in Analysis and Design
A discrete maximum principle for nonlinear elliptic systems with interface conditions
LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing
The optimal refinement strategy for 3-D simplicial meshes
Computers & Mathematics with Applications
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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.