The minimum angle condition for $d$-simplices
arXiv:1812.058742 citationsh-index: 21
Originality Synthesis-oriented
AI Analysis
Provides a theoretical foundation for mesh quality in higher-dimensional finite element analysis, but is incremental as it extends known concepts.
The paper generalizes the minimum angle condition from planar triangulations to d-dimensional simplicial meshes and proves its equivalence with other mesh regularity conditions.
In this note we present a natural generalization of the minimum angle condition, commonly used in the finite element analysis for planar triangulations, to the case of simplicial meshes in any space dimension. The equivalence of this condition with some other mesh regularity conditions is proved.