Strongly regular family of boundary-fitted tetrahedral meshes of bounded C 2 domains
| Autor: | Radim Hošek |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Discrete mathematics
Sequence Similarity (geometry) Constructive proof Applied Mathematics Boundary (topology) 010103 numerical & computational mathematics 02 engineering and technology 01 natural sciences Domain (mathematical analysis) Bounded function 0202 electrical engineering electronic engineering information engineering Tetrahedron 5-cell 020201 artificial intelligence & image processing 0101 mathematics Mathematics |
| Zdroj: | Applications of Mathematics. 61:233-251 |
| ISSN: | 1572-9109 0862-7940 |
| DOI: | 10.1007/s10492-016-0130-1 |
| Popis: | We give a constructive proof that for any bounded domain of the class C2 there exists a strongly regular family of boundary-fitted tetrahedral meshes. We adopt a refinement technique introduced by Křižek and modify it so that a refined mesh is again boundary-fitted. An alternative regularity criterion based on similarity with the Sommerville tetrahedron is used and shown to be equivalent to other standard criteria. The sequence of regularities during the refinement process is estimated from below and shown to converge to a positive number by virtue of the convergence of q-Pochhammer symbol. The final result takes the form of an implication with an assumption that can be obviously fulfilled for any bounded C2 domain. |
| Databáze: | OpenAIRE |
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