Name
Title | ||
|---|---|---|
On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions |
Abstract | ||
|---|---|---|
In this note we examine several regularity criteria for families of simplicial finite element partitions in R^d,d@?{2,3}. These are usually required in numerical analysis and computer implementations. We prove the equivalence of four different definitions of regularity often proposed in the literature. The first one uses the volume of simplices. The others involve the inscribed and circumscribed ball conditions, and the minimal angle condition. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.camwa.2007.11.010 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
finite element method,inscribed ball,numerical analysis,zlámal’s condition,circumscribed ball,tetrahedral finite element partition,computer implementation,different definition,regularity criterion,simplicial finite element partition,circumscribed ball condition,regular family of simplicial partitions,minimal angle condition,finite element | Discrete mathematics,Angle condition,Mathematical analysis,Inscribed figure,Finite element method,Equivalence (measure theory),Numerical analysis,Tetrahedron,Mathematics | Journal |
Volume | Issue | ISSN |
55 | 10 | Computers and Mathematics with Applications |
Citations | PageRank | References |
10 | 1.27 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jan Brandts | 1 | 54 | 5.96 |
| Sergey Korotov | 2 | 188 | 29.62 |
| Michal Kříek | 3 | 33 | 4.40 |