Name
Abstract | ||
|---|---|---|
Mesh adaptation is considered here as the research of an optimum that minimizes the P-1 interpolation error of a function u of R-n given a number of vertices. A continuous modeling is described by considering classes of equivalence between meshes which are analytically represented by a metric tensor field. Continuous metrics are exhibited for L-p error model and mesh order of convergence are analyzed. Numerical examples are provided in two and three dimensions. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1007/978-3-540-34958-7_12 | PROCEEDINGS OF THE 15TH INTERNATIONAL MESHING ROUNDTABLE |
Keywords | Field | DocType |
continuous metric, metric tenser, mesh adaptation, anisotropy, interpolation error, order of convergence | Applied mathematics,Mathematical optimization,Multi dimensional,Polygon mesh,Interpolation error,Vertex (geometry),Computer science,Mesh adaptation,Metric tensor,Equivalence (measure theory),Rate of convergence | Conference |
Citations | PageRank | References |
10 | 1.71 | 4 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Frédéric Alauzet | 1 | 113 | 11.35 |
| Adrien Loseille | 2 | 136 | 12.37 |
| Alain Dervieux | 3 | 27 | 6.12 |
| Pascal J. Frey | 4 | 149 | 17.51 |