Abstract | ||
---|---|---|
This paper surveys some results on acute and nonobtuse simplices and associated spatial partitions. These partitions are relevant in numerical mathematics, including piecewise polynomial approximation theory and the finite element method. Special attention is paid to a basic type of nonobtuse simplices called path-simplices, the generalization of right triangles to higher dimensions. In addition to applications in numerical mathematics, we give examples of the appearance of acute and nonobtuse simplices in other areas of mathematics. |
Year | DOI | Venue |
---|---|---|
2009 | 10.1137/060669073 | SIAM Review |
Keywords | DocType | Volume |
basic type,numerical mathematics,special attention,finite element method,piecewise polynomial approximation theory,right triangle,nonobtuse simplex,paper survey,nonobtuse simplicial partitions,spatial partition,higher dimension,spatial partitioning | Journal | 51 |
Issue | ISSN | Citations |
2 | 0036-1445 | 36 |
PageRank | References | Authors |
2.27 | 21 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jan Brandts | 1 | 54 | 5.96 |
Sergey Korotov | 2 | 188 | 29.62 |
Michal Křížek | 3 | 91 | 15.53 |
Jakub Šolc | 4 | 36 | 2.61 |