Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640282 | Journal of Computational and Applied Mathematics | 2010 | 9 Pages |
Abstract
We construct symmetric polar WAMs (weakly admissible meshes) with low cardinality for least-squares polynomial approximation on the disk. These are then mapped to an arbitrary triangle. Numerical tests show that the growth of the least-squares projection uniform norm is much slower than the theoretical bound, and even slower than that of the Lebesgue constant of the best known interpolation points for the triangle. As opposed to good interpolation points, such meshes are straightforward to compute for any degree. The construction can be extended to polygons by triangulation.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Len Bos, Alvise Sommariva, Marco Vianello,