| Title:
|
Stability of quadratic interpolation polynomials in vertices of triangles without obtuse angles (English) |
| Author:
|
Dalík, Josef |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
35 |
| Issue:
|
4 |
| Year:
|
1999 |
| Pages:
|
285-297 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
An explicit description of the basic Lagrange polynomials in two variables related to a six-tuple $a^1,\dots ,a^6$ of nodes is presented. Stability of the related Lagrange interpolation is proved under the following assumption: $a^1,\dots ,a^6$ are the vertices of triangles $T_1,\dots ,T_4$ without obtuse inner angles such that $T_1$ has one side common with $T_j$ for $j=2,3,4$. (English) |
| Keyword:
|
quadratic Lagrange interpolation in 2D |
| Keyword:
|
stability |
| MSC:
|
41A05 |
| MSC:
|
41A10 |
| MSC:
|
41A63 |
| MSC:
|
65D05 |
| idZBL:
|
Zbl 1051.41002 |
| idMR:
|
MR1744516 |
| . |
| Date available:
|
2008-06-06T22:23:55Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107703 |
| . |
| Reference:
|
[1] Dalík, J.: Quadratic interpolation polynomials in vertices of strongly regular triangulations.in Finite Element Methods, superconvergence, post-processing and a posteriori estimates, Ed. Křižek, Neittaanmäki, Stenberg, Marcel Dekker (1996), 85–95. MR 1602833 |
| Reference:
|
[2] Sauer, T., Xu, Y.: On multivariate Lagrange interpolation.Math. of Comp. 64 (1995), 1147–1170. MR 1297477 |
| . |
