| Title:
|
Superapproximation of the partial derivatives in the space of linear triangular and bilinear quadrilateral finite elements (English) |
| Author:
|
Dalík, Josef |
| Language:
|
English |
| Journal:
|
Programs and Algorithms of Numerical Mathematics |
| Volume:
|
Proceedings of Seminar. Dolní Maxov, June 3-8, 2012 |
| Issue:
|
2012 |
| Year:
|
|
| Pages:
|
57-62 |
| . |
| Category:
|
math |
| . |
| Summary:
|
A method for the second-order approximation of the values of partial derivatives of an arbitrary smooth function $u=u(x_1,x_2)$ in the vertices of a conformal and nonobtuse regular triangulation $\mathcal T_h$ consisting of triangles and convex quadrilaterals is described and its accuracy is illustrated numerically. The method assumes that the interpolant $\Pi_h(u)$ in the finite element space of the linear triangular and bilinear quadrilateral finite elements from $\mathcal T_h$ is known only. (English) |
| Keyword:
|
superconvergence |
| Keyword:
|
finite element method |
| MSC:
|
65N30 |
| . |
| Date available:
|
2015-07-08T06:40:26Z |
| Last updated:
|
2023-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702707 |
| . |
