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 38, 2012 
Issue:

2012 
Year:


Pages:

5762 
. 
Category:

math 
. 
Summary:

A method for the secondorder 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:

20150708T06:40:26Z 
Last updated:

20150708 
Stable URL:

http://hdl.handle.net/10338.dmlcz/702707 
. 