Superapproximation of the partial derivatives in the space of linear triangular and bilinear quadrilateral finite elements

Dalík, Josef. "Superapproximation of the partial derivatives in the space of linear triangular and bilinear quadrilateral finite elements." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2013. 57-62. <http://eudml.org/doc/271375>.

@inProceedings{Dalík2013,
abstract = {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.},
author = {Dalík, Josef},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {superconvergence; finite element method},
location = {Prague},
pages = {57-62},
publisher = {Institute of Mathematics AS CR},
title = {Superapproximation of the partial derivatives in the space of linear triangular and bilinear quadrilateral finite elements},
url = {http://eudml.org/doc/271375},
year = {2013},
}

TY - CLSWK
AU - Dalík, Josef
TI - Superapproximation of the partial derivatives in the space of linear triangular and bilinear quadrilateral finite elements
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 57
EP - 62
AB - 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.
KW - superconvergence; finite element method
UR - http://eudml.org/doc/271375
ER -