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

@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 -