$hp$-anisotropic mesh adaptation technique based on interpolation error estimates

Dolejší, Vít. "$hp$-anisotropic mesh adaptation technique based on interpolation error estimates." Applications of Mathematics 2013. Prague: Institute of Mathematics AS CR, 2013. 32-41. <http://eudml.org/doc/287772>.

@inProceedings{Dolejší2013,
abstract = {We present a completely new $hp$-anisotropic mesh adaptation technique for the numerical solution of partial differential equations with the aid of a discontinuous piecewise polynomial approximation. This approach generates general anisotropic triangular grids and the corresponding degrees of polynomial approximation based on the minimization of the interpolation error. We develop the theoretical background of this approach and present a numerical example demonstrating the efficiency of this anisotropic strategy in comparison with an isotropic one.},
author = {Dolejší, Vít},
booktitle = {Applications of Mathematics 2013},
keywords = {mesh generation; anisotropic mesh; convection-diffusion equation; interpolation error estimates; numerical example},
location = {Prague},
pages = {32-41},
publisher = {Institute of Mathematics AS CR},
title = {$hp$-anisotropic mesh adaptation technique based on interpolation error estimates},
url = {http://eudml.org/doc/287772},
year = {2013},
}

TY - CLSWK
AU - Dolejší, Vít
TI - $hp$-anisotropic mesh adaptation technique based on interpolation error estimates
T2 - Applications of Mathematics 2013
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 32
EP - 41
AB - We present a completely new $hp$-anisotropic mesh adaptation technique for the numerical solution of partial differential equations with the aid of a discontinuous piecewise polynomial approximation. This approach generates general anisotropic triangular grids and the corresponding degrees of polynomial approximation based on the minimization of the interpolation error. We develop the theoretical background of this approach and present a numerical example demonstrating the efficiency of this anisotropic strategy in comparison with an isotropic one.
KW - mesh generation; anisotropic mesh; convection-diffusion equation; interpolation error estimates; numerical example
UR - http://eudml.org/doc/287772
ER -