On the optimal setting of the h p -version of the finite element method

Chleboun, Jan

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 45-50

Abstract

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The goal of this contribution is to find the optimal finite element space for solving a particular boundary value problem in one spatial dimension. In other words, the optimal use of available degrees of freedom is sought after. This is done through optimizing both the mesh and the polynomial degree of the basis functions. The resulting combinatorial optimization problem is solved in parallel by a Matlab program running on a cluster of multi-core personal computers.

How to cite

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Chleboun, Jan. "On the optimal setting of the $hp$-version of the finite element method." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2013. 45-50. <http://eudml.org/doc/271261>.

@inProceedings{Chleboun2013,
abstract = {The goal of this contribution is to find the optimal finite element space for solving a particular boundary value problem in one spatial dimension. In other words, the optimal use of available degrees of freedom is sought after. This is done through optimizing both the mesh and the polynomial degree of the basis functions. The resulting combinatorial optimization problem is solved in parallel by a Matlab program running on a cluster of multi-core personal computers.},
author = {Chleboun, Jan},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {$hp$-FEM; optimal parameters},
location = {Prague},
pages = {45-50},
publisher = {Institute of Mathematics AS CR},
title = {On the optimal setting of the $hp$-version of the finite element method},
url = {http://eudml.org/doc/271261},
year = {2013},
}

TY - CLSWK
AU - Chleboun, Jan
TI - On the optimal setting of the $hp$-version of the finite element method
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 45
EP - 50
AB - The goal of this contribution is to find the optimal finite element space for solving a particular boundary value problem in one spatial dimension. In other words, the optimal use of available degrees of freedom is sought after. This is done through optimizing both the mesh and the polynomial degree of the basis functions. The resulting combinatorial optimization problem is solved in parallel by a Matlab program running on a cluster of multi-core personal computers.
KW - $hp$-FEM; optimal parameters
UR - http://eudml.org/doc/271261
ER -

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