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.

EUDML-ID : urn:eudml:doc:271261
Mots clés:
Mots clés:

@article{702705,
     title = {On the optimal setting of the $hp$-version of the finite element method},
     booktitle = {Programs and Algorithms of Numerical Mathematics},
     series = {GDML\_Books},
     publisher = {Institute of Mathematics AS CR},
     address = {Prague},
     year = {2013},
     pages = {45-50},
     url = {http://dml.mathdoc.fr/item/702705}
}

Chleboun, Jan. On the optimal setting of the $hp$-version of the finite element method, dans Programs and Algorithms of Numerical Mathematics, GDML_Books,  (2013), pp. 45-50. http://gdmltest.u-ga.fr/item/702705/