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Title: On the optimal setting of the $hp$-version of the finite element method (English)
Author: Chleboun, Jan
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Dolní Maxov, June 3-8, 2012
Issue: 2012
Pages: 45-50
Category: math
Summary: 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. (English)
Keyword: $hp$-FEM
Keyword: optimal parameters
MSC: 65K10
MSC: 65N30
Date available: 2015-07-08T06:39:54Z
Last updated: 2016-05-17
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