Mathematica implementation of the high order finite element method applied to eigenproblems

Harri Hakula*, Tomi Tuominen

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

7 Citations (Scopus)

Abstract

In this paper an hp-FEM implementation on Mathematica is discussed. FEM-implementations on higher-level programming platforms are useful for prototyping new algorithms and ideas, but also serve as testing ground for interesting programming techniques. Here, an hp-adaptive algorithm for eigenproblems, and the use of precomputed data and generation of highly graded hp-meshes, are examples of the former and latter, respectively. The performance of the code is evaluated in relation to a suite of benchmark problems for the Laplacian and thin solids in elasticity.

Original languageEnglish
JournalCOMPUTING: ARCHIVES FOR SCIENTIFIC COMPUTING
Volume95
Issue numberSUPPL.1
DOIs
Publication statusPublished - May 2013
MoE publication typeA1 Journal article-refereed

Keywords

  • A posteriori error estimates
  • Eigenvalue problem
  • Finite element method

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