Mathematica implementation of the high order finite element method applied to eigenproblems
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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.
|Journal||COMPUTING: ARCHIVES FOR SCIENTIFIC COMPUTING|
|Publication status||Published - May 2013|
|MoE publication type||A1 Journal article-refereed|
- A posteriori error estimates, Eigenvalue problem, Finite element method