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

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Mathematica implementation of the high order finite element method applied to eigenproblems. / Hakula, Harri; Tuominen, Tomi.

In: COMPUTING: ARCHIVES FOR SCIENTIFIC COMPUTING, Vol. 95, No. SUPPL.1, 05.2013.

Research output: Scientific - peer-reviewArticle

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Hakula, Harri; Tuominen, Tomi / Mathematica implementation of the high order finite element method applied to eigenproblems.

In: COMPUTING: ARCHIVES FOR SCIENTIFIC COMPUTING, Vol. 95, No. SUPPL.1, 05.2013.

Research output: Scientific - peer-reviewArticle

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@article{83672c492f8d4ee3a65960beacd9aa5c,
title = "Mathematica implementation of the high order finite element method applied to eigenproblems",
keywords = "A posteriori error estimates, Eigenvalue problem, Finite element method",
author = "Harri Hakula and Tomi Tuominen",
year = "2013",
month = "5",
doi = "10.1007/s00607-012-0262-4",
volume = "95",
journal = "COMPUTING: ARCHIVES FOR SCIENTIFIC COMPUTING",
issn = "0010-485X",
number = "SUPPL.1",

}

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TY - JOUR

T1 - Mathematica implementation of the high order finite element method applied to eigenproblems

AU - Hakula,Harri

AU - Tuominen,Tomi

PY - 2013/5

Y1 - 2013/5

N2 - 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. © 2013 Springer-Verlag Wien.

AB - 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. © 2013 Springer-Verlag Wien.

KW - A posteriori error estimates

KW - Eigenvalue problem

KW - Finite element method

UR - http://www.scopus.com/inward/record.url?scp=84900657210&partnerID=8YFLogxK

U2 - 10.1007/s00607-012-0262-4

DO - 10.1007/s00607-012-0262-4

M3 - Article

VL - 95

JO - COMPUTING: ARCHIVES FOR SCIENTIFIC COMPUTING

T2 - COMPUTING: ARCHIVES FOR SCIENTIFIC COMPUTING

JF - COMPUTING: ARCHIVES FOR SCIENTIFIC COMPUTING

SN - 0010-485X

IS - SUPPL.1

ER -

ID: 12919957