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Tunable integration scheme for the finite element method

✍ Scribed by A. Bondeson; G.Y. Fu

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
872 KB
Volume
66
Category
Article
ISSN
0010-4655

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✦ Synopsis

A discretization method is proposed where a tunable integration scheme is applied to the finite element method (FEM). The method is characterized by one continuous parameter, p. A theoretical error analysis is given and three different eigenvalue problems are used as test cases: a simple example with constant coefficients and two model problems from ideal and resistive magnetohydrodynamics. It is shown that, for judicious choices of p, the tunable integration method clearly improves the convergence of the strict FEM. The sensitivity to the choice of integration parameter is discussed.

πŸ“œ SIMILAR VOLUMES

Finite element integration for the contr
Finite element integration for the control volume method
✍ Neises, JΓΌrgen ;Steinbach, Ingo πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 869 KB

Together with the finite element method ( E M ) , the control volume method (CVM) is of particular interest for the numerical solution of partial differential equations. The accuracy of computation of the CVM almost matches that of FEM in contour-adapted co-ordinates or block-structured meshes of a