Derivation of a rectangular finite element for potential problems from consistency criteria

Peter Bettess; Omar Laghrouche

doi:10.1002/(SICI)1099-0887(199801)14:1<35::AID-CNM135>3.0.CO;2-X

Derivation of a rectangular finite element for potential problems from consistency criteria

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Abstract

This short paper demonstrates how the matrix for a 4-node potential finite element can be derived from the conditions of 'rigid body movement',dagger symmetry and consistency, and the requirement that the element solve exactly the case of phi = xy. This derivation is intended to be a simple illustration of the ideas of Bergan and others. (C) 1998 John Wiley & Sons, Ltd.

Original language	English
Pages (from-to)	35-42
Number of pages	8
Journal	International Journal for Numerical Methods in Biomedical Engineering
Volume	14
Issue number	1
DOIs	https://doi.org/10.1002/(SICI)1099-0887(199801)14:1<35::AID-CNM135>3.0.CO;2-X
Publication status	Published - Jan 1998

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10.1002/(SICI)1099-0887(199801)14:1<35::AID-CNM135>3.0.CO;2-X

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AB - This short paper demonstrates how the matrix for a 4-node potential finite element can be derived from the conditions of 'rigid body movement',dagger symmetry and consistency, and the requirement that the element solve exactly the case of phi = xy. This derivation is intended to be a simple illustration of the ideas of Bergan and others. (C) 1998 John Wiley & Sons, Ltd.

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JO - International Journal for Numerical Methods in Biomedical Engineering

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Derivation of a rectangular finite element for potential problems from consistency criteria

Abstract

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