An equilibrium finite element method for fourth order elliptic equations with variable coefficients
type: Item
instance of: scholarly article
title: An equilibrium finite element method for fourth order elliptic equations with variable coefficients
zbMATH Open document ID: 0697.65082
DOI: 10.1016/0898-1221(88)90161-7
publication date: 1988-01-01T00:00:00Z
review text: The present work is devoted to the fourth order Dirichlet problem with variable or constant coefficients on a convex polygon. It follows the lines developed by Fraeijs de Veubeke with regard to the equilibrium finite element method. For bending problems of plates, the method thus developed gives a simultaneous approximation to displacement and bending and twisting moment tensor. The paper includes a result stating that a certain space of functionals, which is known to be unisolvent with respect to the space of symmetric polynomials of degree less or equal than 3, is not unisolvent when the degree is greater or equal than 6, leaving thus open the question with respect to degrees 4 and 5. The closing sections deal with error estimates for the equilibrium finite element solution and illustrative examples of the method.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 35J40
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 4143393
zbMATH Keywords: variable coefficients
zbMATH Keywords: fourth order Dirichlet problem
zbMATH Keywords: equilibrium finite element method
zbMATH Keywords: error estimates
zbMATH Keywords: illustrative examples
author: P. K. Bhattacharyya
author: Sankarappan Gopalsamy
reviewed by: Juan Pedro Milaszewicz
MaRDI profile type: Publication
full work available at URL: 0898-1221(88)90161-7
OpenAlex ID: W2053381472
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published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 4143393