Equivalence of Finite Element Methods for Problems in Elasticity | Zendy

Richard S. Falk | Zendy; Mary E. Morley | Zendy

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Equivalence of Finite Element Methods for Problems in Elasticity

Author(s) -

Richard S. Falk,

Mary E. Morley

Publication year - 1990

Publication title -

siam journal on numerical analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.78

H-Index - 134

eISSN - 1095-7170

pISSN - 0036-1429

DOI - 10.1137/0727086

Subject(s) - biharmonic equation , mathematics , elasticity (physics) , finite element method , linear elasticity , equivalence (formal languages) , mathematical analysis , isotropy , boundary value problem , pure mathematics , physics , quantum mechanics , thermodynamics

Modifications of the Morley method for the approximation of the biharmonic equation are obtained from various finite element methods applied to the equations of linear isotropic elasticity and the stationary Stokes equations, by elimination procedures analogous to those used in the continuous case. Problems with Korn’s first inequality for nonconforming $P_1 $ elements and its implications for the approximation of the elasticity equations are also discussed.

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