A new family of stable elements for nearly incompressible elasticity based on a mixed Petrov-Galerkin finite element formulation (Q1110383)
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scientific article; zbMATH DE number 4072522
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new family of stable elements for nearly incompressible elasticity based on a mixed Petrov-Galerkin finite element formulation |
scientific article; zbMATH DE number 4072522 |
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A new family of stable elements for nearly incompressible elasticity based on a mixed Petrov-Galerkin finite element formulation (English)
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1988
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This paper presents a mixed Petrov-Galerkin finite element method for the Hellinger-Reissner principle. The usual isoparametric elements can be used and the equal-order interpolation is shown to be stable within the present method. Numerical examples are given.
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residual form of equilibrium equation
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stable for general combinations of stress and displacement interpolations
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error estimates
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Babuška- Brezzi theory
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Hellinger-Reissner principle
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isoparametric elements
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equal-order interpolation
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