Circumventing the Babuška-Brezzi condition in mixed finite element approximations of elliptic variational inequalities (Q1205642)
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scientific article; zbMATH DE number 147978
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Circumventing the Babuška-Brezzi condition in mixed finite element approximations of elliptic variational inequalities |
scientific article; zbMATH DE number 147978 |
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Circumventing the Babuška-Brezzi condition in mixed finite element approximations of elliptic variational inequalities (English)
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1 April 1993
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This paper constructs a variational method with additional least squares terms in order to circumvent the Babuška-Brezzi condition. In particular two types of problems are stated to be equivalent subject to the Babuška-Brezzi condition. (The proof is referenced.) The discrete approximations are considered and the resulting formulations are shown to be consistent and convergent.
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elliptic variational inequalities
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finite element method
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Lagrange multipliers
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Galerkin method
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consistency
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convergence
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variational method
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least squares
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Babuška-Brezzi condition
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