A stabilized mixed finite element method for the biharmonic equation based on biorthogonal systems (Q633971)
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scientific article; zbMATH DE number 5934917
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A stabilized mixed finite element method for the biharmonic equation based on biorthogonal systems |
scientific article; zbMATH DE number 5934917 |
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A stabilized mixed finite element method for the biharmonic equation based on biorthogonal systems (English)
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2 August 2011
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The author proposes a stabilized finite element method for the approximation of the biharmonic equation with a clamped boundary condition. The formulation is obtained by introducing the gradient of the solution of the biharmonic equation as a new unknown and writing an additional variational equation in terms of a Lagrange multiplier. An optimal a priori error estimate for the finite element solution when the mesh is uniformly regular is also given.
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biharmonic equation
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clamped plate
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mixed finite element method
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saddle point problem
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biorthogonal system
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optimal a priori error estimate
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stabilization
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