A mixed finite element method with Lagrange multipliers for nonlinear exterior transmission problems (Q1424369)
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scientific article; zbMATH DE number 2055241
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A mixed finite element method with Lagrange multipliers for nonlinear exterior transmission problems |
scientific article; zbMATH DE number 2055241 |
Statements
A mixed finite element method with Lagrange multipliers for nonlinear exterior transmission problems (English)
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11 March 2004
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The authors are concerned with a mixed finite element method for the numerical solution of a nonlinear exterior domain problem. The approach is based on a mixed variational formulation of a nonlocal boundary value problem on a bounded domain that can be derived from the original one by means of a Dirichlet-to-Neumann mapping related to the associated boundary integral equation. The discretization of the resulting two-fold saddle point problem is taken care of by Raviart-Thomas elements. Both a priori error estimates and Bank-Weiser type a posteriori error estimates are provided.
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mixed finite elements
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Lagrange multipliers
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nonlinear exterior problem
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boundary equation
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saddle point problem
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Raviart-Thomas elements
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error estimates
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