A dual-dual mixed formulation for nonlinear exterior transmission problems (Q2723523)
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scientific article; zbMATH DE number 1614793
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A dual-dual mixed formulation for nonlinear exterior transmission problems |
scientific article; zbMATH DE number 1614793 |
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A dual-dual mixed formulation for nonlinear exterior transmission problems (English)
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5 July 2001
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mixed finite elements
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nonlinear elliptic problem
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exterior problem
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error bounds
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This paper analyzes a mixed finite-element method for a nonlinear, exterior elliptic equation in the plane. The problem is linear outside a bounded subset, and the domain is truncated by the use of a Dirichlet-to-Neumann map on a large circle in the linear region. It is shown that the Babuska-Brezzi theory extends to this problem, and this theory is used to obtain error bounds for Raviart-Thomas finite elements.
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