A discontinuous Galerkin method combined with mixed finite element for seawater intrusion problem (Q625679)
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scientific article; zbMATH DE number 5857562
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A discontinuous Galerkin method combined with mixed finite element for seawater intrusion problem |
scientific article; zbMATH DE number 5857562 |
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A discontinuous Galerkin method combined with mixed finite element for seawater intrusion problem (English)
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25 February 2011
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The authors consider the seawater intrusion problem. Its is a nonlinear coupled system of PDE with initial boundary condition. This system consists of the water head equation and the salt concentration equation. A combined method is developed to approximate the water head equation by mixed FE method and concentration equation by discontinuous Galerkin method. An optimal order estimate for the error in \({\mathcal H}'\)-norm and \({\mathcal L}^2\)-norm is obtained.
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discontinuous Galerkin method
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mixed finite element
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seawater intrusion problem
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