2006Mathematica ApplicataRequires access

Superconvergence for the Raviart-Thomas Mixed Finite Element

Jia-fu Lin

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Abstract

Superconvergence of the k -th Raviart-Thomas mixed finite element for the second order Dirichlet boundary value problem is considered on the regular rectangular meshes.The convergence rate can be increased by two orders compared with the ordinary optimal error estimation by the interpolated postprocessing technique.

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What this paper is about

Superconvergence of the k -th Raviart-Thomas mixed finite element for the second order Dirichlet boundary value problem is considered on the regular rectangular meshes.The convergence rate can be increased by two orders compared with the ordinary optimal error estimation by the interpolated postprocessing technique.

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Available abstract

Superconvergence of the k -th Raviart-Thomas mixed finite element for the second order Dirichlet boundary value problem is considered on the regular rectangular meshes.The convergence rate can be increased by two orders compared with the ordinary optimal error estimation by the interpolated postprocessing technique.

Key concepts: Superconvergence, Mathematics, Finite element method, Rate of convergence, Applied mathematics, Convergence (economics), Boundary value problem, Polygon mesh

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