Superconvergence for the Raviart-Thomas Mixed Finite Element
Jia-fu Lin
Abstract
Jia-fu Lin
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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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