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A Proof of the Stability of the Spectral Difference Method for All Orders of Accuracy
Spectral Difference Method Accuracy
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2015/6/23
One of the most promising approaches is the
Discontinuous Galerkin (DG) method, for which the theoretical basis has been provided in
a series of papers by Cockburn and Shu [1, 2, 3, 4]. The rapid gr...
METHODS FOR IMPROVING APPROXIMATE ACCURACY FOR HYPERBOLIC INTEGRODIFFERENTIAL EQUATIONS
Integrodifferential equations extrapola
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2007/12/10
摘要 In this paper we study the higher accuracy methods-the extrapolation and defect correction for the semidiscrete Galerkin approximations to the solutions of hyperbolic integrodifferential equations....
HIGH ACCURACY ANALYSIS FOR FIRST ORDER HYPERBOLIC EQUATIONS BY PETROV-GALERKIN METHODS
Petrov-Galerldn methods global supercon
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2007/8/7
In this paper we employ the Petrov-Galerbo method for the first order hyperbolic problems to get the Galerkin approtoation of high accuracy by means of the interpolation postprocessing, extrapolation ...
A HIGH ACCURACY ANALYSIS OF THE MIXED FINITE ELEMENT METHOD FOR BIHARMONIC EQUATIONS
Biharmonic equation mixed finite element
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2007/8/7
In this paper, the linear mixed finite element method is considered for the biharmonic Dirichlet boundary value problem. Almost optimal error estimates, superconvergence estimates and the derivative e...