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《Chinese Journal of Engineering Mathematics》 2009-04
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A New H~1-Galerkin Mixed Finite Element Method for the Hyperbolic Type Integro-differential Equation

SHI Dong-yang1,WANG Hai-hong2 (1-Deparment of Mathematics,Zhengzhou University,Zhengzhou 450052; 2-College of Computer and Information Engineering,Henan University of Finance and Economics,Zhengzhou 450002)  
A new H1-Galerkin mixed finite element method for hyperbolic type integro-differential equations is studied. It is not necessary for our method to satisfy the discrete LBB condition,and the regularity condition is not necessary for the meshes subdivision. By using a special property of the elements,the error estimates,which are as good as that of the traditional mixed finite element methods,are obtained by the interpolation function without Ritz-Volterra projection. Furthermore,the superclose property is derived for the method. Finally,the corresponding global superconvergence is got by taking the advantage of the technique of the post-processing operator.
【Fund】: 国家自然科学基金(10671184)
【CateGory Index】: O241.82
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