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GLOBAL SUPERCONVERGENCE ANALYSIS OF WILSON ELEMENT FOR SOBOLEV AND VISCOELASTICITY TYPE EQUATIONS 被引量:7

GLOBAL SUPERCONVERGENCE ANALYSIS OF WILSON ELEMENT FOR SOBOLEV AND VISCOELASTICITY TYPE EQUATIONS
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摘要 In this paper the Wilson nonconforming finite element is employed to solve Sobolev and viscoelasticity type equations. By means of post-processing technique, global superconvergence estimates are obtained for quasi-uniform rectangular meshes. Finally, an error correction scheme is presented.
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2004年第4期452-463,共12页 系统科学与复杂性学报(英文版)
关键词 wilson finite element post-processing method global superconvergence errorcorrection Wilson有限元 后处理方法 全局超收敛性 误差修正 粘弹型方程
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参考文献13

  • 1O. C. Zienkiewicz, The Finite Element Method, 3rd ed, McGraw-Hill, New York, 1977.
  • 2P. G. Ciarlet, The Finite Element Method for Elliptic Problems, North-Holland, 1978.
  • 3Ewing, R., The approximation of certain parabolic equations backward in time by Sobolev equations, SIAM J. Math. Anal., 1975, 6: 283-294.
  • 4Ewing, R., Numerical solution of Sobolev partial differential equations, SlAM J. Numer. Anal.,1975, 12: 345-363.
  • 5Ford, W., Galerkin approximation to nonlinear pseudoparabolic partial differential equation, Aequations Math., 1976, 14: 271-291.
  • 6Ford, W. and Ting T., Stability and convergence of difference approximations to pseudoparabolic partial equations, Math. Comp., 1973, 27: 737-743.
  • 7Ford, W. and Ting T., Uniform error estimates for difference approximations to nonlinear pseudoparabolic partial differential equations, SIAM J. Numer. Anal., 1974, 11: 155-169.
  • 8Nakao, M., Error estimates of a Galerkin method for some nonlinear Sobolev equations in one space dimension, Numer. Math., 1985, 47: 139-157.
  • 9Wahlbin, L., Error estimates for a Galerkin method for a class of model equations for long waves,Numer. Math., 1975, 23: 289-303.
  • 10Q. Lin and S. Zhang, A direct global superconvergence analysis for Sobolev and viscoelasticity type equations, Appl. Math., 1997, 42: 23-34.

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