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ON THE FINITE VOLUME ELEMENT VERSION OF RITZ-VOLTERRA PROJECTION AND APPLICATIONS TO RELATED EQUATIONS

ON THE FINITE VOLUME ELEMENT VERSION OF RITZ-VOLTERRA PROJECTION AND APPLICATIONS TO RELATED EQUATIONS
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摘要 Presents a study that applied a general error analysis framework for the finite volume element (FVE) approximation to the Ritz-Volterra projection, the Sobolev equations and parabolic integro-differential equations. Formulation of the FVE methods in linear finite element spaces defined on a triangulation; Information on the L[sub2] and H1 norm error estimates; Approximations to Sobolev equations and parabolic integro-differential equations. Presents a study that applied a general error analysis framework for the finite volume element (FVE) approximation to the Ritz-Volterra projection, the Sobolev equations and parabolic integro-differential equations. Formulation of the FVE methods in linear finite element spaces defined on a triangulation; Information on the L[sub2] and H1 norm error estimates; Approximations to Sobolev equations and parabolic integro-differential equations.
出处 《Journal of Computational Mathematics》 SCIE EI CSCD 2002年第5期491-504,共14页 计算数学(英文)
关键词 finite volume element Ritz-Volterra projection integro-differential equations error analysis finite volume element Ritz-Volterra projection integro-differential equations error analysis
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参考文献3

  • 1Zhiqiang Cai.On the finite volume element method[J].Numerische Mathematik.1990(1)
  • 2W. Hackbusch.On first and second order box schemes[J].Computing.1989(4)
  • 3J. R. Cannon,Y. Lin.Non-classicalH 1 projection and Galerkin methods for non-linear parabolic integro-differential equations[J].Calcolo.1988(3)

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