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OPTIMAL ERROR ESTIMATE IN L~∞(J;L^2(Ω)) NORM OF FEM FOR A MODEL FOR COMPRESSIBLE MISCIBLE DISPLACEMENT IN POROUS MEDIA 被引量：2

OPTIMAL ERROR ESTIMATE IN L~∞(J;L^2(Ω)) NORM OF FEM FOR A MODEL FOR COMPRESSIBLE MISCIBLE DISPLACEMENT IN POROUS MEDIA
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摘要 We’ll study the FEM for a model for compressible miscible displacement in porous media which includes molecular diffusion and mechanical dispersion in one-dimensional space.A class of vertices-edges-elements interpolation operator ink is introduced.With the help of ink(not elliptic projection),the optimal error estimate in L∞(J;L2(Ω)) norm of FEM is proved. We'll study the FEM for a model for compressible miscible displacement in porous media which includes molecular diffusion and mechanical dispersion in one-dimensional space.A class of vertices-edges-elements interpolation operator ink is introduced.With the help of ink(not elliptic projection),the optimal error estimate in L∞(J;L2(Ω)) norm of FEM is proved.
作者 程爱杰
机构地区 Depertment of Mathematics
出处 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 SCIE 1995年第2期222-236,共15页
基金 This research is supported by the Foundation for Talents for Next Century of Shandong University
关键词 Molecular diffusion and mechanical dispersion SINGLE-PHASE displacement Finite element method (FEM) Vertices-edges-elements interpolation Optimal error estimate in L∞(J L2 (Ω)) norm. Molecular diffusion and mechanical dispersion, Single-phase displacement, Finite element method (FEM), Vertices-edges-elements interpolation, Optimal error estimate in L∞(J L2 (Ω)) norm.
分类号 O411.1 [理学—理论物理]
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同被引文献19

  • 1李潜,周所向.MIXED　METHODS　FOR　COMPRESSIBLE　MISCIBLE　DISPLACEMENT　WITH　THE　EFFECT　OF　MOLECULAR　DISPERSION[J].Acta Mathematicae Applicatae Sinica,1995,11(2):123-138. 被引量：2
  • 2Ji-ming Yang Yan-ping Chen.A UNIFIED A POSTERIORI ERROR ANALYSIS FOR DISCONTINUOUS GALERKIN APPROXIMATIONS OF REACTIVE TRANSPORT EQUATIONS[J].Journal of Computational Mathematics,2006,24(3):425-434. 被引量：9
  • 3Shuyu Sun,Mary F. Wheeler.L2(H1 Norm A PosterioriError Estimation for Discontinuous Galerkin Approximations of Reactive Transport Problems[J]. Journal of Scientific Computing . 2005 (1-3)
  • 4Chen Y P,Yang J M.A posteriori error estimation for a fully discrete discontinuous Galerkin approximation to a kind of singularly perturbed problems. Finite Elements in Analysis and Design . 2007
  • 5Cui M R.Analysis of a semidiscrete discontinuous Galerkin scheme for compressible miscible displacement problem. Journal of Computational and Applied Mathematics . 2008
  • 6Dawson C,Sun S,Wheeler M F.Compatible algorithms for coupled flow and transport. Computational Methods in Applied Mathematics . 2004
  • 7Sun S,Rivière B,Wheeler M F.A combined mixed finite element and discontinuous Galerkin method for miscible displacement problem in porous media. Recent Progress in Computational and Applied PDEs . 2002
  • 8Oden JT,Babuska I,Baumann CE.A discontinuous hp finite element method for diffusion problems. Journal of Computational Physics . 1998
  • 9Douglas Jr J,Roberts J E.Numerical methods for a model for compressible miscible displacement in porous media. Mathematics of Computation . 1983
  • 10Babuska,I.,Suri,M.The optimal convergence rate of thep version of the finite element method. SIAM J. N. A . 1987

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Numerical Mathematics A Journal of Chinese Universities(English Series)
1995年 第2期

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