SUPERCONVERGENCE OF THE FULL-DISCRETE F.E.M. FOR COMPRESSIBLE MISCIBLE DISPLACEMENT: THE FULL TENSOR CASE |
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Authors: | Cheng Yanping |
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Institution: | Department of Mathematics, Nanjing University, Nanjing 210008, PRC./Institute of Comp. & Appl. Math., Xiangtan University, Xiangtan 411105 PRC |
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Abstract: | An efficient time-stepping procedure is proposed to treat the system describing compressible miscible displacement in a porous medium by employing a mixed finite element method to approximate the pressure and the fluid velocity and a standard Galerkin method to approximate the concentration. An extension of the Darcy velocity along Gauss lines is used in the evaluation of the coefficients in the Galerkin procedure for the concentration. These results show that the total algorithm has the superconvergence property of the fluid velocity. |
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Keywords: | full-discrete compressible miscible displacement |
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