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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Numerical methods for a model for compressible miscible displacement in porous media
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by Jim Douglas and Jean E. Roberts PDF
Math. Comp. 41 (1983), 441-459 Request permission

Abstract:

A nonlinear parabolic system is derived to describe compressible miscible displacement in a porous medium. The system is consistent with the usual model for incompressible miscible displacement. Two finite element procedures are introduced to approximate the concentration of one of the fluids and the pressure of the mixture. The concentration is treated by a Galerkin method in both procedures, while the pressure is treated by either a Galerkin method or by a parabolic mixed finite element method. Optimal order estimates in ${L^2}$ and essentially optimal order estimates in ${L^\infty }$ are derived for the errors in the approximate solutions for both methods.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Math. Comp. 41 (1983), 441-459
  • MSC: Primary 65M60; Secondary 76S05
  • DOI: https://doi.org/10.1090/S0025-5718-1983-0717695-3
  • MathSciNet review: 717695