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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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Numerical methods for flows through porous media. I
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by Michael E. Rose PDF
Math. Comp. 40 (1983), 435-467 Request permission

Abstract:

The degenerate parabolic equation \[ \frac {{\partial u}}{{\partial t}} = \nabla \cdot \left ( {|u{|^\nu }\nabla u} \right ),\quad \nu \geqslant 1,\] has been used to model the flow of gas through a porous medium. Error estimates for continuous and discrete time finite element procedures to approximate the solution of this equation are proved, and several new regularity results are given.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Math. Comp. 40 (1983), 435-467
  • MSC: Primary 65M60; Secondary 76S05
  • DOI: https://doi.org/10.1090/S0025-5718-1983-0689465-6
  • MathSciNet review: 689465