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.References
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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