Adaptive Mesh Reenement for Single and Two Phase Ow Problems in Porous Media

نویسنده

  • Mario Ohlberger
چکیده

abstract This paper is devoted to the study of a posteriori error estimates and adaptive methods for a mixed nite element-nite volume approximation for single and two phase ow problems in porous media. In a rst step we analyze a scalar nonlinear convection diiusion equation and give a rigorous a posteriori error estimate for the Cauchy problem. In a second step these results are used to implement an adaptive method for the systems of density driven ow and two phase ow in porous media.

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تاریخ انتشار 1999