Numerical Analysis of Finite Element Methods for Miscible Displacements in Porous Media
نویسندگان
چکیده
Finite element methods are used to solve a nonlinear system of partial diierential equations which models incompressible miscible displacement of one uid by another in porous media. From a backward nite diierence discretization we deene a sequentially implicit time-stepping algorithm which uncouples the system. The Galerkin method is employed to approximate the pressure, and improvement velocity eld approximations are calculated via a post-processing technique which involves the conservation of the mass and Darcy's law. A stabilized nite element (SUPG) method is applied to the convection-diiusion equation delivering accurate solutions. Quasi-optimal order error estimates are obtained under suitable regularity hypotheses.
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تاریخ انتشار 1998