Mixed finite element methods for petroleum reservoir engineering problems. (English) Zbl 0598.76102

Wheeler, Mary Fanett; Gonzalez, Ruth

Computing methods in applied sciences and engineering VI, Proc. 6th Int. Symp., Versailles 1983, 639-657 (1984).

[For the entire collection see Zbl 0547.00045.]
Mixed finite element methods are considered for computing Darcy velocities for fluid flow problems in a porous medium. It is shown that the five point block-centered finite difference method is a mixed method with special numerical quadratur formulas. Computational results with a block-centered finite difference matrix as a preconditioner for mixed method formulations using the tensor product Raviart-Thomas approximating spaces are presented.

MSC:

76S05	Flows in porous media; filtration; seepage
76M99	Basic methods in fluid mechanics
65N06	Finite difference methods for boundary value problems involving PDEs

Keywords:

Mixed finite element methods; Darcy velocities; five point block-centered finite difference method; numerical quadratur formulas; preconditioner; tensor product Raviart-Thomas approximating spaces

Citations:

Zbl 0547.00045