【摘 要】
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In this paper we consider mixed finite element methods for second order elliptic problems. In the case of the lowest order Brezzi-Douglás-Marini elements (if d
【机 构】
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Center for Scientific Computation, Box 750156, Southern Methodist University, Dallas, TX 75275-0156,
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In this paper we consider mixed finite element methods for second order elliptic problems. In the case of the lowest order Brezzi-Douglás-Marini elements (if d = 2) or Brezzi--Douglás-Fortin element(if d =3) on rectangular parallelepipeds, we show that the mixed method system, by incorporating certain quadrature rules, can be written as asimple, cell-centered finite difference method. This leads to the solution of a sparse, positive semidefinite linear system for the scalar unknown. For a diagonal tensor coefficient,the sparsity patte for the scalar unknown is a five point stencil if d = 2, and seven ifd = 3. For a general tensor coefficient, it is a nine point stencil, and nineteen, respectively.Applications of the mixed method implementation as finite differences to nonisothermal multiphase, multicomponent flow in porous media are presented.
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