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A numerical study of primal mixed finite element approximations of Darcy equations. (English) Zbl 1125.76047
Summary: We present a numerical study of several finite element approximations for the primal mixed formulation of Darcy equations. In all cases the pressure is approximated by continuous piecewise-linear functions. The difference between the schemes is in the choice of the finite element approximation space for velocity. Numerical tests confirm the theoretical convergence of some of these schemes, and we investigate the convergence properties of schemes for which theoretical results are not available. Numerical results for some 2D problems suggest that some of the new schemes provide better convergence properties for the velocity.
MSC:
76M10Finite element methods (fluid mechanics)
76S05Flows in porous media; filtration; seepage