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Enhanced velocity mixed finite element methods for flow in multiblock domains. (English) Zbl 1023.76023
Summary: The paper presents an approach to discretizing flow in porous media via mixed finite element methods on non-matching multiblock grids. The velocity space along the interfaces is enhanced to give flux-continuous approximation. No additional matching conditions need to be imposed. The computational complexity of the resulting algebraic problem is comparable to the one for the single-block case. A priori error estimates for pressure and velocity and numerical experiments confirm the theory.

MSC:
76M10 Finite element methods applied to problems in fluid mechanics
76S05 Flows in porous media; filtration; seepage
86A05 Hydrology, hydrography, oceanography
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