Wheeler, John A.; Wheeler, Mary F.; Yotov, Ivan Enhanced velocity mixed finite element methods for flow in multiblock domains. (English) Zbl 1023.76023 Comput. Geosci. 6, No. 3-4, 315-332 (2002). 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. Cited in 3 ReviewsCited in 17 Documents MSC: 76M10 Finite element methods applied to problems in fluid mechanics 76S05 Flows in porous media; filtration; seepage 86A05 Hydrology, hydrography, oceanography Keywords:mixed finite element methods; non-matching multiblock grids; flow in porous media; a priori error estimates; pressure; velocity PDFBibTeX XMLCite \textit{J. A. Wheeler} et al., Comput. Geosci. 6, No. 3--4, 315--332 (2002; Zbl 1023.76023) Full Text: DOI