Abstract
AbstractThis paper focuses on the reliable and efficient numerical approximation of subsurface water flows. The locally mass conservative Brezzi‐Douglas‐Marini (BDM1) mixed finite element method is considered and compared to a lowest order Raviart–Thomas (RT0) mixed finite element approach and a Multi Point Flux Approximation. Appreciable advantage of the BDM1 element is that it yields a formally second order accurate flux approximation whereas the RT0 and MPFA approach are of first order accuracy only. The problem to be analyzed in this work is whether a superiority of the BDM1 element can also be observed in reservoir simulation where discontinuous and full permeability tensors on non‐uniform grids arise and the fluxes lack the regularity that is assumed customarily in optimal order error analyses. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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