Abstract
For an incompressible miscible displacement problem, an effective time-stepping procedure is proposed. The mixed finite element method is applied to the flow equation with uniform meshes, and the transport equation is solved by a full discretized interior penalty discontinuous Galerkin method with regular partitions. Convolution of the Darcy velocity approximation with the Bramble-Schatz kernel function and averaging are applied in the evaluation of the coefficients in the Galerkin procedure for the concentration. A superconvergence estimate is presented.
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