A posteriori error of a discontinuous Galerkin scheme for compressible miscible displacement problems with molecular diffusion and dispersion

A kind of compressible miscible displacement problems including molecular diffusion and dispersion in porous media is studied. A symmetric interior penalty discontinuous Galerkin method is applied to the coupled system of flow and transport. Explicit a posteriori error estimates are obtained based on the duality argument, approximation properties and residual notations. The resulting error bound is shown to be reliable and worthwhile for guiding dynamic mesh adaptivity. Copyright © 2009 John Wiley & Sons, Ltd.

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Original source : http://dx.doi.org/10.1002%2Ffld.2208...