简介:AmodificationofafiniteelementmethodofDouglasandRobertsforapproximatingthesolutionoftheequationsdescribingcompressiblemiscibledisplacementinaporousmediumisproposedandanalyzed.ThepressureistreatedbyaparabolicmixedfiniteelementmethodusingaRaviart-Thomasspaceofindexroveraquasiregularpartition,AnextensionoftheDarcyvelocityalongGausslinesisusedintheevaluationofthecoefficientsintheGalerkinprocedurefortheconcentration.Asimplecomputationalprocedureallowsthesuperconvergencepropertyofthefluidvelocitytoberetainedinourtotalalgorithm.