摘要
Akind of compressiblemiscible displacement problemswhich includemolecular diffusion and dispersion in porous media are investigated.The mixed finite element method is applied to the flow equation,and the transport one is solved by the symmetric interior penalty discontinuous Galerkin method.Based on a duality argument,employing projection estimates and approximation properties,a posteriori residual-type hp error estimates for the coupled system are presented,which is often used for guiding adaptivity.Comparing with the error analysis carried out by Yang(Int.J.Numer.Meth.Fluids,65(7)(2011),pp.781-797),the current work is more complicated and challenging.
基金
This work was supported by Hunan Provincial Natural Science Foundation of China,Scientific Research Fund ofHunan Provincial Education Department(Grant No.11B032),the Planned Science and Technology Project of Hunan Province(Grant No.2011FJ4146)
Aid program for Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province.The authors cordially thank the referees for their careful reading and helpful comments.
