Strong convergence of the discontinuous Galerkin scheme for the low regularity miscible displacement equations

Strong convergence of the numerical solution to a weak solution is proved for a nonlinear coupled flow and transport problem arising in porous media. The method combines a mixed finite element method for the pressure and velocity with an interior penalty discontinuous Galerkin method in space for th...

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Veröffentlicht in:	Numerical methods for partial differential equations 2017-03, Vol.33 (2), p.489-513
Hauptverfasser:	Girault, Vivette, Li, Jizhou, Rivière, Beatrice M.
Format:	Artikel
Sprache:	eng
Schlagworte:	compactness Concentration gradient Convergence Discontinuity Galerkin methods Mathematical analysis Mathematical models Mathematics nonlinear PDEs Norms Porous media weighted Sobolev spaces
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