A two-grid expanded mixed element method for nonlinear non-Fickian flow model in porous media

DOI10.1080/00207160.2013.837160zbMath1297.65107OpenAlexW2089853068MaRDI QIDQ2921930

Xindong Li, Wei Liu, Qing-li Zhao

Publication date: 14 October 2014

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2013.837160

zbMATH Keywords

two-grid methodexpanded mixed finite elementnonlinear parabolic integro-differential equationsnon-Fickian flow model

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Two temporal second-order \(H^1\)-Galerkin mixed finite element schemes for distributed-order fractional sub-diffusion equations ⋮ Two-grid mixed finite element method for nonlinear hyperbolic equations ⋮ Expanded mixed finite element method for second order hyperbolic equations ⋮ High order compact finite difference methods for non-Fickian flows in porous media ⋮ A two-grid block-centered finite difference method for nonlinear non-Fickian flow model ⋮ Characteristic block-centered finite difference method for compressible miscible displacement in porous media ⋮ A block-centered finite difference method for the nonlinear Sobolev equation on nonuniform rectangular grids ⋮ A new two-grid nonconforming mixed finite element method for nonlinear Benjamin-Bona-Mahoney equation ⋮ Efficient spectral method for stable stratified power-law fluid flows with dispersion over convectively heated truncated cone in a non-Darcy porous medium

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