Godunov mixed methods on triangular grids for advection--dispersion equations

DOI10.1023/A:1019963900511zbMath1011.65071MaRDI QIDQ1851023

Annamaria Mazzia, Mario Putti, Luca Bergamaschi, Clint N. Dawson

Publication date: 15 December 2002

Published in: Computational Geosciences (Search for Journal in Brave)

zbMATH Keywords

finite volume methoderror boundstransport equationtriangular gridtime-splittingGodunov mixed methodsnumerical exmaplesmixed hybrid finite element methodadvection-dispersion equations

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15)

Related Items (7)

Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty ⋮ Bad behavior of Godunov mixed methods for strongly anisotropic advection-dispersion equations ⋮ Operator Splitting and Local Time-Stepping Methods for Transport Problems in Fractured Porous Media ⋮ Unconditional stable numerical techniques for a water-quality model in a non-uniform flow stream ⋮ Space-time domain decomposition for advection-diffusion problems in mixed formulations ⋮ High order Godunov mixed methods on tetrahedral meshes for density driven flow simulations in porous media ⋮ Three-dimensional mixed finite element-finite volume approach for the solution of density-dependent flow in porous media

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