On Galerkin models for transport in groundwater

DOI10.1016/S0096-3003(98)00025-3zbMath0938.76052MaRDI QIDQ1294267

David R. Yonge, Md. Akram Hossain

Publication date: 21 June 2000

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

Petrov-Galerkin finite element modelscoarser meshGalerkin finite element modelsoscillation-free implementationPećlet number

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (4)

Simulating advective-dispersive transport by finite elements: criteria for accuracy of an explicit Runge-Kutta method. ⋮ Accuracy of the Taylor-Galerkin model for contaminant transport in groundwater ⋮ An implicit scheme for solving the convection-diffusion-reaction equation in two dimensions ⋮ Finite element analysis of contaminant transport in groundwater.

Cites Work

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• Solution of transient transport equation using an upstream finite element scheme
• Advection-dispersion simulation by minimization characteristics and alternate direction-explicit methods
• A Taylor-Galerkin method for convective transport problems
• Accurate Petrov-Galerkin methods for transient convective diffusion problems
• A third-order semi-implicit finite difference method for solving the one-dimensional convection-diffusion equation
• Finite element methods for second order differential equations with significant first derivatives
• An ‘upwind’ finite element scheme for two‐dimensional convective transport equation

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