The alternating-direction schemes and numerical analysis for the three-dimensional seawater intrusion simulation.

DOI10.1007/s102550200039zbMath1156.76449OpenAlexW2079439197MaRDI QIDQ1862809

Zhi-Yue Zhang

Publication date: 19 March 2003

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s102550200039

zbMATH Keywords

characteristic finite elementalternating directionoptimal order estimate in \(H^1\)Three-dimensional seawater intrusion

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

Parallel characteristic mixed element method for saltwater intrusion problem ⋮ A mass-conservative characteristic splitting mixed element method for saltwater intrusion problem ⋮ Error estimates of finite volume element method for the pollution in groundwater flow

Cites Work

• Unnamed Item
• Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics
• Characteristics-finite element methods for seawater intrusion. Numerical simulation and theoretical analysis
• A norm estimate for the ADI method for nonsymmetric problems
• An adaptive spline wavelet ADI(SW-ADI) method for two-dimensional reaction-diffusion equations
• Finite Difference Methods for Two-Phase Incompressible Flow in Porous Media
• Time Stepping Along Characteristics with Incomplete Iteration for a Galerkin Approximation of Miscible Displacement in Porous Media
• A Modified Backward Time Discretization for Nonlinear Parabolic Equations Using Patch Approximations
• An Alternating Direction Galerkin Method for a Class of Second-Order Hyperbolic Equations in Two Space Variables
• ADI Methods for Cubic Spline Collocation Discretizations of Elliptic PDE