Characteristics-finite element methods for seawater intrusion. Numerical simulation and theoretical analysis

DOI10.1007/BF02677343zbMath0968.76567WikidataQ126211194 ScholiaQ126211194MaRDI QIDQ1299857

Dong Liang, Yi-Rang Yuan, Hong-Xing Rui

Publication date: 4 September 2001

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

zbMATH Keywords

convection-dispersion equation3-dimensional nonlinear parabolic partial differential equationsbackward-difference time-stepping schemeGalerkin method of characteristicsoptimal order \(H(1)\) estimates

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (6)

A discontinuous Galerkin method combined with mixed finite element for seawater intrusion problem ⋮ Parallel characteristic mixed element method for saltwater intrusion problem ⋮ A Mass-Preserving Characteristic Finite Difference Method For Miscible Displacement Problem ⋮ A mass-conservative characteristic splitting mixed element method for saltwater intrusion problem ⋮ An efficient S-DDM iterative approach for compressible contamination fluid flows in porous media ⋮ The alternating-direction schemes and numerical analysis for the three-dimensional seawater intrusion simulation.

Cites Work

• A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media
• 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
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures

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