Iterative methods and parallel solution of the dam problem

DOI10.1016/S0045-7825(01)00276-6zbMath0999.76095OpenAlexW2073419305MaRDI QIDQ5956798

J. Pieskä, A. V. Lapin, A. Laitinen

Publication date: 2 December 2002

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(01)00276-6

zbMATH Keywords

porous mediumfree boundary problemiterative algorithmsfinite difference schemedam problemdomain decomposition methodsGauss-Seidel methodadditive Schwarz methodfluid flow in a mediummesh schememulti-valued operatorsparallel solution

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Parallel numerical computation (65Y05)

Related Items (1)

Domain decomposition and Uzawa-type iterative method for elliptic variational inequality

Cites Work

• Numerical solution of steady-state porous flow free boundary problems
• Free boundary problems in the theory of fluid flow through porous media: A numerical approach
• Free boundary problems in the theory of fluid flow through porous media: Existence and uniqueness theorems
• On the dam problem
• The dam problem for linear Darcy's law and nonlinear leaky boundary conditions
• Su un problema di frontiera libera connesso a questioni di idraulica
• Parallel algorithms of schwarz variant for variational inequalities
• Strömungen durch inhomogene poröse Medien mit freiem Rand.
• An up-wind finite element method for a filtration problem
• Iterative Solution Methods
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