SOR methods for coupled elliptic partial differential equations

DOI10.1016/0021-9991(87)90026-XzbMath0624.76029OpenAlexW2094830675MaRDI QIDQ579066

Alain Rigal

Publication date: 1987

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(87)90026-x

zbMATH Keywords

optimizationconvergenceNavier-Stokes problembiharmonic problemblock SOR methodboundary discretizationscavity driven problemcoupled systems of elliptic partial differential equationstwo parameter point SOR method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Iterative numerical methods for linear systems (65F10) Basic methods in fluid mechanics (76M99) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

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• Acceleration of the convergence in viscous flow computations
• Boundary approximations and accuracy in viscous flow computations
• Convergence and optimization of successive overrelaxation for linear systems of equations with complex eigenvalues
• Point and block SOR applied to a coupled set of difference equations
• Some Difference Schemes for the Biharmonic Equation
• Discretization Error Estimates for Certain Splitting Procedures for Solving First Biharmonic Boundary Value Problems
• The Coupled Equation Approach to the Numerical Solution of the Biharmonic Equation by finite Differences. I
• Solving the Biharmonic Equation as Coupled Finite Difference Equations

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