On the convergence of basic iterative methods for convection-diffusion equations

DOI<329::AID-NLA167>3.0.CO;2-A 10.1002/(SICI)1099-1506(199907/08)6:5<329::AID-NLA167>3.0.CO;2-AzbMath0983.65117OpenAlexW1999318494MaRDI QIDQ2760360

Jürgen Bey, Arnold Reusken

Publication date: 19 December 2001

Full work available at URL: https://doi.org/10.1002/(sici)1099-1506(199907/08)6:5<329::aid-nla167>3.0.co;2-a

zbMATH Keywords

convergencefinite elementconvection-diffusion equationsbox methoddamped Jacobi iterationartificial diffusion methodbasic iterative methodsdamped Gauss-Seidel iterationTabata upwind triangle method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)

Related Items

Mass-corrections for the conservative coupling of flow and transport on collocated meshes ⋮ Algebraic multigrid for stabilized finite element discretizations of the Navier--Stokes equations

Cites Work

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• Downwind numbering: Robust multigrid for convection-diffusion problems
• Some upwinding techniques for finite element approximations of convection-diffusion equations
• On first and second order box schemes
• Numerical radius of positive matrices
• Relaxation bei nichtsymmetrischen Matrizen
• Some Error Estimates for the Box Method
• Downwind Gauß-Seidel Smoothing for Convection Dominated Problems