An upwinding cell-centered method with piecewise constant velocity over covolumes

DOI<49::AID-NUM3>3.0.CO;2-G 10.1002/(SICI)1098-2426(199901)15:1<49::AID-NUM3>3.0.CO;2-GzbMath0939.65115OpenAlexW1986488628MaRDI QIDQ4256032

Panayot S. Vassilevski, So-Hsiang Chou

Publication date: 10 July 2000

Full work available at URL: https://doi.org/10.1002/(sici)1098-2426(199901)15:1<49::aid-num3>3.0.co;2-g

zbMATH Keywords

convergencefinite volume methodconvection-diffusion equationmarker and cell methodcovolume methodupwinding cell-centered 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items

A brief survey on numerical methods for solving singularly perturbed problems, Convergence of an upwind control-volume mixed finite element method for convection-diffusion problems, Convergence analysis of an upwind mixed element method for advection diffusion problems, A general mixed covolume framework for constructing conservative schemes for elliptic problems

Cites Work

• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• A Covolume Method Based on Rotated Bilinears for the Generalized Stokes Problem
• Analysis and convergence of a covolume method for the generalized Stokes problem
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