A symmetric characteristic FVE method with second order accuracy for nonlinear convection diffusion problems

DOI10.1016/j.cam.2006.01.020zbMath1121.65103OpenAlexW2009413876MaRDI QIDQ869505

Min Yang, Yi-Rang Yuan

Publication date: 8 March 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.01.020

zbMATH Keywords

numerical exampleerror estimatesfinite volume element methodsecond order accuracysymmetric schemenon-uniform rectangular meshesnonlinear convection diffusion problems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (11)

An efficient symmetric finite volume element method for second-order variable coefficient parabolic integro-differential equations ⋮ Two-time level ADI finite volume method for a class of second-order hyperbolic problems ⋮ The backward Euler fully discrete finite volume method for the problem of purely longitudinal motion of a homogeneous bar ⋮ Biquadratic finite volume element methods based on optimal stress points for parabolic problems ⋮ Some recent advances on vertex centered finite volume element methods for elliptic equations ⋮ Symmetric finite volume method for second order variable coefficient hyperbolic equations ⋮ An integral equation approach to the unsteady convection-diffusion equations ⋮ Symmetric finite volume element approximations of second order linear hyperbolic integro-differential equations ⋮ Biquadratic finite volume element method based on optimal stress points for second order hyperbolic equations ⋮ ADI quadratic finite volume element methods for second order hyperbolic problems ⋮ A half boundary method for two dimensional unsteady convection-diffusion equations

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