2011•Xitong kexue yu shuxueRequires access

THE CHARACTERISTICS-FINITE VOLUME ELEMENT METHOD FOR THE CONVECTION DOMINATED DIFFUSION EQUATION

Qing Yang

Abstract

In this paper,a characteristics finite volume method is considered for the initial-boundary-value problem of the convection dominated diffusion equation and the error analysis of the solution of the characteristics finite volume scheme is given.Theoretical analysis and numerical experiment indicate that the method is effective and has optimal order error estimates in L~2 and H~1 norm.

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Key concepts: Finite volume method, Convection–diffusion equation, Finite volume method for one-dimensional steady state diffusion, Mathematics, Finite element method, Numerical solution of the convection–diffusion equation, Norm (philosophy), Boundary value problem