期刊
出版社
E D P SCIENCES
DOI: 10.1051/m2an:2001119
关键词
a posteriori error estimates; convection diffusion reaction equation; finite volume schemes; adaptive methods; unstructured grids
This paper is devoted to the study of a posteriori error estimates for the scalar nonlinear convection-diffusion-reaction equation c(t) + del . (uf(c)) (D delc)+ lambdac = 0. The estimates for the error between the exact solution and an upwind finite volume approximation to the solution are derived in the L-1-norm, independent of the diffusion parameter D. The resulting a posteriori error estimate is used to define an grid adaptive solution algorithm for the finite volume scheme. Finally numerical experiments underline the applicability of the theoretical results.
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