An analysis of a conforming exponentially fitted finite element method for a convection-diffusion problem

Song Wang, Z-C. Li

    Research output: Contribution to journalArticlepeer-review

    8 Citations (Scopus)

    Abstract

    In this paper, we present a convergence analysis for a conforming exponentially fitted Galerkin finite element method with triangular elements for a linear singularly perturbed convection-diffusion problem with a singular perturbation parameter e. It is shown that the error for the finite element solution in the energy norm is bounded by O(h(epsilon(1/2)parallel touparallel to(2)+epsilon(-1/2)parallel touparallel to(1))) if a regular family of triangular meshes is used. In the case that a problem contains only exponential boundary layers, the method is shown to be convergent at a rate of h(1/2) + h\In epsilon\ on anisotropic layer-fitted meshes. (C) 2001 Elsevier Science B.V. All rights reserved.
    Original languageEnglish
    Pages (from-to)291-310
    JournalJournal of Computational and Applied Mathematics
    Volume143
    DOIs
    Publication statusPublished - 2002

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