A nonconforming combination of the finite element and volume methods with an anisotropic mesh refinement for a singularly perturbed convection-diffusion equation

Song Wang, Z-C. Li

    Research output: Contribution to journalArticle

    11 Citations (Scopus)

    Abstract

    In this paper we formulate and analyze a discretization method for a 2D linear singularly perturbed convection-diffusion problem with a singular perturbation parameter ɛ. The method is based on a nonconforming combination of the conventional Galerkin piecewise linear triangular finite element method and an exponentially fitted finite volume method, and on a mixture of triangular and rectangular elements. It is shown that the method is stable with respect to a semi-discrete energy norm and the approximation error in the semi-discrete energy norm is bounded by Ch√|1nɛ/1nh| with C independent of the mesh parameter h, the diffusion coefficient ɛ and the exact solution of the problem.
    Original languageEnglish
    Pages (from-to)1689-1709
    JournalMathematics of Computation
    Volume72
    Issue number244
    DOIs
    Publication statusPublished - 2003

    Fingerprint Dive into the research topics of 'A nonconforming combination of the finite element and volume methods with an anisotropic mesh refinement for a singularly perturbed convection-diffusion equation'. Together they form a unique fingerprint.

    Cite this