Quadrature-free characteristic methods for convection-diffusion problems

M. Tabata

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    Galerkin-characteristics finite element method is a powerful numerical procedure for convection-diffusion problems even in the convection-dominated case. It is, however, reported that rough numerical integration for composite terms ruins the convergence property. In this paper we discuss two ways to avoid numerical quadrature referring to the recent results. One way is to use the lumping technique. A Galerkin-characteristics finite element scheme of lumped mass type is considered. The other way is to use a finite difference method derived from a Galerkin-characteristics finite element scheme. For these schemes the stability and convergence are discussed.

    Original languageEnglish
    Title of host publicationCivil-Comp Proceedings
    PublisherCivil-Comp Press
    Volume100
    ISBN (Print)9781905088553
    Publication statusPublished - 2012
    Event8th International Conference on Engineering Computational Technology, ECT 2012 - Dubrovnik, Croatia
    Duration: 2012 Sep 42012 Sep 7

    Other

    Other8th International Conference on Engineering Computational Technology, ECT 2012
    CountryCroatia
    CityDubrovnik
    Period12/9/412/9/7

    Keywords

    • Characteristics
    • Convection-diffusion
    • Convergence
    • Finite difference method
    • Finite element method
    • Lumped mass
    • Peclet number
    • Quadrature-free
    • Stability

    ASJC Scopus subject areas

    • Computational Theory and Mathematics
    • Civil and Structural Engineering
    • Artificial Intelligence
    • Environmental Engineering

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  • Cite this

    Tabata, M. (2012). Quadrature-free characteristic methods for convection-diffusion problems. In Civil-Comp Proceedings (Vol. 100). Civil-Comp Press.