Parallel h-p Spectral Element Method for Elliptic Problems on Polygonal Domains

S.K. Tomar, P. Dutt, B.V. Ratish Kumar

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

    25 Downloads (Pure)

    Abstract

    Spectral element methods (SEM) exhibit exponential convergence only when the solution of the problem is sufficiently regular. However, the solution develops a singularity when the boundary of the domain is non-smooth. The accuracy of the SEM is then deteriorated and they offer no advantage over low order methods. Such problems frequently occur in many important physical applications, for example in structural mechanics. A new h-p spectral element method is presented which resolves this form of singularity and gives asymptotically faster results than conventional methods, while retaining the same order of convergence. Moreover, the computational algorithm is devised to harness the potential of widely available parallel computers.
    Original languageEnglish
    Title of host publicationNMCM 2002
    Subtitle of host publicationan Euro Conference on Numerical Mathematics and Computational Mechanics, July 15-19, 2002, University of Miskolc, Miskolc, Hungary
    Place of PublicationMiskolc, Hungary
    PublisherUniversity of Miskolc
    Number of pages12
    Publication statusPublished - 15 Jul 2002
    EventEuro Conference on Numerical Mathematics and Computational Mechanics, NMCM 2002 - University of Miskolc, Miskolc, Hungary
    Duration: 15 Jul 200219 Jul 2002

    Conference

    ConferenceEuro Conference on Numerical Mathematics and Computational Mechanics, NMCM 2002
    Abbreviated titleNMCM
    CountryHungary
    CityMiskolc
    Period15/07/0219/07/02

    Keywords

    • METIS-207964
    • EWI-16262
    • IR-74769

    Fingerprint Dive into the research topics of 'Parallel h-p Spectral Element Method for Elliptic Problems on Polygonal Domains'. Together they form a unique fingerprint.

  • Cite this

    Tomar, S. K., Dutt, P., & Ratish Kumar, B. V. (2002). Parallel h-p Spectral Element Method for Elliptic Problems on Polygonal Domains. In NMCM 2002: an Euro Conference on Numerical Mathematics and Computational Mechanics, July 15-19, 2002, University of Miskolc, Miskolc, Hungary Miskolc, Hungary: University of Miskolc.