Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping

Sundararajan Natarajan, Stéphane Bordas, D. Roy mahapatra

    Research output: Contribution to journalArticle

    136 Citations (Scopus)

    Abstract

    This paper presents a new numerical integration technique on arbitrary polygonal domains. The polygonal domain is mapped conformally to the unit disk using Schwarz-Christoffel mapping and a midpoint quadrature rule defined on this unit disk is used. This method eliminates the need for a two-level isoparametric mapping usually required. Moreover, the positivity of the Jacobian is guaranteed. Numerical results presented for a few benchmark problems in the context of polygonal finite elements show that the proposed method yields accurate results.

    Original languageEnglish
    Pages (from-to)103-134
    Number of pages32
    JournalInternational Journal for Numerical Methods in Engineering
    Volume80
    Issue number1
    DOIs
    Publication statusPublished - 1 Oct 2009

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