A comparison of NRBCs for PUFEM in 2D Helmholtz problems at high wave numbers

O. Laghrouche, A. El-Kacimi, J. Trevelyan

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    In this work, exact and approximate non-reflecting boundary conditions (NRBCs) are implemented with the Partition of Unity Finite Element Method (PUFEM) to solve short wave scattering problems governed by the Helmholtz equation in two dimensions. By short wave problems, we mean situations in which the wavelength is a small fraction of the characteristic dimension of the scatterer. Various NRBCs are implemented and a comparison of their performance is carried out based on the accuracy of the results, ease of implementation and computational cost. The aim is to accurately model such problems in a reduced computational domain around the scatterer with fewer elements and without refining the mesh at each wave number. © 2009 Elsevier B.V.

    Original languageEnglish
    Pages (from-to)1670-1677
    Number of pages8
    JournalJournal of Computational and Applied Mathematics
    Volume234
    Issue number6
    DOIs
    Publication statusPublished - 15 Aug 2010

    Keywords

    • Finite elements
    • Helmholtz equation
    • Non-reflecting boundary conditions
    • Plane wave basis
    • Wave scattering

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