Numerical modelling of elastic wave scattering in frequency domain by the partition of unity finite element method

A. El Kacimi, O. Laghrouche

    Research output: Contribution to journalArticle

    35 Citations (Scopus)

    Abstract

    In this paper, we investigate a numerical approach based on the partition of unity finite element method, for the time-harmonic elastic wave equations. The aim of the proposed work is to accurately model two-dimensional elastic wave problems with fewer elements, capable of containing many wavelengths per nodal spacing, and without refining the mesh at each frequency. The approximation of the displacement field is performed via the standard finite element shape functions, enriched by superimposing pressure and shear plane wave basis, which incorporate knowledge of the wave propagation. A variational framework able to handle mixed boundary conditions is described. Numerical examples dealing with the radiation and the scattering of elastic waves by a circular body are presented. The results show the performance of the proposed method in both accuracy and efficiency. Copyright © 2008 John Wiley & Sons, Ltd.

    Original languageEnglish
    Pages (from-to)1646-1669
    Number of pages24
    JournalInternational Journal for Numerical Methods in Engineering
    Volume77
    Issue number12
    DOIs
    Publication statusPublished - 2009

    Keywords

    • Elastic waves
    • Finite elements
    • Plane waves
    • PUFEM
    • Scattering problem

    Fingerprint Dive into the research topics of 'Numerical modelling of elastic wave scattering in frequency domain by the partition of unity finite element method'. Together they form a unique fingerprint.

  • Cite this