<?xml version="1.0" encoding="utf-8"?>
<journal>
  <journal_metadata lang="en">
    <full_title>ANZIAM Journal</full_title>
    <abbrev_title>ANZIAM J.</abbrev_title>
    <issn media_type="online">1446-8735</issn>
    <coden>AJNOA2</coden>
  </journal_metadata>
  <journal_issue>
    <publication_date media_type="online">
      <year>2007</year>
    </publication_date>
    <journal_volume>
      <volume>49</volume>
    </journal_volume>
    <issue>1</issue>
    <doi_data>
      <doi>10.wxyz/CV49P1</doi>
      <resource>
      http://www.austms.org.au/Publ/Jamsb/V49P1/</resource>
    </doi_data>
  </journal_issue>
  <journal_article publication_type="full_text">
    <titles>
      <title>A comparative study of the direct boundary element
      method and the dual reciprocity boundary element method in
      solving the Helmholtz equation</title>
    </titles>
    <contributors>
      <person_name sequence="first" contributor_role="author">
      Song-Ping Zhu</person_name>
      <person_name sequence="additional" contributor_role="author">
      Yinglong Zhang</person_name>
    </contributors>
    <publication_date media_type="online">
      <given_date>28 April 2008</given_date>
      <year>2008</year>
      <month>4</month>
      <day>28</day>
    </publication_date>
    <pages>
      <first_page>131</first_page>
      <last_page>150</last_page>
    </pages>
    <publisher_item>
      <item_number>491-2426-ZhuZh-2007</item_number>
    </publisher_item>
    <doi_data>
      <doi>10.wxyz/C2007V49P1p131</doi>
      <resource>
      http://www.austms.org.au/Publ/Jamsb/V49P1/491-2426-ZhuZh/</resource>
    </doi_data>
    <extra_info>
      <abstract>In this paper, we compare the direct boundary
      element method (BEM) and the dual reciprocity boundary
      element method (DRBEM) for solving the direct interior
      Helmholtz problem, in terms of their numerical accuracy and
      efficiency, as well as their applicability and reliability in
      the frequency domain. For BEM formulation, there are two
      possible choices for fundamental solutions, which can lead to
      quite different conclusions in terms of their reliability in
      the frequency domain. For DRBEM formulation, it is shown that
      although the DBREM can correctly predict eigenfrequencies
      even for higher modes, it fails to yield a reasonably
      accurate numerical solution for the problem when the
      frequency is higher than the first eigenfrequency.</abstract>
      <subject_class>primary 65N38; secondary 35Q35</subject_class>
      <review type="MathReviews">MR2378154</review>
      <review type="Zentralblatt">pre05243896</review>
    </extra_info>
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