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    <id>760</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
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    <completedDate>2003-11-24</completedDate>
    <publishedDate>2003-11-24</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">HelmPole - A finite element solver for scattering problems on unbounded domains: Implementation based on PML</title>
    <abstract language="eng">The solution of scattering problems described by the Helmholtz equation on unbounded domains is of importance for a wide variety of applications, for example in electromagnetics and acoustics. An implementation of a solver for scattering problems based on the programming language Matlab is introduced. The solver relies on the finite-element-method and on the perfectly-matched-layer-method, which allows for the simulation of scattering problems on complex geometries surrounded by inhomogeneous exterior domains. This report gives a number of detailed examples and can be understood as a user manual to the freely accessible code of the solver HelmPole.</abstract>
    <identifier type="serial">03-38</identifier>
    <identifier type="opus3-id">761</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-7609</identifier>
    <author>Sven Burger</author>
    <author>Roland Klose</author>
    <author>Achim Schädle</author>
    <author>Lin Zschiedrich</author>
    <series>
      <title>ZIB-Report</title>
      <number>03-38</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Helmholtz equation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>finite element method</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>perfectly matched layer</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="pacs" number="02.60.Cb">Numerical simulation; solution of equations</collection>
    <collection role="pacs" number="02.60.Lj">Ordinary and partial differential equations; boundary value problems</collection>
    <collection role="pacs" number="02.70.Dh">Finite-element and Galerkin methods</collection>
    <collection role="msc" number="35Q60">PDEs in connection with optics and electromagnetic theory</collection>
    <collection role="msc" number="65-04">Explicit machine computation and programs (not the theory of computation or programming)</collection>
    <collection role="msc" number="65N30">Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods</collection>
    <collection role="msc" number="78-04">Explicit machine computation and programs (not the theory of computation or programming)</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="persons" number="burger">Burger, Sven</collection>
    <collection role="persons" number="zschiedrich">Zschiedrich, Lin Werner</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/760/ZR-03-38.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/760/ZR-03-38.pdf</file>
  </doc>
  <doc>
    <id>766</id>
    <completedYear/>
    <publishedYear/>
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    <language>eng</language>
    <pageFirst/>
    <pageLast/>
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    <edition/>
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    <type>reportzib</type>
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    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2003-12-09</completedDate>
    <publishedDate>2003-12-09</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">A new Finite Element realization of the Perfectly Matched Layer Method for Helmholtz scattering problems on polygonal&#13;
domains in 2D</title>
    <abstract language="eng">In this paper we propose a new finite element realization of the Perfectly Matched Layer method (PML-method). Our approach allows to deal with arbitrary shaped polygonal domains and with certain types of inhomogeneous exterior domains. Among the covered inhomogeneities are open waveguide structures playing an essential role in integrated optics. We give a detailed insight to implementation aspects. Numerical examples show exponential convergence behavior to the exact solution with the thickness of the PML sponge layer.</abstract>
    <identifier type="serial">03-44</identifier>
    <identifier type="opus3-id">767</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-7662</identifier>
    <identifier type="doi">10.1016/j.cam.2005.03.047</identifier>
    <enrichment key="SourceTitle">Appeared in: Journal of computational and applied mathematics, 188(2006)12-32</enrichment>
    <author>Lin Zschiedrich</author>
    <author>Roland Klose</author>
    <author>Achim Schädle</author>
    <author>Frank Schmidt</author>
    <series>
      <title>ZIB-Report</title>
      <number>03-44</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>transparent boundary conditions</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>perfectly matched layer</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>pole condition</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="35Q60">PDEs in connection with optics and electromagnetic theory</collection>
    <collection role="msc" number="65-04">Explicit machine computation and programs (not the theory of computation or programming)</collection>
    <collection role="msc" number="65N30">Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods</collection>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="institutes" number="compnano">Computational Nano Optics</collection>
    <collection role="persons" number="zschiedrich">Zschiedrich, Lin Werner</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/766/ZR-03-44.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/766/ZR-03-44.pdf</file>
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