<?xml version="1.0" encoding="utf-8"?>
<export-example>
  <doc>
    <id>712</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>habilitation</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2002-11-28</completedDate>
    <publishedDate>2002-11-28</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">A New Approach to Coupled Interior-Exterior Helmholtz-Type Problems: Theory and Algorithms</title>
    <abstract language="eng">The work presents a new approach to the numerical solution of time-harmonic and time-dependent scattering problems. We replace Sommerfeld's radiation condition valid for the Helmholtz equation by a more general concept called pole condition. The pole condition is based on the Laplace transform of the exterior solution and allows a characterization of outgoing waves. Both new insight into the analysis of scattering problems as well as new numerical algorithms are obtained.</abstract>
    <identifier type="serial">02-45</identifier>
    <identifier type="opus3-id">713</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-7128</identifier>
    <author>Frank Schmidt</author>
    <series>
      <title>ZIB-Report</title>
      <number>02-45</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Pole condition</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Helmholtz equation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Wide angle one-way equation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Schroedinger equation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Transparent boundary conditions</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Unbounded domains</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Fini</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="35C15">Integral representations of solutions</collection>
    <collection role="msc" number="65N30">Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="collections" number="">Habilitationen</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/712/ZR-02-45.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/712/ZR-02-45.pdf</file>
  </doc>
</export-example>
