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  <doc>
    <id>23</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>1989-07-03</completedDate>
    <publishedDate>1989-07-03</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">On Adaptive Grid Refinement in the Presence of Internal or Boundary Layers.</title>
    <abstract language="eng">We propose an anisotropic refinement strategy which is specially designed for the efficient numerical resolution of internal and boundary layers. This strategy is based on the directed refinement of single triangles together with adaptive multilevel grid orientation. It is demonstrated by several numerical examples that compared to usual methods, the new anisotropic refinement ends up in more stable and more accurate solutions at much less computational cost. {\bf Keywords:} Adaptive finite elements, directed refinement, adaptive grid orientation, convection diffusion equation, internal and boundary layers.</abstract>
    <identifier type="serial">SC-89-05</identifier>
    <identifier type="opus3-id">23</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-230</identifier>
    <enrichment key="SourceTitle">Appeared in: IMPACT Comput. Sci. Engrg. 2 (1990) pp. 40-72</enrichment>
    <author>Ralf Kornhuber</author>
    <author>Rainer Roitzsch</author>
    <series>
      <title>ZIB-Report</title>
      <number>SC-89-05</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>adaptive finite elements</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>directed refinement</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>adaptive grid orientation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>convection diffusion equation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>internal and boundary layers</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="35J70">Degenerate elliptic equations</collection>
    <collection role="msc" number="35L67">Shocks and singularities [See also 58Kxx, 76L05]</collection>
    <collection role="msc" number="65N30">Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/23/SC-89-05.pdf</file>
  </doc>
</export-example>
