<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:creator>Hiptmair, Ralf</dc:creator>
  <dc:creator>Paganini, Alberto</dc:creator>
  <dc:description xmlns:ns0="xml" ns0:lang="en">&lt;jats:title&gt;Abstract&lt;/jats:title&gt;&lt;jats:p&gt;We consider PDE constrained shape optimization in
the framework of finite element discretization of
the underlying boundary value problem. We present an algorithm tailored to preserve and exploit
the approximation properties of the finite element method,
and that allows for arbitrarily high resolution of shapes. It
employs (i) B-spline based representations of the deformation diffeomorphism,
and (ii) superconvergent domain integral expressions for the shape gradient.
We provide numerical evidence of the performance of this method
both on prototypical well-posed and ill-posed shape optimization
problems.&lt;/jats:p&gt;</dc:description>
  <dc:format>application/pdf</dc:format>
  <dc:identifier>https://sonar.ch/global/documents/89138</dc:identifier>
  <dc:language>eng</dc:language>
  <dc:relation>info:eu-repo/semantics/altIdentifier/doi/10.1515/cmam-2015-0013</dc:relation>
  <dc:relation>info:eu-repo/semantics/altIdentifier/issn/1609-4840</dc:relation>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:source>Computational Methods in Applied Mathematics. - Walter de Gruyter GmbH. - 2015, vol. 15, no. 3, p. 291-305</dc:source>
  <dc:subject xmlns:ns1="xml" ns1:lang="en">Applied Mathematics</dc:subject>
  <dc:subject xmlns:ns2="xml" ns2:lang="en">Numerical Analysis</dc:subject>
  <dc:subject xmlns:ns3="xml" ns3:lang="en">Computational Mathematics</dc:subject>
  <dc:title xmlns:ns4="xml" ns4:lang="en">Shape Optimization by Pursuing Diffeomorphisms</dc:title>
  <dc:type>http://purl.org/coar/resource_type/c_6501</dc:type>
</oai_dc:dc>