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<dc:title xml:lang="pl"><![CDATA[Optimal shape design for elliptic equations via BIE-methods]]></dc:title>
<dc:creator><![CDATA[Eppler, Karsten]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[optimal shape design]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[fundamental solution]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[boundary integral equation]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[first-order necessary condition]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[special description of the boundary variation in a shape optimization problem is investigated. This, together with the use of a potential theory for the state, result in natural embedding of the problem in a Banach space. Therefore, standard differential calculus can be applied in order to prove the Frechét-differentiability of the cost function for appropriately chosen data (sufficiently smooth). Moreover, necessary optimality conditions are obtained in a similar way as in other approaches, and are expressed in terms of an adjoint state for more regular data.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Korbicz, Józef (1951- ) - red.]]></dc:contributor>
<dc:contributor><![CDATA[Uciński, Dariusz - red.]]></dc:contributor>
<dc:date><![CDATA[2000]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/58734/AMCS_2000_10_3_3.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/65512/edition/58734/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:58734]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 10, number 3 (2000)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=paper&paper=936]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:65512]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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