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		<identifier>oai:zbc.uz.zgora.pl:79066</identifier>
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<dc:title xml:lang="pl"><![CDATA[A sixth-order finite volume method for the 1D biharmonic operator: Application to intramedullary nail simulation]]></dc:title>
<dc:creator><![CDATA[Costa, Ricardo]]></dc:creator>
<dc:creator><![CDATA[Machado, Gaspar J.]]></dc:creator>
<dc:creator><![CDATA[Clain, Stéphane]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[finite volume method]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[polynomial reconstruction operator]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[harmonic operator]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[biharmonic operator]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[high-order method]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[A new very high-order finite volume method to solve problems with harmonic and biharmonic operators for one-dimensional geometries is proposed. The main ingredient is polynomial reconstruction based on local interpolations of mean values providing accurate approximations of the solution up to the sixth-order accuracy.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[First developed with the harmonic operator, an extension for the biharmonic operator is obtained, which allows designing a very high-order finite volume scheme where the solution is obtained by solving a matrix-free problem. An application in elasticity coupling the two operators is presented. We consider a beam subject to a combination of tensile and bending loads, where the main goal is the stress critical point determination for an intramedullary nail.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Byrski, Aleksander - ed.]]></dc:contributor>
<dc:contributor><![CDATA[Kisiel-Dorohinicki, Marek - ed.]]></dc:contributor>
<dc:contributor><![CDATA[Dobrowolski, Grzegorz - ed.]]></dc:contributor>
<dc:date><![CDATA[2015]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/79066/AMCS_2015_25_3_7.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/88898/edition/79066/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:79066]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 25, number 3 (2015)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=62]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:88898]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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