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<dc:title xml:lang="pl"><![CDATA[Element partition trees for h-refined meshes to optimize direct solver performance. Part I: Dynamic programming]]></dc:title>
<dc:creator><![CDATA[Aboueisha, Hassan]]></dc:creator>
<dc:creator><![CDATA[Calo, Victor Manuel]]></dc:creator>
<dc:creator><![CDATA[Jopek, Konrad]]></dc:creator>
<dc:creator><![CDATA[Moshkov, Mikhail]]></dc:creator>
<dc:creator><![CDATA[Paszyńska, Anna]]></dc:creator>
<dc:creator><![CDATA[Paszyński, Maciej]]></dc:creator>
<dc:creator><![CDATA[Skotniczny, Marcin]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[h-adaptive finite element method]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[ordering]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[element partition tree]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[extensions of dynamic rogramming]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[multifrontal direct solvers]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[We consider a class of two- and three-dimensional h-refined meshes generated by an adaptive finite element method. We introduce an element partition tree, which controls the execution of the multi-frontal solver algorithm over these refined grids. We propose and study algorithms with polynomial computational cost for the optimization of these element partition trees. The trees provide an ordering for the elimination of unknowns. The algorithms automatically optimize the element partition trees using extensions of dynamic programming.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[The construction of the trees by the dynamic programming approach is expensive. These generated trees cannot be used in practice, but rather utilized as a learning tool to propose fast heuristic algorithms. In this first part of our paper we focus on the dynamic programming approach, and draw a sketch of the heuristic algorithm. The second part will be devoted to a more detailed analysis of the heuristic algorithm extended for the case of hp-adaptive grids.]]></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[2017]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/85666/AMCS_2017_27_2_10.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/100617/edition/85666/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:85666]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 27, number 2 (2017)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=104]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:100617]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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