Digital Library of Zielona Góra contains 63 052 digital objects
Object
Title: Element partition trees for h-refined meshes to optimize direct solver performance. Part I: Dynamic programming
Creator:
Aboueisha, Hassan ; Calo, Victor Manuel ; Jopek, Konrad ; Moshkov, Mikhail ; Paszyńska, Anna ; Paszyński, Maciej ; Skotniczny, Marcin
Date:
Resource Type:
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Group publication title:
Abstract:
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. ; 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.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 27, number 2 (2017) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2017)
Last modified:
Jul 14, 2025
In our library since:
Jul 3, 2025
Number of object content hits:
24
All available object's versions:
https://zbc.uz.zgora.pl/publication/100617
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 27, number 1 (2017)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 27, number 2 (2017)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 27, number 3 (2017)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 27, number 4 (2017)
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| Edition name | Date |
|---|---|
| Element partition trees for h-refined meshes to optimize direct solver performance. Part I: Dynamic programming | Jul 14, 2025 |
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Barabasz, Barbara Gajda-Zagórska, Ewa Migórski, Stanisław Paszyński, Maciej Schaefer, Robert Smołka, Maciej Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
