Szczegóły publikacji
Opis bibliograficzny
The value of continuity: refined isogeometric analysis and fast direct solvers / Daniel Garcia, David Pardo, Lisandro Dalcin, Maciej PASZYŃSKI, Nathan Collier, Victor M. Calo // Computer Methods in Applied Mechanics and Engineering ; ISSN 0045-7825. — 2017 — vol. 316, s. 586–605. — Bibliogr. s. 603–605, Abstr. — Publikacja dostępna online od: 2016-08-24
Autorzy (6)
- Garcia Daniel
- Pardo David
- Dalcin Lisandro
- AGHPaszyński Maciej
- Collier Nathan
- Calo Victor Manuel
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 104555 |
|---|---|
| Data dodania do BaDAP | 2017-06-07 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.cma.2016.08.017 |
| Rok publikacji | 2017 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Computer Methods in Applied Mechanics and Engineering |
Abstract
We propose the use of highly continuous finite element spaces interconnected with low continuity hyperplanes to maximize the performance of direct solvers. Starting from a highly continuous Isogeometric Analysis (IGA) discretization, we introduce C0C0-separators to reduce the interconnection between degrees of freedom in the mesh. By doing so, both the solution time and best approximation errors are simultaneously improved. We call the resulting method “refined Isogeometric Analysis (rIGA)”. To illustrate the impact of the continuity reduction, we analyze the number of Floating Point Operations (FLOPs), computational times, and memory required to solve the linear system obtained by discretizing the Laplace problem with structured meshes and uniform polynomial orders. Theoretical estimates demonstrate that an optimal continuity reduction may decrease the total computational time by a factor between p2p2 and p3p3, with pp being the polynomial order of the discretization. Numerical results indicate that our proposed refined isogeometric analysis delivers a speed-up factor proportional to p2p2. In a 2D2D mesh with four million elements and p=5p=5, the linear system resulting from rIGA is solved 22 times faster than the one from highly continuous IGA. In a 3D3D mesh with one million elements and p=3p=3, the linear system is solved 15 times faster for the refined than the maximum continuity isogeometric analysis.
