Szczegóły publikacji
Opis bibliograficzny
Scalability of direct solver for non-stationary Cahn-Hilliard simulations with linearized time integration scheme / M. WOŹNIAK, M. SMOŁKA, A. Cortes, M. PASZYŃSKI, R. SCHAEFER // Procedia Computer Science [Dokument elektroniczny]. — Czasopismo elektroniczne ; ISSN 1877-0509. — 2016 — vol. 80, s. 834–844. — Wymagania systemowe: Adobe Reader. — Bibliogr. s. 843–844, Abstr. — Publikacja dostępna online od: 2016-06-01. — ICCS 2016 : International Conference on Computational Science : 6–8 June 2016, San Diego, California, USA
Autorzy (5)
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 98626 |
|---|---|
| Data dodania do BaDAP | 2016-07-21 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.procs.2016.05.373 |
| Rok publikacji | 2016 |
| Typ publikacji | referat w czasopiśmie |
| Otwarty dostęp | |
| Czasopismo/seria | Procedia Computer Science |
Abstract
We study the features of a new mixed integration scheme dedicated for solving the nonstationary variational problems. The scheme is composed of the FEM approximation with respect to the space variable coupled with a 3-layered time integration scheme with a linearized right-hand side operator. It was applied in solving the Cahn-Hilliard parabolic equation with a nonlinear, fourth-order elliptic part. The second order of the approximation along the time variable was proven. Moreover, the good scalability of the software based on this scheme was confirmed during simulations. We verify the proposed time integration scheme by monitoring the Ginzberg-Landau free energy. The numerical simulations are performed using parallel multifrontal direct solver executed over STAMPEDE Linux cluster. Its scalability was compared to the results of the three direct solvers, including MUMPS, SuperLU and PaSTiX.