Spitéri, Pierre and Ouaoua, Amar and Chau, Ming and Boutabia, Hacène
Parallel solution of the discretized and linearized G-heat equation.
(2018)
International Journal of High Performance Computing and Networking, 11 (1). 66-82. ISSN 1740-0562
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(Document in English)
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Official URL: https://doi.org/10.1504/IJHPCN.2018.088880
Abstract
The present study deals with the numerical solution of the G-heat equation. Since the G-heat equation is defined in an unbounded domain, we firstly state that the solution of the G-heat equation defined in a bounded domain converges to the solution of the G-heat equation when the measure of the domain tends to infinity. Moreover, after time discretisation by an implicit time marching scheme, we define a method of linearisation of each stationary problem, which leads to the solution of a large scale algebraic system. A unified approach analysis of the convergence of the sequential and parallel relaxation methods is given. Finally, we present the results of numerical experiments.
Item Type: | Article |
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HAL Id: | hal-02089321 |
Audience (journal): | International peer-reviewed journal |
Uncontrolled Keywords: | |
Institution: | French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE) Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE) Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE) Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE) Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE) Other partners > Advanced Solutions Accelerator - ASA (FRANCE) Other partners > Université Badji Mokhtar - Annaba (ALGERIA) |
Laboratory name: | |
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Deposited On: | 12 Mar 2019 15:18 |
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