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Parallel solution of the discretized and linearized G-heat equation

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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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
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 - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (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 By: IRIT IRIT
Deposited On:12 Mar 2019 15:18

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