Parallel solution of the discretized and linearized G-heat equation

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.
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Submitted on : Wednesday, April 3, 2019 - 4:09:56 PM
Last modification on : Thursday, October 24, 2019 - 2:44:12 PM

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Pierre Spitéri, Amar Ouaoua, Ming Chau, Hacène Boutabia. Parallel solution of the discretized and linearized G-heat equation. International Journal of High Performance Computing and Networking, Inderscience, 2018, 11 (1), pp.66-82. ⟨10.1504/IJHPCN.2018.088880⟩. ⟨hal-02089321⟩

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