Khochemane, Houssem and Boutabia, Hacène and Spitéri, Pierre and Chau, Ming
The asynchronous iterations applied to the modified porous medium equation.
(2017)
In: Journées Scientifiques Nationales (JSN 2017), 20 November 2017 (Skikda, Algeria).
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(Document in English)
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Abstract
The purpose of this work is to establish the existence and uniqueness of the solution of the porous medium equation where the solution is subject to certain constraints, for the boundary conditions of Dirichlet and resolve it by different numerical methods. After a appropriate change of variables, we consider an implicit time discretization scheme that leads to solve at each time a sequence of nonlinear stationary problems. For each stationary problem, we use a spatial discretization that leads to each time to solve a multivalued large nonlinear algebraic system. Finally, we applied subdomain asynchronous parallel methods without overlapping and we established the convergence by a contraction technique.
Item Type: | Conference or Workshop Item (Paper) |
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HAL Id: | hal-02124419 |
Audience (conference): | National conference proceedings |
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 20 Août 1955 Skikda (ALGERIA) Other partners > Université Badji Mokhtar - Annaba (ALGERIA) |
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Deposited On: | 09 Apr 2019 14:36 |
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