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The asynchronous iterations applied to the modified porous medium equation

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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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)
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 - 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 20 Août 1955 Skikda (ALGERIA)
Other partners > Université Badji Mokhtar - Annaba (ALGERIA)
Laboratory name:
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Deposited By: IRIT IRIT
Deposited On:09 Apr 2019 14:36

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