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Les Méthodes Multigrilles pour Les Inéquations Quasi Variationnelles Elliptique (رقم التسجيلة. 15432)

تفاصيل مارك
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a بقاص, محمد
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a Les Méthodes Multigrilles pour Les Inéquations Quasi Variationnelles Elliptique
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b
c 2023
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c THESIS
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c 15432
d 15432
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9 38301
a MAIN
b MAIN
d 2026-06-02
o TD515/009/01
p MAIN-1-14102
y THESIS
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-- In this dissertation, multigrid methods have been investigated for solving certain classes of obstacle problems. In the first part of this thesis, we investigated the solution of elliptic quasi-variational inequalities arising in discretization by the finite element method, in this case, we have chosen a linear right-hand side and the variational form associated with linear operator. For these problems, we have proposed a standard multigrid approach for solving a linear system obtained. Otherwise, we have proposed a nonlinear multigrid method for elliptic quasi-variational inequalities with nonlinear source terms and nonlinear variational form.<br/> The L_?-norm convergence of these two approaches has been constructed which demonstrates that the multigrid method has a contraction number with respect to the L_?-norm. Numerical results which demonstrate the high efficiency of these methods are given for a quasi-variational inequality arising from impulse control problem on a domain with nonpolygonal boundaries. From these numerical results, we have seen that the multigrid method proves to be more efficient than the other iterative methods.
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-- /Les//Mťhodes//Multigrilles//pour//Les//Inq̌uations//Quasi//Variationnelles//Elliptique/
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-- Les Méthodes Multigrilles pour Les Inéquations Quasi Variationnelles Elliptique

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