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pro vyhledávání: '"Sayah, Toni"'
In this paper, we study an optimal control problem for a coupled non-linear system of reaction-diffusion equations with degenerate diffusion, consisting of two partial differential equations representing the density of cells and the concentration of
Externí odkaz:
http://arxiv.org/abs/2407.07519
In this paper we consider the time dependent Porous Medium Equation, $u_t = \Delta u^\gamma$ with real polytropic exponent $\gamma>1$, subject to a homogeneous Dirichlet boundary condition. We are interested in recovering $\gamma$ from the knowledge
Externí odkaz:
http://arxiv.org/abs/2402.19056
In this work we derive a posteriori error estimates for the convection-diffusion-reaction equation coupled with the Darcy-Forchheimer problem by a nonlinear external source depending on the concentration of the fluid. We introduce the variational for
Externí odkaz:
http://arxiv.org/abs/2212.13247
This work deals with the a posteriori error estimates for the Darcy-Forchheimer problem. We introduce the corresponding variational formulation and discretize it by using the finite-element method. A posteriori error estimate with two types of comput
Externí odkaz:
http://arxiv.org/abs/2202.11643
Autor:
Sayah, Toni
In this paper, we study the "a posteriori" error estimate corresponding to the Brinkman-Darcy-Forchheimer problem. We introduce the variational formulation discretised by using the finite element method. Then, we establish an "a posteriori" error est
Externí odkaz:
http://arxiv.org/abs/2104.13752
Autor:
Sayah, Toni
This paper deals with the Darcy-Forchheimer problem with two kinds of boundary conditions. We discretize the system by using the finite element methods and we propose two iterative schemes to solve the discrete problems. The well-posedness and the co
Externí odkaz:
http://arxiv.org/abs/2104.04864
Autor:
TRIKI, FAOUZI1 faouzi.triki@univ-grenoble-alpes.fr, SAYAH, TONI2 toni.sayah@usj.edu.lb, SEMAAN, GEORGES2 georges.semaan2@net.usj.edu.lb
Publikováno v:
International Journal of Numerical Analysis & Modeling. 2024, Vol. 21 Issue 1, p65-103. 39p.
Akademický článek
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Autor:
Sayah, Toni
In this paper, we aim to compute numerical approximation integral by using an adaptive Monte Carlo algorithm. We propose a stratified sampling algorithm based on an iterative method which splits the strata following some quantities called indicators
Externí odkaz:
http://arxiv.org/abs/1507.05721
Autor:
Sayah, Toni
Publikováno v:
In Mathematics and Computers in Simulation March 2019 157:143-158