Search Results - "Farhloul, M."
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Mixed formulation of a stationary seawater intrusion problem in confined aquifers
Published in Numerical algorithms (01-10-2022)“…We consider a model mixing sharp and diffuse interface approaches for seawater intrusion phenomenon in confined aquifers. The problem consists of a strongly…”
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A priori error estimation for the dual mixed finite element method of the elastodynamic problem in a polygonal domain, II
Published in Journal of computational and applied mathematics (2011)“…In this paper we analyze a new dual mixed formulation of the elastodynamic system in polygonal domains by using an implicit scheme for the time discretization…”
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A priori error estimation for the dual mixed finite element method of the elastodynamic problem in a polygonal domain, I
Published in Journal of computational and applied mathematics (01-09-2009)“…In this paper we analyze a new dual mixed formulation of the elastodynamic system in polygonal domains. In this formulation the symmetry of the strain tensor…”
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A posteriori error estimation for the dual mixed finite element method for the p-Laplacian in a polygonal domain
Published in Computer methods in applied mechanics and engineering (01-05-2007)“…For the discrete solution of the dual mixed formulation for the p-Laplace equation, we define two residues R and r. Then we bound the norm of the errors on the…”
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5
A mixed-hybrid finite element method for convection–diffusion problems
Published in Applied mathematics and computation (15-12-2005)“…A mixed-hybrid finite element method for scalar diffusion–convection problems is presented. In this method, the lowest degree Raviart–Thomas finite element is…”
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A mixed formulation of Boussinesq equations: Analysis of nonsingular solutions
Published in Mathematics of computation (01-07-2000)“…This paper is concerned with the mixed formulation of the Bous\-sinesq equations in two-dimensional domains and its numerical approximation. The paper deals…”
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A Posteriori Error Estimation for the Dual Mixed Finite Element Method of the Stokes Problem
Published in Numerical functional analysis and optimization (01-12-2006)“…The paper presents an a posteriori error estimator of residual type for the stationary Stokes problem in a possibly multiply-connected polygonal domain of the…”
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Mixed finite element analysis of a non‐linear three‐fields Stokes model
Published in IMA journal of numerical analysis (01-01-2001)“…In this article, a mixed finite element analysis of the non‐linear Stokes problem with monotone constitutive laws is considered. We construct a new three‐field…”
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A posteriori error estimation for the dual mixed finite element method of the elasticity problem in a polygonal domain
Published in Numerical methods for partial differential equations (01-09-2005)“…In this article, we propose a residual based reliable and efficient error estimator for the new dual mixed finite element method of the elasticity problem in a…”
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Review and complements on mixed-hybrid finite element methods for fluid flows
Published in Journal of computational and applied mathematics (01-03-2002)“…Mixed and hybrid finite element methods for the resolution of a wide range of linear and nonlinear boundary value problems (linear elasticity, Stokes problem,…”
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Journal Article Conference Proceeding -
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A mixed finite element method for a quasi-Newtonian fluid flow
Published in Numerical methods for partial differential equations (01-11-2004)“…We propose a mixed formulation for quasi‐Newtonian fluid flow obeying the power law where the stress tensor is introduced as a new variable. Based on such a…”
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Refined mixed finite element method for the elasticity problem in a polygonal domain
Published in Numerical methods for partial differential equations (01-05-2002)“…The purpose of this article is to study a mixed formulation of the elasticity problem in plane polygonal domains and its numerical approximation. In this mixed…”
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A refined mixed finite element method for the boussinesq equations in polygonal domains
Published in IMA journal of numerical analysis (01-04-2001)“…This paper deals with the mixed formulation of the Boussinesq equations in two‐dimensional polygonal domains and its numerical approximation. The steady…”
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A new mixed finite element method for the Stokes problem
Published in Journal of mathematical analysis and applications (01-12-2002)“…We propose a new mixed formulation of the Stokes problem where the extra stress tensor is considered. Based on such a formulation, a mixed finite element is…”
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A New Mixed Finite Element for the Stokes and Elasticity Problems
Published in SIAM journal on numerical analysis (01-08-1993)“…The Stokes problem is approximated by a mixed finite element method using a new finite element, which has properties analogous to the finite volume methods,…”
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A mixed finite element method for a Ladyzhenskaya model
Published in Computer methods in applied mechanics and engineering (30-08-2002)“…We study a mixed finite element approximation of a model proposed by Ladyzhenskaya for stationary incompressible viscous flow. We give existence and uniqueness…”
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Analysis of non-singular solutions of a mixed Navier-Stokes formulation
Published in Computer methods in applied mechanics and engineering (1996)“…A mixed finite element method is used for the numerical solution of the stationary Navier-Stokes equations. In this formulation the pressure, the velocity and…”
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A priori and a posteriori error estimations for the dual mixed finite element method of the Navier-Stokes problem
Published in Numerical methods for partial differential equations (01-07-2009)“…This article is concerned with a dual mixed formulation of the Navier‐Stokes system in a polygonal domain of the plane with Dirichlet boundary conditions and…”
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A mixed finite element method for a nonlinear Dirichlet problem
Published in IMA journal of numerical analysis (01-01-1998)“…We study a mixed finite element approximation of a nonlinear Dirichlet problem in both two and three dimensions. This study is a first step towards the…”
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