Modeling Group

@article{amirat_1,

title = {Steady state solutions of ferrofluid flow model},

author = {Youcef Amirat and Kamel Hamdache},

url = {http://aimsciences.org//article/id/a2e59aa5-3139-4991-935d-1fce2bbae304},

year  = {2016},

date = {2016-11-01},

journal = {Communications On Pure And Applied Analysis},

volume = {15},

number = {6},

pages = {2329-2355},

abstract = {We study two models of differential equations for the stationary flow of an incompressible viscous magnetic fluid subjected to an external magnetic field. The first model, called Rosensweig's model, consists of the incompressible Navier-Stokes equations, the angular momentum equation, the magnetization equation of Bloch-Torrey type, and the magnetostatic equations. The second one, called Shliomis model, is obtained by assuming that the angular momentum is given in terms of the magnetic field, the magnetization field and the vorticity. It consists of the incompressible Navier-Stokes equation, the magnetization equation and the magnetostatic equations. We prove, for each of the differential systems posed in a bounded domain of R3 and equipped with boundary conditions, existence of weak solutions by using regularization techniques, linearization and the Schauder fixed point theorem.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{vanaei_2086,

title = {A review on pipeline corrosion, in-line inspection (ILI), and corrosion growth rate models},

author = {Hamidreza Vanaei and Eslami Abdoulmajid and Egbewande Afoulabi},

url = {https://doi.org/10.1016/j.ijpvp.2016.11.007},

year  = {2016},

date = {2016-11-01},

journal = {International Journal Of Pressure Vessels And Piping},

volume = {149},

number = {0},

pages = {43-54},

abstract = {Pipelines are the very important energy transmission systems. Over time, pipelines can corrode. While corrosion could be detected by in-line inspection (ILI) tools, corrosion growth rate prediction in pipelines is usually done through corrosion rate models. For pipeline integrity management and planning selecting the proper corrosion ILI tool and also corrosion growth rate model is important and can lead to significant savings and safer pipe operation. In this paper common forms of pipeline corrosion, state of the art ILI tools, and also corrosion growth rate models are reviewed. The common forms of pipeline corrosion introduced in this paper are Uniform/General Corrosion, Pitting Corrosion, Cavitation and Erosion Corrosion, Stray Current Corrosion, Micro-Bacterial Influenced Corrosion (MIC). The ILI corrosion detection tools assessed in this study are Magnetic Flux Leakage (MFL), Circumferential MFL, Tri-axial MFL, and Ultrasonic Wall Measurement (UT). The corrosion growth rate models considered in this study are single-value corrosion rate model, linear corrosion growth rate model, non-linear corrosion growth rate model, Monte-Carlo method, Markov model, TD-GEVD, TI-GEVD model, Gamma Process, and BMWD model. Strengths and limitations of ILI detection tools, and also corrosion predictive models with some practical examples are discussed. This paper could be useful for those whom are supporting pipeline integrity management and planning.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{tognevi_77,

title = {A multi-scale modeling method for heterogeneous structures without scale separation using a filter-based homogenization scheme},

author = {Amen Tognevi and Mohamed Guerich and Julien Yvonnet},

url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.5200},

year  = {2016},

date = {2016-10-01},

journal = {International Journal For Numerical Methods In Engineering},

volume = {108},

number = {1},

pages = {mars-25},

abstract = {A method is proposed to compute the response of highly heterogeneous structures by constructing homogenized models when no scale separation can be assumed. The technique is based on an extended homogenization scheme where the averaging operators are replaced by linear filters to cut off fine scale fluctuations, while maintaining locally varying mechanical fields with larger wavelength. As a result, the constitutive law at an intermediate scale, called mesoscale, arises to be naturally nonlocal by construction, where the kernel operator is fully constructed by computations on the unit cell associated with the microstructure.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{abdellatif_1689,

title = {A priori error analysis of the implicit Euler, spectral discretization of a nonlinear equation for a flow in a partially saturated porous media},

author = {Nahla Abdellatif and Christine Bernardi and Moncef Touihri and Driss Yakoubi},

url = {https://www.degruyter.com/document/doi/10.1515/apam-2016-0084/html},

year  = {2016},

date = {2016-08-01},

journal = {Advances in Pure and Applied Mathematics},

volume = {9},

number = {1},

pages = {1-27},

abstract = {The aim of this work is the numerical study of a nonlinear equation, which models the water flow in a partially saturated underground porous medium under the surface. We propose a discretization of this equation that combines Euler's implicit scheme in time and spectral methods in space. We prove optimal error estimates between the continuous and discrete solutions. Some numerical experiments confirm the interest of this approach. We present numerical experiments which are in perfect coherence with the analysis.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{hamdache_49,

title = {Global weak solutions to a model of micropolar fluids with maxwell-cattaneo heat transfer law},

author = {Kamel Hamdache and Djamila Hamroun and Asma Louardani},

url = {http://www.sciencedirect.com/science/article/pii/S0362546X16300529},

year  = {2016},

date = {2016-07-01},

journal = {Nonlinear Analysis-Theory Methods & Applications},

volume = {142},

pages = {69-96},

abstract = {This work is devoted to the study of a system describing the dynamics of a heated micropolar fluid under the action of an applied magnetic field. The heat transfer is subjected to Maxwell-Cattaneo law instead of the usual Fourier law. Thanks to regularization and compactness methods the global existence in time of weak solutions with finite energy has been proved.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{hubert_52,

title = {Influence of Biaxial Stress on Magnetic Behavior of Dual-Phase Steel-Experiments and Modeling},

author = {Olivier Hubert and Frédérick Sorel Mballa-Mballa and Song He and Sophie Depeyre},

url = {https://ieeexplore.ieee.org/document/7372462},

year  = {2016},

date = {2016-07-01},

journal = {Ieee Transactions On Magnetics},

volume = {52},

number = {5},

pages = {1-4},

abstract = {Online magnetic nondestructive evaluation (NDE) of dual-phase (DP) steels is made on bands submitted to high multiaxial stress. Extraction of microstructural information from the measurement requires separating the effect of stress and microstructure. Coupled magnetomechanical micromagnetic modeling is relevant for that purpose. In this paper, the magnetic behavior of a DP steel under biaxial stress is carried out and compared with the modeling. It is shown that the discrepancies observed between experiments and model can be explained by the 2-D assumption.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{hamdache_48,

title = {Global existence and long time behavior of solutions to a model of ferroelectric materials},

author = {Kamel Hamdache and Djamila Hamroun},

url = {https://www.sciencedirect.com/science/article/abs/pii/S0022247X16001177?via%3Dihub},

year  = {2016},

date = {2016-06-01},

journal = {Journal Of Mathematical Analysis And Applications},

volume = {438},

number = {2},

pages = {668-700},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{hoang_51,

title = {Determining the Size of RVE for Nonlinear Random Composites in an Incremental Computational Homogenization Framework},

author = {Trung Hieu Hoang and Mohamed Guerich and Julien Yvonnet},

url = {https://ascelibrary.org/doi/10.1061/%28ASCE%29EM.1943-7889.0001057},

year  = {2016},

date = {2016-05-01},

journal = {Journal Of Engineering Mechanics},

volume = {142},

number = {5},

pages = {4016018.1 -4016018.11},

abstract = {In this paper, the authors address the issue of determining the size of a representative volume element (RVE) in the case of nonlinear random composites with either elastoplastic or elasto-viscoplastic phases. In such a case, the general form of the effective constitutive behavior is not known in advance and the response must be evaluated either by direct numerical computations on the RVE or by an appropriate approximation scheme.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{yakoubi_1691,

title = {Spectral discretization of a model for organic pollution in waters},

author = {Driss Yakoubi},

url = {https://onlinelibrary-wiley-com.acces.bibl.ulaval.ca/doi/10.1002/mma.3899},

year  = {2016},

date = {2016-03-01},

journal = {Mathematical Methods In The Applied Sciences},

volume = {39},

number = {18},

pages = {5192-5202},

abstract = {We are interested in a mixed reaction diffusion system describing the organic pollution in stream-waters. In this work, we propose a mixed-variational formulation and recall its well-posedness. Next, we consider a spectral discretization of this problem and establish nearly optimal error estimates. Numerical experiments confirm the interest of this approach.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{guerard_627,

title = {Inscribed ball and enclosing box methods for the convex maximization problem},

author = {Guillaume Guérard and Ider Tseveendorj},

url = {https://link.springer.com/article/10.1007%2Fs11590-015-0981-5},

year  = {2015},

date = {2015-12-01},

journal = {Optimization Letters},

volume = {10},

number = {2},

pages = {417-432},

abstract = {Many important classes of decision models give rise to the problem of finding a global maximum of a convex function over a convex set. This problem is known also as concave minimization, concave programming or convex maximization. Such problems can have many local maxima, therefore finding the global maximum is a computationally difficult problem, since standard nonlinear programming procedures fail. In this article, we provide a very simple and practical approach to find the global solution of quadratic convex maximization problems over a polytope. A convex function achieves its global maximum at extreme points of the feasible domain. Since an inscribed ball does not contain any extreme points of the domain, we use the largest inscribed ball for an inner approximation while a minimal enclosing box is exploited for an outer approximation of the domain. The approach is based on the use of these approximations along with the standard local search algorithm and cutting plane techniques.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{yakoubi_1692,

title = {Spectral discretization of an unsteady flow through a porous solid},

author = {Driss Yakoubi},

url = {https://link-springer-com.acces.bibl.ulaval.ca/article/10.1007%2Fs10092-015-0168-6},

year  = {2015},

date = {2015-12-01},

journal = {Calcolo},

volume = {53},

pages = {659-690},

abstract = {We consider the non stationary flow of a viscous incompressible fluid in a rigid homogeneous porous medium provided with mixed boundary conditions. Since the boundary pressure can present high variations, the permeability of the medium also depends on the pressure, so that the problem is nonlinear. We propose a discretization of this equation that combines Euler's implicit scheme in time and spectral methods in space. We prove optimal a priori error estimates and present some numerical experiments which confirm the interest of the discretization.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{yakoubi_1693,

title = {Spectral discretization of Darcy's equations coupled with the heat equation},

author = {Driss Yakoubi},

url = {https://academic-oup-com.acces.bibl.ulaval.ca/imajna/article/36/3/1193/1751140#36218027},

year  = {2015},

date = {2015-10-01},

journal = {IMA Journal of Numerical Analysis},

volume = {36},

number = {3},

pages = {1193-1216},

abstract = {In this paper, we consider the heat equation coupled with Darcy's law with a nonlinear source term describing heat production due to an exothermic chemical reaction. The existence and uniqueness of a solution are established. Next, a spectral discretization of the problem is presented and thoroughly analysed. Finally, we present some numerical experiments which confirm the interest of the discretization.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{gaudiello_341,

title = {A reduced model for the polarization in a ferroelectric thin wire},

author = {Antonio Gaudiello and Kamel Hamdache},

url = {https://link.springer.com/article/10.1007%2Fs00030-015-0348-8},

year  = {2015},

date = {2015-04-01},

journal = {Nodea-Nonlinear Differential Equations And Applications},

volume = {22},

number = {6},

pages = {1883-1896},

abstract = {In this paper, starting from a non-convex and nonlocal 3Dvariational model for the electric polarization in a ferroelectric material, via an asymptotic process we obtain a rigorous 1D-variational model for a thin wire.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{yakoubi_1694,

title = {Finite element discretization of the Stokes and Navier--Stokes equations with boundary condition on the pressure},

author = {Driss Yakoubi},

url = {https://epubs-siam-org.acces.bibl.ulaval.ca/doi/10.1137/140972299},

year  = {2015},

date = {2015-04-01},

journal = {Siam Journal On Numerical Analysis},

volume = {53},

number = {3},

pages = {1256-1279},

abstract = {We consider the Stokes and Navier--Stokes equations with boundary conditions of Dirichlet type on the velocity on one part of the boundary and involving the pressure on the rest of the boundary. We write the variational formulations of such problems. Next we propose a finite element discretization of them and perform the a priori and a posteriori analysis of the discrete problem. Some numerical experiments are presented in order to justify our strategy.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{kanhonou_1709,

title = {A method to evaluate the 3D pseudo-kinematic of the osteoarthritic knee},

author = {Michèle Kanhonou and Thierry Cresson and Julien Clément and Frédéric Lavoie and Nicola Hagemeister and Jacques A. de Guise},

url = {https://www.oarsijournal.com/article/S1063-4584(15)00960-7/fulltext},

year  = {2015},

date = {2015-04-01},

journal = {Osteoarthritis And Cartilage},

volume = {23},

number = {Suppl2},

pages = {A117-A118},

abstract = {Purpose: Knee osteoarthritis (OA) is diagnosed and graded with a radiographic evaluation of the joint. However, there is no clear corre- lation between this grade and patient functional outcome scores (Sanghi et al. 2011; Zifchock et al. 2011, Alkan et al. 2013). This leads to the need of a quantitative and precise measure to represent the knee function. In the recent years, to evaluate healthy and OA knee function, the trend was to track skin markers displacements, known to be affected by soft tissue artefacts (Leardini et al., 2005). On the other hand, with imagery-based methods, 3D model acquired either from CT scan or Magnetic resonance imaging are matched on 2D fluoroscopic images (kinematics) or several radiographs (pseudo-kinematics) (Moro-Oka et al., 2006). With objects of known geometry in the radiographic scene (bone-embedded tantalum beads or prostheses), this matching allows attaining kinematic measurement accuracy <1 and <1mm. Without tantalum beads or prostheses, the process lacks reliability and accuracy. Thus, our goal is to present an intrinsic computation method - without any object added in the scene - and to validate its reliability on patients' images as well as its accuracy on simulated radiographs in a pseudo- kinematic context.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{clain_340,

title = {Particle size distribution of TBPB hydrates by focused beam reflectance measurement (FBRM) for secondary refrigeration application},

author = {Pascal Clain and Fatou-Toutie Ndoye and Anthony Delahaye and Laurence Fournaison and Wei Lin and Didier Dalmazzone},

url = {http://www.sciencedirect.com/science/article/pii/S0140700714002886},

year  = {2015},

date = {2015-03-01},

journal = {International Journal Of Refrigeration-Revue Internationale Du Froid},

volume = {50},

pages = {19-31},

abstract = {Particle size distribution of TBPB hydrates by focused beam reflectance measurement (FBRM) for secondary refrigeration application?,},

keywords = {},

pubstate = {published},

tppubtype = {article}

}