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1. Existence and uniqueness of a transient state for the coupled radiative–conductive heat transfer problem
by Mohamed Ghattassi and Jean Rodolphe Roche and Didier Schmitt
Computers & Mathematics with Applications, ISSN 0898-1221, 06/2018, Volume 75, Issue 11, p. 3918
This paper deals with existence and uniqueness results for a transient nonlinear radiative–conductive system in three-dimensional case. This system describes... 
Conductive heat transfer | Fixed points (mathematics) | Existence theorems | Radiation | Uniqueness | Banach spaces | Heat conductivity | Nonlinear systems | Heat transfer
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2. Full Text Analysis of a full discretization scheme for 2D radiative–conductive heat transfer systems
by Ghattassi, Mohamed and Roche, Jean Rodolphe and Schmitt, Didier
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2019, Volume 346, pp. 1 - 17
This paper deals with the convergence of numerical scheme for combined nonlinear radiation–conduction heat transfer system in a gray, absorbing and... 
Error estimates | Galerkin method | Radiative–conductive heat transfer | Crank–Nicolson scheme | Banach fixed point theorem | MATHEMATICS, APPLIED | APPROXIMATIONS | EQUATIONS | SLAB GEOMETRY | DISCRETE-ORDINATES METHOD | ORDER | Crank-Nicolson scheme | Radiative-conductive heat transfer | NEUTRON-TRANSPORT | CONVERGENCE
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3. Full Text Analysis of a full discretization scheme for a 2D nonlinear coupled system of radiative-conductive heat transfer equations
by Ghattassi, Mohamed and Roche, Jean-Rodolphe and Schmitt, Didier
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2019, Volume 346, pp. 1 - 17
This paper deals with the convergence of numerical scheme for combined nonlinear radiation–conduction heat transfer system in a gray, absorbing and... 
Analysis of PDEs | Numerical Analysis | Mathematics
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4. Full Text Fluorescence molecular imaging based on the adjoint radiative transport equation
by Asllanaj, Fatmir and Addoum, Ahmad and Roche, Jean Rodolphe
Inverse Problems, ISSN 0266-5611, 05/2018, Volume 34, Issue 7, p. 75009
A new reconstruction algorithm for fluorescence diffuse optical tomography of biological tissues is proposed. The radia-tive transport equation in the... 
modified finite volume method | Lagrangian formulation | biological tissue | fluorescence molecular imaging, radiative transport equation | frequency domain | adjoint method | Modeling and Simulation | Computer Science | Medical Imaging
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5. Full Text Existence and uniqueness of a transient state for the coupled radiative–conductive heat transfer problem
by Ghattassi, Mohamed and Roche, Jean Rodolphe and Schmitt, Didier
Computers and Mathematics with Applications, ISSN 0898-1221, 06/2018, Volume 75, Issue 11, pp. 3918 - 3928
This paper deals with existence and uniqueness results for a transient nonlinear radiative–conductive system in three-dimensional case. This system describes... 
Semi-transparent medium | Existence-uniqueness result | Nonlinear radiative–conductive heat transfer system | Banach fixed point theorem | SYSTEM | MATHEMATICS, APPLIED | GLASS COOLING PROCESSES | SOLVABILITY | BOUNDARY-CONDITION | FINITE-VOLUME METHOD | NONSTATIONARY PROBLEM | Nonlinear radiative-conductive heat transfer system | LATTICE BOLTZMANN METHOD | BODIES | EQUATION | Mathematics - Analysis of PDEs
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6. Full Text Reduced order observer of finite dimensional radiative-conductive heat transfer system
by Ghattassi, Mohamed and Boutayeb, Mohamed and Roche, Jean Rodolphe
SIAM Journal on Control and Optimization, ISSN 0363-0129, 2018, Volume 56, Issue 4, pp. 2485 - 2512
This article deals with a finite dimensional reduced order state observer for a class of nonlinear partial differential equations (PDEs) described by a... 
Nonlinear heat transfer systems | H analysis | Reduced order observer | Galerkin method | Linear matrix inequalities (LMIs) | MATHEMATICS, APPLIED | DESIGN | H-infinity analysis | reduced order observer | STABILIZATION | nonlinear heat transfer systems | linear matrix inequalities (LMIs) | BOUNDARY CONTROL | AUTOMATION & CONTROL SYSTEMS | Engineering Sciences | Automatic
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7. Shape optimization for inverse electromagnetic casting problems
by Jean Rodolphe Roche and Alfredo Canelas and José Herskovits
Inverse Problems in Science and Engineering, ISSN 1741-5977, 10/2012, Volume 20, Issue 7, p. 951
  In this article we present an algorithm for inverse optimization problems concerning electromagnetic casting of molten metals. We are interested in locating... 
Casting | Inverse problems | Algorithms | Electromagnetics | Optimization | Mathematical programming
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8. Full Text A feasible direction algorithm for general nonlinear semidefinite programming
by Roche, Jean Rodolphe and Roche, Jean Rodolphe and Herskovits, José and Herskovits, José and Bazán, Elmer and Bazán, Elmer and Zúñiga, Andrés and Zúñiga, Andrés
Structural and Multidisciplinary Optimization, ISSN 1615-147X, 4/2017, Volume 55, Issue 4, pp. 1261 - 1279
This paper deals with nonlinear smooth optimization problems with equality and inequality constraints, as well as semidefinite constraints on nonlinear... 
Engineering | Computational Mathematics and Numerical Analysis | Semidefinite programming | Feasible directions | Structural optimization | Nonlinear optimization | Engineering Design | Interior-point methods | Theoretical and Applied Mechanics | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MECHANICS | FREE MATERIAL OPTIMIZATION | ENGINEERING, MULTIDISCIPLINARY | SUCCESSIVE LINEARIZATION METHODS | CONSTRAINTS | Finite element method | Linear systems | Algorithms | Nonlinear programming | Iterative methods | Matrix methods | Descent | Optimization | Convergence | Mathematical programming
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9. Full Text Galerkin method for solving combined radiative and conductive heat transfer
by Ghattassi, M and Roche, J.R and Asllanaj, F and Boutayeb, M
International Journal of Thermal Sciences, ISSN 1290-0729, 04/2016, Volume 102, pp. 122 - 136
This article deals with a numerical solution for combined radiation and conduction heat transfer in a gray absorbing and emitting medium applied to a... 
Radiative transfer equation | Galerkin method | Energy equation | Error estimation | Newton method | ENGINEERING, MECHANICAL | SCHEME | FINITE-VOLUME METHOD | ELEMENT FORMULATION | TRANSPORT | THERMODYNAMICS | ENCLOSURES | LATTICE BOLTZMANN METHOD | MEDIA | TRANSFER EQUATIONS | Algorithms | Numerical analysis | Analysis | Methods | Finite element method | Stability | Computer simulation | Mathematical analysis | Mathematical models | Radiative transfer | Galerkin methods | Heat transfer | Numerical Analysis | Mathematics
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10. Full Text A new method for inverse electromagnetic casting problems based on the topological derivative
by Canelas, Alfredo and Andre Antonio, Novotny and Roche, Jean Rodolphe
Journal of Computational Physics, ISSN 0021-9991, 05/2011, Volume 230, Issue 9, pp. 3570 - 3588
The inverse electromagnetic casting problem consists in looking for a suitable set of electric wires such that the electromagnetic field induced by an... 
Mathematics | Optimization and Control
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11. Full Text Electromagnetic wave propagation and absorption in magnetised plasmas: Variational formulations and domain decomposition
by Back, Aurore and Hattori, Takashi and Labrunie, Simon and Roche, Jean-Rodolphe and Bertrand, Pierre
ESAIM: Mathematical Modelling and Numerical Analysis, ISSN 0764-583X, 09/2015, Volume 49, Issue 5, pp. 1239 - 1260
We consider a model for the propagation and absorption of electromagnetic waves (in the time-harmonic regime) in a magnetised plasma. We present a rigorous... 
Domain decomposition | Maxwell's equations | Magnetised plasma | MATHEMATICS, APPLIED | LIPSCHITZ POLYHEDRA | domain decomposition | TRACES | FINITE-ELEMENT-METHOD | MAXWELLS EQUATIONS | Formulations | Dielectric strength | Tensors | Wave propagation | Absorption | Dielectric properties | Electromagnetic radiation | Boundary conditions | Mathematical models | Plasmas | Well posed problems | Mathematics | Plasma Physics | Analysis of PDEs | Physics | General Mathematics
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12. Full Text A feasible direction interior point algorithm for nonlinear semidefinite programming
by Aroztegui, Miguel and Aroztegui, Miguel and Herskovits, José and Herskovits, José and Roche, Jean Rodolphe and Roche, Jean Rodolphe and Bazán, Elmer and Bazán, Elmer
Structural and Multidisciplinary Optimization, ISSN 1615-147X, 12/2014, Volume 50, Issue 6, pp. 1019 - 1035
We present a new algorithm for nonlinear semidefinite programming, based on the iterative solution in the primal and dual variables of Karush-Kuhn-Tucker... 
Engineering | Computational Mathematics and Numerical Analysis | Semidefinite programming | Feasible directions | Nonlinear optimization | Engineering Design | Interior-point methods | Theoretical and Applied Mechanics | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MECHANICS | FREE MATERIAL OPTIMIZATION | ENGINEERING, MULTIDISCIPLINARY | SUCCESSIVE LINEARIZATION METHODS | TRUSS TOPOLOGY DESIGN | CONVERGENCE | CONSTRAINTS | Algorithms | Linear systems | Robustness (mathematics) | Iterative solution | Topology optimization | Feasibility | Nonlinear programming | Iterative methods | Matrix methods | Mathematical programming | Numerical Analysis | Mathematics
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13. Full Text A new method for inverse electromagnetic casting problems based on the topological derivative
by Canelas, Alfredo and Novotny, Antonio A and Roche, Jean R
Journal of Computational Physics, ISSN 0021-9991, 2011, Volume 230, Issue 9, pp. 3570 - 3588
The inverse electromagnetic casting problem consists in looking for a suitable set of electric wires such that the electromagnetic field induced by an... 
Topological asymptotic analysis | Electromagnetic casting | Topological derivatives | Inverse problem | SHAPE OPTIMIZATION | ALGORITHM | LIQUID-METALS | PHYSICS, MATHEMATICAL | GRADIENT | SELF-ADJOINT EXTENSIONS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | CONDUCTIVITY | IMPEDANCE TOMOGRAPHY | SENSITIVITY-ANALYSIS | BOUNDARY | Electromagnetism | Mathematical optimization | Analysis | Methods | Inverse | Mathematical models | Derivatives | Topology | Electric wire | Electromagnetic fields | Inductors | Levitation casting | Optimization | Numerical Analysis | Mathematics
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14. Full Text Topology design of inductors in electromagnetic casting using level-sets and second order topological derivatives
by Canelas, Alfredo and Canelas, Alfredo and Novotny, Antonio A and Novotny, Antonio A and Roche, Jean R and Roche, Jean R
Structural and Multidisciplinary Optimization, ISSN 1615-147X, 12/2014, Volume 50, Issue 6, pp. 1151 - 1163
We propose a new iterative method for the topology design of the inductors in electromagnetic casting. The method is based on a level-set representation of the... 
Engineering | Computational Mathematics and Numerical Analysis | Engineering Design | Theoretical and Applied Mechanics | Topological asymptotic analysis | Electromagnetic casting | Topological derivatives | Inverse problem | SHAPE OPTIMIZATION | ALGORITHM | LIQUID-METALS | GRADIENT | SMALL INHOMOGENEITIES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | BOUNDARY MEASUREMENTS | CONDUCTIVITY | IMPEDANCE TOMOGRAPHY | SENSITIVITY-ANALYSIS | FUNCTIONALS | Circuit components | Electromagnetism | Design and construction | Metal castings industry | Analysis | Derivatives | Topology | Iterative methods | Inductors | Levitation casting | Numerical Analysis | Mathematics | Optimization and Control
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15. Full Text Topology optimization in electromagnetic casting via quadratic programming
by Canelas, Alfredo and Roche, Jean R
Inverse Problems in Science and Engineering, ISSN 1741-5977, 04/2014, Volume 22, Issue 3, pp. 419 - 435
A new optimization method is proposed for solving an inverse problem concerning the shape and topology of the inductors used in the electromagnetic casting... 
inverse problem | electromagnetic casting | interior-point methods | topology optimization | quadratic programming | 65R32 | SHAPE OPTIMIZATION | FLUID DYNAMICS EMFD | LIQUID-METALS | FLOW | LEVITATION | 90C51 | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | 90C90 | 65K10 | MAGNETIC-FIELD | BOUNDARY | 49Q10 | Inductors | Numerical Analysis | Mathematics
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16. Full Text Topological derivatives for semilinear elliptic equations
by Iguernane, Mohamed and Nazarov, Serguei and Roche, Jean-Rodolphe and Sokolowski, Jan and Szulc, Katarzyna
International Journal of Applied Mathematics and Computer Science, ISSN 1641-876X, 06/2009, Volume 19, Issue 2, pp. 191 - 205
The form of topological derivatives for an integral shape functional is derived for a class of semilinear elliptic equations. The convergence of finite element... 
Topological derivative | Asymptotic analysis | Variational inequality | Levelset method | Shape optimization | MATHEMATICS, APPLIED | topological derivative | shape optimization | levelset method | asymptotic analysis | variational inequality | FUNCTIONALS | AUTOMATION & CONTROL SYSTEMS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Analysis of PDEs | Mathematics
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17. Full Text Shape optimization for inverse electromagnetic casting problems
by Roche, Jean Rodolphe and Canelas, Alfredo and Herskovits, José
Inverse Problems in Science and Engineering, ISSN 1741-5977, 10/2012, Volume 20, Issue 7, pp. 951 - 972
In this article we present an algorithm for inverse optimization problems concerning electromagnetic casting of molten metals. We are interested in locating... 
interior point methods | 65R32 | inverse problem | electromagnetic casting | 90C51 | shape optimization | FAIPA | 90C90 | 65K10 | 49Q10 | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | BOUNDARY | LIQUID-METALS | Numerical Analysis | Mathematics
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18. Full Text Local existence and uniqueness of the mild solution to the 1D Vlasov–Poisson system with an initial condition of bounded variation
by Labrunie, Simon and Marchal, Sandrine and Roche, Jean‐Rodolphe
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 11/2010, Volume 33, Issue 17, pp. 2132 - 2142
We propose a result of local existence and uniqueness of a mild solution to the one‐dimensional Vlasov–Poisson system. We establish the result for an initial... 
Banach contraction mapping principle | Vlasov–Poisson system | bounded variation functions | Vlasov-Poisson system | MATHEMATICS, APPLIED | 3 DIMENSIONS | GLOBAL WEAK SOLUTIONS | MAXWELL SYSTEM | EQUATION | Continuity | Initial conditions | Mathematical analysis | Uniqueness | Analysis of PDEs | Mathematics
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19. Full Text Inductor shape optimization for electromagnetic casting
by Canelas, Alfredo and Roche, Jean R and Herskovits, José
Structural and Multidisciplinary Optimization, ISSN 1615-147X, 2009, Volume 39, Issue 6, pp. 589 - 606
The design of inductors in electromagnetic shaping of molten metals consists in looking for the position and the shape of a set of electric wires such that the... 
Free boundary | Electromagnetic shaping | Nonlinear optimization | Inverse problem | MAGNETIC LIQUID | TOPOLOGY | DESIGN | FREE-BOUNDARY | ALGORITHMS | LEVITATION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | METALS | Circuit components | Algorithms | Electromagnetism | Mechanical engineering | Mathematical optimization | Formulations | Casting | Shape optimization | Liquid metals | Electromagnetic fields | Inductors | Pressure | Geometric constraints | Levitation casting | Design optimization | Mathematics | Optimization and Control
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20. Full Text The inverse electromagnetic shaping problem
by Canelas, Alfredo and Canelas, Alfredo and Roche, Jean R and Roche, Jean R and Herskovits, José and Herskovits, José
Structural and Multidisciplinary Optimization, ISSN 1615-147X, 5/2009, Volume 38, Issue 4, pp. 389 - 403
The inverse problem concerning electromagnetic casting of molten metals consists of looking for an electric current density distribution such that the induced... 
Engineering | Computational Mathematics and Numerical Analysis | Free boundary | Nonlinear optimization | Electromagnetic shaping | Engineering Design | Theoretical and Applied Mechanics | Inverse problem | MAGNETIC LIQUID | DESIGN | FREE-BOUNDARY | ALGORITHMS | LEVITATION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | METALS | OPTIMIZATION | Algorithms | Electromagnetism | Mechanical engineering | Mathematical optimization | Formulations | Inverse problems | Current distribution | Queuing theory | Liquid metals | Density distribution | Electromagnetic fields | Inductors | Pressure | Levitation casting | Optimization | Mathematics | Optimization and Control
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