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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
Journal Article
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
Journal Article
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
Journal Article
ESAIM: Mathematical Modelling and Numerical Analysis, ISSN 0764-583X, 09/2015, Volume 49, Issue 5, pp. 1239 - 1260
Journal Article
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
Journal Article
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
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 06/2018, Volume 75, Issue 11, pp. 3918 - 3928
Journal Article
SIAM Journal on Control and Optimization, ISSN 0363-0129, 2018, Volume 56, Issue 4, pp. 2485 - 2512
Journal Article
International Journal of Applied Mathematics and Computer Science, ISSN 1641-876X, 06/2009, Volume 19, Issue 2, pp. 191 - 205
Journal Article
International Journal of Thermal Sciences, ISSN 1290-0729, 04/2016, Volume 102, pp. 122 - 136
Journal Article
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
Journal Article
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
Journal Article
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
Journal Article
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
Journal Article
Structural and Multidisciplinary Optimization, ISSN 1615-147X, 2009, Volume 39, Issue 6, pp. 589 - 606
Journal Article