Mohamed Kamel Riahi
Mohamed Kamel Riahi
Assistant Professor of Mathematics
Department of Applied Mathematics and Sciences
+971 (0)2 401 8228
Dr. Mohamed K. Riahi earned his PhD in Applied Mathematics from Pierre et Marie Curie University, Paris, France. He has worked as a postdoc research associate in the Department of Mathematical Sciences at New Jersey Institute of Technology, USA, and in INRIA-Saclay Palaiseau France as a postdoc researcher, with DeFI Team.
Dr. Riahi is an expert in scientific computing and numerical analysis related to partial differential equations. His research includes and is not limited to: space- time-domain decomposition methods, finite element method, integral equations method, numerical optimization, iterative method, preconditioning technique, shape optimization, optimal control problem, high performance computing and parallel programming.
He applies his research on waves related problems (acoustics and electromagnetics), fluid-structure interaction, heat and mass transfer, and inverse problems.
Dr. Riahi is serving as referee for several peer reviewed applied mathematical journals.
- MATH 111-MATH212 Calculus
- MATH315 Advanced Linear Algebra
- MATH 412 Optimization
- MATH602 Advanced Numerical Methods (Master degree)
- MATH319-MATH419 Numerical Analysis and Scientific computing
- MATH316 Partial differential equations
- Partial Differential Equations: Finite element methods. Finite difference methods Integral equations Numerical Analysis
- Mathematical physics: Reaction diffusion systems Fluid-structure interaction Heat and Mass Transfer Computational fluid dynamics Acoustic wave propagation Electromagnetism & Eddy-current
- Robust solver: Domain decomposition method Parareal in time method High performance computing Parallel programming
- Optimization and Inverse problems: Optimal Control Shape optimization Parameters Estimation
- I. A. Qattan, D. Homouz, and M. K. Riahi Improved extraction of two-photon exchange amplitudes from elastic electron-proton scattering cross section data up to Q^2=5.20(GeV/c)2, Phys. Rev. C , Accepted 30 March 2018.
- Marina Astanina, Mohamed Kamel RIAHI, Eiyad Abu-Nada and Mikhail Sheremet: Magnetohydrodynamic in partially heated square cavity with variable properties: Discrepancy in experimental and theoretical conductivity correlations International Journal of Heat and Mass Transfer 2017 Volume 116, January 2018, Pages 532-548, ISSN 0017-9310, https://doi.org/10.1016/j.ijheatmasstransfer.2017.09.050.)
- Boubendir, Y; Riahi, M. K.; and Turc: Well-posed boundary integral equation formulations and Nyström discretization for the solution of Helmholtz problems with impedance boundary conditions in two-dimensional Lipschitz domains. Journal of Integral Equations and Applications Volume 29, Number 3 (2017), 441-472. https://projecteuclid.org/euclid.jiea/1502676097
- Haddar, H.; Jiang, Z.; and Riahi, M. K. : A Robust Inversion Method for Quantitative 3D Shape Reconstruction from Coaxial Eddy Current Measurements, Journal of Scientific Computing, January 2017, Volume 70, Issue 1, pp 29–59. https://doi.org/10.1007/s10915-016-0241-6
- M. K. Riahi, J. Salomon, S. J. Glaser, and D. Sugny: Fully efficient time-parallelized quantum optimal control algorithm, Phys. Rev. A 93, Vol. 93, Iss. 4 043410 – Published 13 April 2016. https://journals.aps.org/pra/abstract/10.1103/PhysRevA.93.043410
- Mohamed Kamel Riahi: A fast eddy-current non destructive testing finite element solver in steam generator, Journal of Coupled Systems and Multiscale Dynamics, Volume 4, Number 1, April 2016, pp. 60-68(9): American Scientific Publishers. https://doi.org/10.1166/jcsmd.2016.1096
- Mohamed Kamel Riahi: A new approach to improve ill-conditioned parabolic optimal control problem via time domain decomposition,Numerical Algorithms Journal, July 2016, Volume 72, Issue 3, pp 635–666. https://doi.org/10.1007/s11075-015-0060-0
- Anne-Marie Baudron and Jean-Jacques Lautard and Yvon Maday and Mohamed Kamel Riahi and Julien Salomon: Parareal in time 3D numerical solver for the LWR Benchmark neutron diffusion transient model. Journal of Computational Physics, Volume 279 react-text: 70 , /react-text react-text: 71 15 December 2014 /react-text react-text: 72 , Pages 67-79. https://doi.org/10.1016/j.jcp.2014.08.037
- Yvon Maday, Mohamed-Kamel Riahi and Julien Salomon: Parareal in Time Intermediate Targets Methods for Optimal Control Problems. Control and Optimization with PDE Constraints pp 79-92. International Series of Numerical Mathematics book series (ISNM, volume 164). https://doi.org/10.1007/978-3-0348-0631-2_5
- Y. Maday, O. Mula, M. K. RIAHI. Towards a fully scalable balanced parareal method: application to neutronics (working Preprint). https://hal.archives-ouvertes.fr/hal-01184303
- Haddar, H; and Riahi, M. 3D direct and inverse solvers for eddy current testing of deposits in steam generator. Inria Research Report. July 2014. https://arxiv.org/abs/1502.06723
- Maday, Y.; Riahi, M. and Salomon. An intermediate target method for the control of parabolic systems. TAMTAM’11 Conference. Sousse. TN (2011). https://arxiv.org/abs/1110.4084
- Riahi, M. K.: Conception et analyse d’algorithmes parallèles en temps pour l’accélération de simulations numériques d’équations d’évolution. Ph.D. Thesis, Université Pierre et Marie Curie, Paris 6, Jussieu, 2012. https://tel.archives-ouvertes.fr/tel-00870821