22 citations · 39 across the 11 of their papers we have counts for
14 papers
Combinatorial and Recurrent Approaches for Efficient Matrix Inversion: Sub-cubic algorithms leveraging Fast Matrix products
Mohamed Kamel Riahi
In this paper, we introduce novel fast matrix inversion algorithms that leverage triangular decomposition and recurrent formalism, incorporating Strassen's fast matrix multiplicati…
Numerical Fréchet derivatives of the displacement tensor for 2.5-D frequency-domain seismic full-waveform inversion in viscoelastic TTI media
Qingjie Yang, Bing Zhou, Marcus Engsig +3
Derivatives of the displacement tensor with respect to the independent model parameters of the subsurface, also called Fréchet derivatives (or sensitivity kernels), are a key ingre…
PiTSBiCG: Parallel in Time Stable Bi-Conjugate Gradient Algorithm
Mohamed Kamel Riahi
This paper presents a new algorithm for the parallel in time (PiT) numerical simulation of time dependent partial/ordinary differential equations. We propose a reliable alternative…
Near-Field Linear Sampling Method forAxisymmetric Eddy Current Tomography
H. Haddar, M. K. Riahi
This paper is concerned with Eddy-Current (EC) nondestructive testing of conductive materials and focuses, in particular, on extending the well-known LinearSampling Method (LSM) to…
Combined Newton-Raphson and Streamlines-Upwind Petrov-Galerkin iterations for nano-particles transport in buoyancy driven flow
M. K. Riahi, M. Ali, Y. Addad +1
The present study deals with the finite element discretization of nanofluid convective transport in an enclosure with variable properties. We study the Buongiorno model, which coup…
Linearly convergent nonlinear conjugate gradient methods for a parameter identification problems
Mohamed Kamel Riahi, Issam Al Qattan
This paper presents a general description of a parameter estimation inverse problem for systems governed by nonlinear differential equations. The inverse problem is presented using…
Well-conditioned boundary integral equation formulations and Nyström discretizations for the solution of Helmholtz problems with impedance boundary conditions in two-dimensional Lipschitz domains
Catalin Turc, Yassine Boubendir, Mohamed Kamel Riahi
We present a regularization strategy that leads to well-conditioned boundary integral equation formulations of Helmholtz equations with impedance boundary conditions in two-dimensi…
A Fast Eddy-current Non Destructive Testing Finite Element Solver in Steam Generator
Mohamed Kamel Riahi
In this paper we present an advanced numerical method to simulate a real life challenging industrial problem that consists of the non-destructive testing in steam generators. We de…
Improved non-overlapping domain decomposition algorithms for the eddy current problem
Y. Boubendir, H. Haddar, M. K. Riahi
A domain decomposition method is proposed based on carefully chosen impedance transmission operators for a hybrid formulation of the eddy current problem. Preliminary analysis and…
A robust inversion method for quantitative 3D shape reconstruction from coaxial eddy-current measurements
Houssem Haddar, Mohamed Kamel Riahi, Zixian Jiang
This work is motivated by the monitoring of conductive clogging deposits in steam generator at the level of support plates. One would like to use monoaxial coils measurements to ob…
3D direct and inverse solvers for eddy current testing of deposits in steam generator
Houssem Haddar, Mohamed Kamel Riahi
We consider the inverse problem of estimating the shape profile of an unknown deposit from a set of eddy current impedance measurements. The measurements are acquired with an axial…
Parareal in time 3D numerical solver for the LWR Benchmark neutron diffusion transient model
Anne-Marie A. -M. Baudron, Jean-Jacques Lautard, Yvon Maday +2
We present a parareal in time algorithm for the simulation of neutron diffusion transient model. The method is made efficient by means of a coarse solver defined with large time st…
A new approach to improve ill-conditioned parabolic optimal control problem via time domain decomposition
Mohamed Kamel Riahi
In this paper we present a new steepest-descent type algorithm for convex optimization problems. Our algorithm pieces the unknown into sub-blocs of unknowns and considers a partial…
Parareal in time intermediate targets methods for optimal control problem
Yvon Maday, Mohamed-Kamel Riahi, Julien Salomon
In this paper, we present a method that enables solving in parallel the Euler-Lagrange system associated with the optimal control of a parabolic equation. Our approach is based on…