Combination of multigrid with constraint data for inverse problem of nonlinear diffusion equation
T Liu, D Ouyang, L Guo, R Qiu, Y Qi, W Xie, Q Ma… - Mathematics, 2023 - mdpi.com
This paper delves into a rapid and accurate numerical solution for the inverse problem of the
nonlinear diffusion equation in the context of multiphase porous media flow. For the …
nonlinear diffusion equation in the context of multiphase porous media flow. For the …
Shape and location recovery of laser excitation sources in photoacoustic imaging using topological gradient optimization
M BenSalah - Journal of Computational and Applied Mathematics, 2024 - Elsevier
This study focuses on source term inversion in fractional partial differential equations,
specifically applied to photoacoustic imaging. This work contributes to advancing imaging …
specifically applied to photoacoustic imaging. This work contributes to advancing imaging …
Determination of the flux terms in a time fractional viscoelastic equation
In this paper, we study the flux identification problem for a nonlinear time-fractional
viscoelastic equation with a general source function based on the boundary measurements …
viscoelastic equation with a general source function based on the boundary measurements …
On the topological gradient method for an inverse problem resolution
M Abdelwahed, N Chorfi - Advances in Nonlinear Analysis, 2023 - degruyter.com
In this work, we consider the topological gradient method to deal with an inverse problem
associated with three-dimensional Stokes equations. The problem consists in detecting …
associated with three-dimensional Stokes equations. The problem consists in detecting …
Topological sensitivity analysis for the 3D nonlinear Navier–Stokes equations
M Hassine, M Ouni - Asymptotic Analysis, 2023 - content.iospress.com
This work is devoted to a topological asymptotic expansion for the nonlinear Navier–Stokes
operator. We consider the 3D Navier–Stokes equations as a model problem and we derive a …
operator. We consider the 3D Navier–Stokes equations as a model problem and we derive a …
On the problem of detecting source points acting on a fluid
M Abdelwahed, N Chorfi - Demonstratio Mathematica, 2023 - degruyter.com
The detection problem of a finite number of source points acting on a steady incompressible
fluid flow from overdetermined boundary data was studied. The approach used in this study …
fluid flow from overdetermined boundary data was studied. The approach used in this study …
Landweber Iterative Method for an Inverse Source Problem of Space-Fractional Diffusion Equations
M BenSalah, M Hassine - Spring School on Control & Inverse Problems, 2022 - Springer
In this paper, we consider an inverse problem for a partial differential equation involving the
fractional spectral Laplacian, that is, to identify the source term from a partial internal …
fractional spectral Laplacian, that is, to identify the source term from a partial internal …