880 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Saudi Center for Theoretical PhysicsSA54 papers
- Chouaib Doukkali UniversityMA33 papers
- King Abdullah University of Science and TechnologySA29 papers
- Massachusetts Institute of TechnologyUS17 papers
- Georgia Institute of TechnologyUS16 papers
- King Faisal UniversitySA12 papers
- Shura CouncilSA11 papers
- National University of SingaporeSG9 papers
- Northeastern UniversityUS9 papers
- Academy of Sciences Republic of UzbekistanUZ7 papers
- National University of Sciences and TechnologyPK7 papers
- Quaid-i-Azam UniversityPK7 papers
19 papers · 1 filter
Algorithmic analysis towards time-domain extended source waveform inversion
Pengliang Yang, Wei Zhou
Full waveform inversion (FWI) updates the subsurface model from an initial model by comparing observed and synthetic seismograms. Due to high nonlinearity, FWI is easy to be trappe…
A Direct Integral Pseudospectral Method for Solving a Class of Infinite-Horizon Optimal Control Problems Using Gegenbauer Polynomials and Certain Parametric Maps
Kareem T. Elgindy, Hareth M. Refat
We present a novel direct integral pseudospectral (PS) method (a direct IPS method) for solving a class of continuous-time infinite-horizon optimal control problems (IHOCs). The me…
Uniform stability for a spatially-discrete, subdiffusive Fokker-Planck equation
William McLean, Kassem Mustapha
We prove stability estimates for the spatially discrete, Galerkin solution of a fractional Fokker-Planck equation, improving on previous results in several respects. Our main goal…
Fast Bayesian experimental design: Laplace-based importance sampling for the expected information gain
Joakim Beck, Ben Mansour Dia, Luis FR Espath +2
In calculating expected information gain in optimal Bayesian experimental design, the computation of the inner loop in the classical double-loop Monte Carlo requires a large number…
Particle Simulation of Fractional Diffusion Equations
S. Allouch, M. Lucchesi, O. P. Le Maître +2
This work explores different particle-based approaches to the simulation of one-dimensional fractional subdiffusion equations in unbounded domains. We rely on smooth particle appro…
A finite difference method for space fractional differential equations with variable diffusivity coefficient
K. Mustapha, K. Furati, O. M. Knio +1
Anomalous diffusion is a phenomenon that cannot be modeled accurately by second-order diffusion equations, but is better described by fractional diffusion models. The nonlocal natu…
High-Order Shifted Gegenbauer Integral Pseudospectral Method for Solving Differential Equations of Lane-Emden Type
Kareem T. Elgindy, Hareth M. Refat
We present a novel, high-order, efficient, and exponentially convergent shifted Gegenbauer integral pseudospectral method (SGIPSM) to solve numerically Lane-Emden equations provide…
FEM for time-fractional diffusion equations, novel optimal error analyses
Kassem Mustapha
A semidiscrete Galerkin finite element method applied to time-fractional diffusion equations with time-space dependent diffusivity on bounded convex spatial domains will be studied…
Optimal error analysis of a FEM for fractional diffusion problems by energy arguments
Samir Karaa, Kassem Mustapha, Amiya K. Pani
In this article, the piecewise-linear finite element method (FEM) is applied to approximate the solution of time-fractional diffusion equations on bounded convex domains. Standard…
A discontinuous Galerkin method for time fractional diffusion equations with variable coefficients
K. Mustapha, B. Abdallah, K. M. Furati +1
We propose a piecewise-linear, time-stepping discontinuous Galerkin method to solve numerically a time fractional diffusion equation involving Caputo derivative of order $μ\in (0,1…
Numerical solution of the time-fractional Fokker-Planck equation with general forcing
Kim Ngan Le, William McLean, Kassem Mustapha
We study two schemes for a time-fractional Fokker-Planck equation with space- and time-dependent forcing in one space dimension. The first scheme is continuous in time and is discr…
Convergence and superconvergence analyses of HDG methods for time fractional diffusion problems
Kassem Mustapha, Maher Nour, Bernardo Cockburn
We study the hybridizable discontinuous Galerkin (HDG) method for the spatial discretization of time fractional diffusion models with Caputo derivative of order . For each t…
A hybridizable discontinuous Galerkin method for fractional diffusion problems
Bernardo Cockburn, Kassem Mustapha
We study the use of the hybridizable discontinuous Galerkin (HDG) method for numerically solving fractional diffusion equations of order with . For exact time-marching…
Time-stepping discontinuous Galerkin methods for fractional diffusion problems
Kassem Mustapha
Time-stepping -versions discontinuous Galerkin (DG) methods for the numerical solution of fractional subdiffusion problems of order with will be proposed and anal…
A discontinuous Petrov-Galerkin method for time-fractional diffusion equations
Kassem Mustapha, Basheer Abdallah, Khaled Furati
We propose and analyze a time-stepping discontinuous Petrov-Galerkin method combined with the continuous conforming finite element method in space for the numerical solution of tim…
Time-stepping error bounds for fractional diffusion problems with non-smooth initial data
William McLean, Kassem Mustapha
We apply the piecewise constant, discontinuous Galerkin method to discretize a fractional diffusion equation with respect to time. Using Laplace transform techniques, we show that…
A Superconvergent discontinuous Galerkin method for Volterra integro-differential equations, smooth and non-smooth kernels
Kassem Mustapha
We study the numerical solution for Volerra integro-differential equations with smooth and non-smooth kernels. We use a -version discontinuous Galerkin (DG) method and derive no…
Gauss-Type Quadrature Rules Based on Identity-Type Functions
M. A. Bokhari, Asghar Qadir
Some Gauss-type quadrature rules over [0, 1], which involve values and/or the derivative of the integrand at 0 and/or 1, are investigated
Numerical Computations of Viscous, Incompressible Flow Problems Using a Two-Level Finite Element Method
Faisal Fairag
We consider two-level finite element discretization methods for the stream function formulation of the Navier-Stokes equations. The two-level method consists of solving a small non…