By Professor Kassem Ahmad Mustapha

Preprints

Dick J; Gia QTL; Mustapha K, 2025, Bayesian inference calibration of the modulus of elasticity, http://dx.doi.org/10.48550/arxiv.2510.27060

Dick J; Ko S; Gia QTL; Mustapha K; Park S, 2025, A decomposition-based robust training of physics-informed neural networks for nearly incompressible linear elasticity, http://dx.doi.org/10.48550/arxiv.2505.21994

Mustapha K; McLean W; Dick J; Gia QTL, 2025, A simple modification to mitigate locking in conforming FEM for nearly incompressible elasticity, http://dx.doi.org/10.48550/arxiv.2407.06831

Qiu W; Zheng X; Mustapha K, 2025, Numerical approximations for a hyperbolic integrodifferential equation with a non-positive variable-sign kernel and nonlinear-nonlocal damping, http://dx.doi.org/10.48550/arxiv.2412.07394

Clarke M; Dick J; Gia QTL; Mustapha K; Tran T, 2024, Quasi-Monte Carlo sparse grid Galerkin finite element methods for linear elasticity equations with uncertainties, http://dx.doi.org/10.48550/arxiv.2310.06187

Dick J; Gao H; McLean W; Mustapha K, 2024, Time-fractional diffusion equations with randomness, and efficient numerical estimations of expected values, http://dx.doi.org/10.48550/arxiv.2409.00893

Karaa S; Mustapha K; Ahmed N, 2024, A mixed FEM for a time-fractional Fokker-Planck model, http://dx.doi.org/10.48550/arxiv.2310.17350

Mustapha K; McLean W; Dick J, 2024, An $α$-robust and second-order accurate scheme for a subdiffusion equation, http://dx.doi.org/10.48550/arxiv.2401.04946

McLean W; Mustapha K, 2022, Error Profile for Discontinuous Galerkin Time Stepping of Parabolic PDEs, http://dx.doi.org/10.48550/arxiv.2208.03846

Mustapha K; Knio OM; Maître OPL, 2021, A second-order accurate numerical scheme for a time-fractional Fokker-Planck equation, http://dx.doi.org/10.48550/arxiv.2106.14146

McLean W; Mustapha K, 2020, Uniform stability for a spatially-discrete, subdiffusive Fokker-Planck equation, http://dx.doi.org/10.48550/arxiv.2012.13860

Mustapha K, 2020, FEM for time-fractional diffusion equations, novel optimal error analyses, http://dx.doi.org/10.48550/arxiv.1610.05621

Furati KM; Mustapha K; Sarumi IO; Iyiola OS, 2019, Inverse source in two-parameter anomalous diffusion, numerical algorithms and simulations over graded time-meshes, http://dx.doi.org/10.48550/arxiv.1912.06614

Mustapha K, 2019, An L1 approximation for a fractional reaction-diffusion equation, a second-order error analysis over time-graded meshes, http://dx.doi.org/10.48550/arxiv.1909.06739

Le KN; McLean W; Mustapha K, 2019, A semidiscrete finite element approximation of a time-fractional Fokker-Planck equation with nonsmooth initial data, http://dx.doi.org/10.48550/arxiv.1902.03204

McLean W; Mustapha K; Ali R; Knio O, 2019, Well-posedness of time-fractional, advection-diffusion-reaction equations, http://dx.doi.org/10.48550/arxiv.1810.04836

McLean W; Mustapha K; Ali R; Knio OM, 2019, Regularity theory for time-fractional advection-diffusion-reaction equations, http://dx.doi.org/10.48550/arxiv.1902.00850

Karaa S; Mustapha K; Pani AK, 2018, Optimal error analysis of a FEM for fractional diffusion problems by energy arguments, http://dx.doi.org/10.48550/arxiv.1605.09104

Mustapha K; Furati K; Knio OM; Maitre OL, 2018, A finite difference method for space fractional differential equations with variable diffusivity coefficient, http://dx.doi.org/10.48550/arxiv.1706.00971

Allouch S; Lucchesi M; Maître OPL; Mustapha KA; Knio OM, 2017, Particle Simulation of Fractional Diffusion Equations, http://dx.doi.org/10.48550/arxiv.1707.03871

Furati KM; Iyiola OS; Mustapha K, 2016, An inverse source problem for a two-parameter anomalous diffusion with local time datum, http://dx.doi.org/10.48550/arxiv.1604.06886

Mustapha K; Abdallah B; Furati KM; Nour M, 2015, A discontinuous Galerkin method for time fractional diffusion equations with variable coefficients, http://dx.doi.org/10.48550/arxiv.1511.00163

Karaa S; Mustapha K; Pani AK, 2015, Finite volume element method for two-dimensional fractional subdiffusion problems, http://dx.doi.org/10.48550/arxiv.1510.07377

Le KN; McLean W; Mustapha K, 2015, Numerical solution of the time-fractional Fokker-Planck equation with general forcing, http://dx.doi.org/10.48550/arxiv.1507.05706

Mustapha K; Nour M; Cockburn B, 2014, Convergence and superconvergence analyses of HDG methods for time fractional diffusion problems, http://dx.doi.org/10.48550/arxiv.1412.2098

Cockburn B; Mustapha K, 2014, A hybridizable discontinuous Galerkin method for fractional diffusion problems, http://dx.doi.org/10.48550/arxiv.1409.7383

Mustapha K, 2014, Time-stepping discontinuous Galerkin methods for fractional diffusion problems, http://dx.doi.org/10.48550/arxiv.1409.6976

Mustapha K; Abdallah B; Furati K, 2014, A discontinuous Petrov-Galerkin method for time-fractional diffusion equations, http://dx.doi.org/10.48550/arxiv.1409.1935

McLean W; Mustapha K, 2014, Time-stepping error bounds for fractional diffusion problems with non-smooth initial data, http://dx.doi.org/10.48550/arxiv.1405.2140

Mustapha K, 2013, A Superconvergent discontinuous Galerkin method for Volterra integro-differential equations, smooth and non-smooth kernels, http://dx.doi.org/10.48550/arxiv.1301.6778

Mustapha K; McLean W, 2012, Superconvergence of a discontinuous Galerkin method for fractional diffusion and wave equations, http://dx.doi.org/10.48550/arxiv.1206.2686

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