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ORCIDKassem Mustapha 0001
Person information
- affiliation: King Fahd University of Petroleum and Minerals, Department of Mathematics and Statistics, Dhahran, Saudi Arabia
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2020 – today
- 2024
[j40]Samir Karaa, Kassem Mustapha
, Naveed Ahmed:
A Mixed FEM for a Time-Fractional Fokker-Planck Model. J. Sci. Comput. 99(3): 59 (2024)- [j39]Kassem Mustapha, William McLean, Josef Dick:
An α-Robust and Second-Order Accurate Scheme for a Subdiffusion Equation. J. Sci. Comput. 99(3): 87 (2024) - [i12]Kassem Mustapha, William McLean, Josef Dick:
An α-robust second-order accurate scheme for a subdiffusion equation. CoRR abs/2401.04946 (2024) - [i11]Josef Dick, Quoc Thong Le Gia, William McLean, Kassem Mustapha, T. Tran:
High-order QMC nonconforming FEMs for nearly incompressible planar stochastic elasticity equations. CoRR abs/2402.11545 (2024) - [i10]K. A. Mustapha, William McLean, Josef Dick, Quoc Thong Le Gia:
A Locking-free modified conforming FEM for planar elasticity. CoRR abs/2407.06831 (2024) - [i9]Josef Dick, Hecong Gao, William McLean, Kassem Mustapha:
Time-fractional diffusion equations with randomness, and efficient numerical estimations of expected values. CoRR abs/2409.00893 (2024) - 2023
- [j38]Ibrahim O. Sarumi, Khaled M. Furati, Kassem Mustapha, Abdul Q. M. Khaliq:
Efficient high-order exponential time differencing methods for nonlinear fractional differential models. Numer. Algorithms 92(2): 1261-1288 (2023) - [j37]William McLean, Kassem Mustapha:
Error profile for discontinuous Galerkin time stepping of parabolic PDEs. Numer. Algorithms 93(1): 157-177 (2023) - [i8]Josef Dick, Quoc Thong Le Gia, Kassem Mustapha, Thanh Tran:
Quasi-Monte Carlo sparse grid Galerkin finite element methods for linear elasticity equations with uncertainties. CoRR abs/2310.06187 (2023) - [i7]Samir Karaa, Kassem Mustapha, Naveed Ahmed:
A mixed FEM for a time-fractional Fokker-Planck model. CoRR abs/2310.17350 (2023) - 2022
- [j36]William McLean, Kassem Mustapha:
Uniform stability for a spatially discrete, subdiffusive Fokker-Planck equation. Numer. Algorithms 89(4): 1441-1463 (2022) - [i6]William McLean, Kassem Mustapha:
Error Profile for Discontinuous Galerkin Time Stepping of Parabolic PDEs. CoRR abs/2208.03846 (2022) - 2021
- [j35]Khaled M. Furati, Kassem Mustapha, Ibrahim O. Sarumi, Olaniyi Samuel Iyiola:
Inverse source in two-parameter anomalous diffusion, numerical algorithms, and simulations over graded time meshes. Comput. Appl. Math. 40(1) (2021) - [j34]William McLean, Kassem Mustapha, Raed Ali, Omar M. Knio:
Erratum to "Regularity theory for time-fractional advection-diffusion-reaction equations" [Comput. Math. Appl. 79 (2020) 947-961]. Comput. Math. Appl. 85: 82-83 (2021) - [j33]Ibrahim O. Sarumi, Khaled M. Furati, Abdul Q. M. Khaliq, Kassem Mustapha:
Generalized Exponential Time Differencing Schemes for Stiff Fractional Systems with Nonsmooth Source Term. J. Sci. Comput. 86(2): 23 (2021) - [i5]Kassem Mustapha, Omar M. Knio, Olivier P. Le Maître:
A second-order accurate numerical scheme for a time-fractional Fokker-Planck equation. CoRR abs/2106.14146 (2021) - 2020
- [j32]William McLean, Kassem Mustapha, Raed Ali, Omar M. Knio:
Regularity theory for time-fractional advection-diffusion-reaction equations. Comput. Math. Appl. 79(4): 947-961 (2020) - [j31]Kassem Mustapha:
An L1 Approximation for a Fractional Reaction-Diffusion Equation, a Second-Order Error Analysis over Time-Graded Meshes. SIAM J. Numer. Anal. 58(2): 1319-1338 (2020) - [i4]William McLean, Kassem Mustapha:
Uniform stability for a spatially-discrete, subdiffusive Fokker-Planck equation. CoRR abs/2012.13860 (2020)
2010 – 2019
- 2019
- [j30]Johnson D. Audu, Faisal A. Fairag, Kassem Mustapha:
Mixed finite element analysis for generalized Darcy-Forchheimer model in porous media. J. Comput. Appl. Math. 353: 191-203 (2019) - [i3]Kassem Mustapha:
An L1 approximation for a fractional reaction-diffusion equation, a second-order error analysis over time-graded meshes. CoRR abs/1909.06739 (2019) - [i2]Khaled M. Furati, Kassem Mustapha, Ibrahim O. Sarumi, Olaniyi Samuel Iyiola:
Inverse source in two-parameter anomalous diffusion, numerical algorithms and simulations over graded time-meshes. CoRR abs/1912.06614 (2019) - 2018
- [j29]Samir Karaa, Kassem Mustapha, Amiya Kumar Pani:
Optimal Error Analysis of a FEM for Fractional Diffusion Problems by Energy Arguments. J. Sci. Comput. 74(1): 519-535 (2018) - [j28]Kassem Mustapha:
FEM for time-fractional diffusion equations, novel optimal error analyses. Math. Comput. 87(313): 2259-2272 (2018) - [j27]Kim Ngan Le, William McLean, Kassem Mustapha:
A Semidiscrete Finite Element Approximation of a Time-Fractional Fokker-Planck Equation with NonSmooth Initial Data. SIAM J. Sci. Comput. 40(6): A3831-A3852 (2018) - 2017
- [j26]Khaled M. Furati, Olaniyi Samuel Iyiola, Kassem Mustapha:
An inverse source problem for a two-parameter anomalous diffusion with local time datum. Comput. Math. Appl. 73(6): 1008-1015 (2017) - [j25]Abiola D. Obembe, M. Enamul Hossain, Kassem Mustapha, Sidqi A. Abu-Khamsin:
A modified memory-based mathematical model describing fluid flow in porous media. Comput. Math. Appl. 73(6): 1385-1402 (2017) - [i1]S. Allouch, M. Lucchesi, Olivier P. Le Maître, K. A. Mustapha, Omar M. Knio:
Particle Simulation of Fractional Diffusion Equations. CoRR abs/1707.03871 (2017) - 2016
- [j24]Kassem Mustapha, Maher Nour, Bernardo Cockburn:
Convergence and superconvergence analyses of HDG methods for time fractional diffusion problems. Adv. Comput. Math. 42(2): 377-393 (2016) - [j23]Kassem Mustapha, B. Abdallah, Khaled M. Furati, Maher Nour:
A discontinuous Galerkin method for time fractional diffusion equations with variable coefficients. Numer. Algorithms 73(2): 517-534 (2016) - [j22]Kim Ngan Le, William McLean, Kassem Mustapha:
Numerical Solution of the Time-Fractional Fokker-Planck Equation with General Forcing. SIAM J. Numer. Anal. 54(3): 1763-1784 (2016) - 2015
- [j21]William McLean, Kassem Mustapha:
Time-stepping error bounds for fractional diffusion problems with non-smooth initial data. J. Comput. Phys. 293: 201-217 (2015) - [j20]Bernardo Cockburn, Kassem Mustapha:
A hybridizable discontinuous Galerkin method for fractional diffusion problems. Numerische Mathematik 130(2): 293-314 (2015) - [j19]Kassem Mustapha:
Time-stepping discontinuous Galerkin methods for fractional diffusion problems. Numerische Mathematik 130(3): 497-516 (2015) - 2014
- [j18]Kassem Mustapha, B. Abdallah, Khaled M. Furati:
A Discontinuous Petrov-Galerkin Method for Time-Fractional Diffusion Equations. SIAM J. Numer. Anal. 52(5): 2512-2529 (2014) - 2013
- [j17]Hussein Mustapha, Abir Ghorayeb, K. A. Mustapha:
Corrigendum to "Complex flow simulation in natural aquifer" [Adv. Eng. Inform. 23 (2009) 288-293]: An algorithm for parallel flow simulations in the finite element framework. Adv. Eng. Informatics 27(1): 149-156 (2013) - [j16]Kassem Mustapha, Jennifer K. Ryan:
Post-processing discontinuous Galerkin solutions to Volterra integro-differential equations: Analysis and simulations. J. Comput. Appl. Math. 253: 89-103 (2013) - [j15]Kassem Mustapha:
A Superconvergent discontinuous Galerkin method for Volterra integro-differential equations, smooth and non-smooth kernels. Math. Comput. 82(284): 1987-2005 (2013) - [j14]Kassem Mustapha, William McLean:
Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations. SIAM J. Numer. Anal. 51(1): 491-515 (2013) - 2012
- [j13]Hussein Mustapha, Abir Ghorayeb, K. A. Mustapha:
Corrigendum to "Underground flow simulations using parallel finite element method" [Computers & Geosciences 36 (2010) 161-166]. Comput. Geosci. 49: 267-269 (2012) - [j12]Kassem Mustapha, Jaafar AlMutawa:
A finite difference method for an anomalous sub-diffusion equation, theory and applications. Numer. Algorithms 61(4): 525-543 (2012) - 2011
- [j11]Kassem Mustapha, William McLean:
Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation. Numer. Algorithms 56(2): 159-184 (2011) - [j10]Kassem Mustapha, Hermann Brunner, Hussein Mustapha, Dominik Schötzau:
An hp-Version Discontinuous Galerkin Method for Integro-Differential Equations of Parabolic Type. SIAM J. Numer. Anal. 49(4): 1369-1396 (2011) - 2010
- [j9]Hussein Mustapha, Abir Ghorayeb, K. A. Mustapha:
Underground flow simulations using parallel finite element method. Comput. Geosci. 36(2): 161-166 (2010) - [j8]Hussein Mustapha, Abir Ghorayeb, Kassem Mustapha, Pierre Saramito:
An efficient parallel mixed method for flow simulations in heterogeneous geological media. Int. J. Comput. Math. 87(3): 607-618 (2010)
2000 – 2009
- 2009
- [j7]Kassem Mustapha:
Numerical solution for a sub-diffusion equation with a smooth kernel. J. Comput. Appl. Math. 231(2): 735-744 (2009) - [j6]Kassem Mustapha, William McLean:
Discontinuous Galerkin method for an evolution equation with a memory term of positive type. Math. Comput. 78(268): 1975-1995 (2009) - [j5]William McLean, Kassem Mustapha:
Convergence analysis of a discontinuous Galerkin method for a sub-diffusion equation. Numer. Algorithms 52(1): 69-88 (2009) - 2007
- [j4]William McLean, Kassem Mustapha:
A second-order accurate numerical method for a fractional wave equation. Numerische Mathematik 105(3): 481-510 (2007) - [j3]Hussein Mustapha, Kassem Mustapha:
A New Approach to Simulating Flow in Discrete Fracture Networks with an Optimized Mesh. SIAM J. Sci. Comput. 29(4): 1439-1459 (2007) - 2006
- [j2]Mahadevan Ganesh, Kassem Mustapha:
A fully discrete H 1-Galerkin method with quadrature for nonlinear advection-diffusion-reaction equations. Numer. Algorithms 43(4): 355-383 (2006) - 2004
- [j1]Mahadevan Ganesh, Rolf Dieter Grigorieff, Kassem Mustapha:
Discrete petrov-galerkin scheme for boundary value differential and integral problems: Theory and applications. Math. Comput. Model. 40(11-12): 1323-1334 (2004)
Coauthor Index
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