Staff profile

Personal webpage

Dr Mohammed Seaid is an Associate Professor in the School of Engineering and Computing Sciences, Durham University. His doctoral research focused on the design and analysis of numerical methods for simulating the radiative heat transfer equations in gas turbine combustion chambers. His post-doctoral research was conducted in the area of numerical modelling of coupled radiation and hydrodynamics using simplified PN approximations, M1 entropy models and nonlinear multilevel methods.

Along with Prof. Axel Klar (in the Fraunhofer Institut Techno- und Wirtschaftsmathematik at Kaiserslautern, Germany), he has been developping efficient models for radiation and conduction in high temperature gas flows. The general research results have wide applicability within engineering. Since 2001, much of his research work has been undertaken within the SFB 568 Research Group, a strongly collaborative group of mechanical engineers and distributed computing researchers at the universities of Darmstadt, Heidelberg, and Kaiserslautern.

At present he teaches L3 Hydraulics, L3 Dynamics, and L4 Hydrology.

Research Interests

• Shallow water flows
• Transport of suspended sediments
• Tidal flows and currents
• Scientific computing
• Computational radiative heat transfer
• Lattice Boltzmann and discrete-velocity methods
• Modified method of characteristics

Authored book

• Relaxation Schemes and Multilevel Algorithms. Shaker Verlag GmbH

Chapter in book

• Rowan, T., & Seaid, M. (2022). Efficient Experimental and Numerical Methods for Solving Vertical Distribution of Sediments in Dam-Break Flows. In Numerical Fluid Dynamics. https://doi.org/10.1007/978-981-16-9665-7_10
• El Moçayd, N., Alghosoun, A., Ouazar, D., & Seaid, M. (2020). Uncertainty Quantification of Bathymetric Effects in a Two-Layer Shallow Water Model: Case of the Gibraltar Strait. In Advances in Hydroinformatics. https://doi.org/10.1007/978-981-15-5436-0_61

Conference Paper

• Banda, M., Seaid, M., & Teleaga, I. (2008). Incompressible Navier-Stokes equation solvers based on lattice Boltzmann relaxation systems. In Special Issue:Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich 2007 (2100001-2100002). https://doi.org/10.1002/pamm.200700010
• Pinnau, R., & Seaid, M. (2008). Simplified PN Models and Natural Convection-Radiation. In L. L. Bonilla, M. Moscoso, G. Platero, & J. M. Vega (Eds.), Progress in Industrial Mathematics at ECMI 2006 (397-401)
• Seaid, M. (2005). A Monte Carlo method for the Broadwell model with relaxation. In GAMM Annual Meeting – Luxembourg 2005 Overview of the Sessions (691-692). https://doi.org/10.1002/pamm.200510321
• González, M., & Seaid, M. (2005). Finite Element Modified Method of Characteristics for Shallow Water Flows: Application to the Strait of Gibraltar. In A. Di Bucchianico, R. M. M. Mattheij, & M. A. Peletier (Eds.), Progress in Industrial Mathematics at ECMI 2004 (283-287). https://doi.org/10.1007/3-540-28073-1_78
• El-Amrani, M., & Seaid, M. (2005). Animating Water Waves Using Semi-Lagrangian Techniques. In A. . D. Bucchianico, R. M. M. Mattheij, & M. A. Peletier (Eds.), Progress in Industrial Mathematics at ECMI 2004 (494-498)
• Seaid, M., & Klar, A. (2005). Multigrid Solution of Three-Dimensional Radiative Heat Transfer in Glass Manufacturing. In A. . D. Bucchianico, R. M. M. Mattheij, & M. A. Peletier (Eds.), Progress in Industrial Mathematics 2004 (283-287). https://doi.org/10.1007/3-540-28073-1_44
• Seaid, M. (2005). Numerical Relaxed Solution of the Dam-Break Flows without Riemann Problem Solvers. In W. Yongqi, & H. Kolumban (Eds.),
• Seaid, M., El-Amrani, M., & Machmoum, A. (2004). Recent Advances in Semi-Lagrangian Modelling of Flow Through the Strait of Gibraltar. In M. Bubak, G. D. van Albada, P. M. A. Sloot, & J. Dongarra (Eds.), International Conference on Computational Science 2004 (89-96). https://doi.org/10.1007/978-3-540-24687-9_12
• Pareschi, L., & Seaid, M. (2004). A New Monte Carlo Approach for Conservation Laws and Relaxation Systems. In M. Bubak, G. D. van Albada, P. M. . A. Sloot, & J. Dongarra (Eds.), Computational Science - ICCS 2004 (276-283). https://doi.org/10.1007/978-3-540-24687-9_35
• Seaid, M. (2004). A multigrid discrete-ordinates solution for isotropic transport equation. In GAMM Annual Meeting – Dresden 2004 (494-495). https://doi.org/10.1002/pamm.200410228
• Klar, A., & Seaid, M. (2003). Efficient Preconditioning of Linear Systems Arising from the Discretization of Radiative Transfer Equation. In E. Bänsch (Ed.), Challenges in Scientific Computing - CISC 2002 (211-236). https://doi.org/10.1007/978-3-642-19014-8_10
• Seaid, M., & Klar, A. (2003). Generalized numerical approximations for the radiative heat transfer problems in two space dimensions.
• Banda, M., & Seaid, M. (2002). A Class of the Relaxation Schemes for Two-Dimensional Euler Systems of Gas Dynamics. In P. M. . A. Sloot, C. J. K. Tan, J. Dongarra, & A. G. Hoekstra (Eds.), Proceedings of the International Conference on Computational Science-Part I (930-939). https://doi.org/10.5555/645457.655162
• Seaid, M., & Klar, A. (2001). High-Order Relaxation Methods for Incompressible Navier-Stokes Equations. In F. Brezzi, A. Buffa, S. Corsaro, & A. Murli (Eds.), Proceedings of ENUMATH 2001 the 4th European Conference on Numerical Mathematics and Advanced Applications Ischia, July 2001 (111-121). https://doi.org/10.1007/978-88-470-2089-4_10

Edited book

• Seaid, M., El-Amrani, M., & Yebari, N. (Eds.). (2008). Proceedings of Hispano-Moroccan Days on Applied Mathematics and Statistics. Universidad Rey Juan Carlos

Journal Article

• Zheng, X., Seaid, M., & Osman, A. S. (2024). A fully coupled dynamic water-mooring line system: Numerical implementation and applications. Ocean Engineering, 294, Article 116792. https://doi.org/10.1016/j.oceaneng.2024.116792
• Belhamadia, Y., & Seaid, M. (2024). A mixed finite element method for nonlinear radiation–conduction equations in optically thick anisotropic media. Mathematics and Computers in Simulation, 216, 15-29. https://doi.org/10.1016/j.matcom.2023.08.031
• El-Amrani, M., Obbadi, A., Seaid, M., & Yakoubi, D. (2024). Error estimates for a viscosity-splitting scheme in time applied to non-Newtonian fluid flows. Computer Methods in Applied Mechanics and Engineering, 419, Article 116639. https://doi.org/10.1016/j.cma.2023.116639
• Salhi, L., Seaid, M., & Yakoubi, D. (2024). Convergence analysis of a class of iterative methods for propagation of reaction fronts in porous media. Computer Methods in Applied Mechanics and Engineering, 418(Part A), Article 116524. https://doi.org/10.1016/j.cma.2023.116524
• Belhamadia, Y., & Seaid, M. (2023). Computing enhancement of the nonlinear SPN approximations of radiative heat transfer in participating material. Journal of Computational and Applied Mathematics, 434, Article 115342. https://doi.org/10.1016/j.cam.2023.115342
• Zheng, X., Seaid, M., Pisanò, F., Hicks, M. A., Vardon, P. J., Huvaj, N., & Osman, A. S. (2023). A material point/finite volume method for coupled shallow water flows and large dynamic deformations in seabeds. Computers and Geotechnics, 162(October), Article 105673. https://doi.org/10.1016/j.compgeo.2023.105673
• Gumus, V., El Moçayd, N., Seker, M., & Seaid, M. (2023). Evaluation of future temperature and precipitation projections in Morocco using the ANN-based multi-model ensemble from CMIP6. Atmospheric Research, 292, Article 106880. https://doi.org/10.1016/j.atmosres.2023.106880
• El-Amrani, M., Salhi, L., & Seaid, M. (2023). A new Runge–Kutta–Chebyshev Galerkin-characteristic finite element method for advection–dispersion problems in anisotropic porous media. Mathematics and Computers in Simulation, 210, https://doi.org/10.1016/j.matcom.2023.01.032
• Salhi, L., El‐Amrani, M., & Seaid, M. (2023). A priori error estimates for a semi‐Lagrangian unified finite element method for coupled Darcy‐transport problems. Numerical Methods for Partial Differential Equations, 39(4), 3441-3472. https://doi.org/10.1002/num.23014
• El-Amrani, M., Salhi, L., Seaid, M., & Yakoubi, D. (2023). An iterative scheme for solving a coupled Darcy–convection–diffusion model. Journal of Mathematical Analysis and Applications, 517(2), Article 126603. https://doi.org/10.1016/j.jmaa.2022.126603
• Ouardghi, A., Seaid, M., El‐Amrani, M., & El Mocayd, N. (2023). A fast and accurate method for transport and dispersion of phosphogypsum in coastal zones: Application to Jorf Lasfar. International Journal for Numerical Methods in Fluids, https://doi.org/10.1002/fld.5248
• Ghoudi, T., Mohamed, M. S., & Seaid, M. (2023). Novel adaptive finite volume method on unstructured meshes for time-domain wave scattering and diffraction. Computers and Mathematics with Applications, 141, https://doi.org/10.1016/j.camwa.2023.03.025
• Albadr, J., El-Amrani, M., & Seaid, M. (2023). Simplified finite element approximations for coupled natural convection and radiation heat transfer. Numerical Heat Transfer, Part A Applications, 83(5), 478-502. https://doi.org/10.1080/10407782.2022.2091897
• El-Amrani, M., Kacimi, A. E., Khouya, B., & Seaid, M. (2023). A Bernstein–Bézier Lagrange–Galerkin method for three-dimensional advection-dominated problems. Computer Methods in Applied Mechanics and Engineering, 403, Article 115758. https://doi.org/10.1016/j.cma.2022.115758
• Gumus, V., Simsek, O., & Seaid, M. (2023). Investigating recent changes in the wind speed trends over Turkey. Acta Geophysica, 71, 1305–1319. https://doi.org/10.1007/s11600-022-01011-2
• El-Amrani, M., El-Kacimi, A., Khouya, B., & Seaid, M. (2022). Bernstein-Bézier Galerkin-Characteristics Finite Element Method for Convection-Diffusion Problems. Journal of Scientific Computing, 92(2), Article 58. https://doi.org/10.1007/s10915-022-01888-7
• Alghosoun, A., Mocayd, N. E., & Seaid, M. (2022). A Nonintrusive Reduced-Order Model for Uncertainty Quantification in Numerical Solution of One-Dimensional Free-Surface Water Flows Over Stochastic Beds. International Journal of Computational Methods, 19(04), https://doi.org/10.1142/s0219876221500730
• Rowan, T., & Seaid, M. (2022). A multilayered shallow water model for sediment transport in flows over heterogeneous erodible beds. European Physical Journal Plus, 137(8), https://doi.org/10.1140/epjp/s13360-022-03202-8
• Salhi, L., Seaid, M., & Yakoubi, D. (2022). Well-posedness and numerical approximation of steady convection-diffusion-reaction problems in porous media. Computers and Mathematics with Applications, 124, https://doi.org/10.1016/j.camwa.2022.08.024
• Bassou Khouya, N., Mofdi El-Amrani, N., & Seaid, M. (2022). A Conservative and Monotone Characteristic Finite Element Solver for Three-Dimensional Transport and Incompressible Navier-Stokes Equations on Unstructured Grids. Communications in computational physics, 31(1), https://doi.org/10.4208/cicp.oa-2020-0229
• Izem, N., & Seaid, M. (2022). A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography. Advances in applied mathematics and mechanics, 14(3), 725-758. https://doi.org/10.4208/aamm.oa-2020-0364
• Asmouh, I., El‐Amrani, M., Seaid, M., & Yebari, N. (2022). High‐order isogeometric modified method of characteristics for two‐dimensional coupled Burgers' equations. International Journal for Numerical Methods in Fluids, 94(6), https://doi.org/10.1002/fld.5068
• Salhi, L., El-Amrani, M., & Seaid, M. (2022). A Galerkin-characteristic unified finite element method for moving thermal fronts in porous media. Journal of Computational and Applied Mathematics, 404, https://doi.org/10.1016/j.cam.2020.113159
• Bouna, R., Izem, N., Seaid, M., & Mohamed, M. S. (2022). High-order methods for thermal behavior of plate structures with internal heat sources. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, https://doi.org/10.1177/09544062221141571
• Asmouh, I., El-Amrani, M., & Seaid, M. (2022). Isogeometric semi-Lagrangian analysis for transport problems. Applied Mathematics Letters, 130, https://doi.org/10.1016/j.aml.2022.107994
• Asmouh, I., El-Amrani, M., Seaid, M., & Yebari, N. (2022). A Cell-Centered Semi-Lagrangian Finite Volume Method for Solving Two-Dimensional Coupled Burgers’ Equations. Computational and mathematical methods, 2022, Article 8192192. https://doi.org/10.1155/2022/8192192
• El-Amrani, M., Khouya, B., & Seaid, M. (2022). A semi-Lagrangian Bernstein–Bézier finite element method for two-dimensional coupled Burgers’ equations at high Reynolds numbers. Mathematics and Computers in Simulation, 199, https://doi.org/10.1016/j.matcom.2022.03.011
• Ouardghi, A., El-Amrani, M., & Seaid, M. (2022). An adaptive enriched semi-Lagrangian finite element method for coupled flow-transport problems. Computers and Fluids, 240, https://doi.org/10.1016/j.compfluid.2022.105474
• El Moçayd, N., & Seaid, M. (2021). Data-driven polynomial chaos expansions for characterization of complex fluid rheology: Case study of phosphate slurry. Reliability Engineering & System Safety, 216, https://doi.org/10.1016/j.ress.2021.107923
• Al-Ghosoun, A., El Moçayd, N., & Seaid, M. (2021). A surrogate model for efficient quantification of uncertainties in multilayer shallow water flows. Environmental Modelling and Software, 144, Article 105176. https://doi.org/10.1016/j.envsoft.2021.105176
• Ouardghi, A., El-Amrani, M., & Seaid, M. (2021). An enriched Galerkin-characteristics finite element method for convection-dominated and transport problems. Applied Numerical Mathematics, 167, 119-142. https://doi.org/10.1016/j.apnum.2021.04.018
• Mocayd, N. E., Mohamed, M. S., & Seaid, M. (2021). Non-intrusive polynomial chaos methods for uncertainty quantification in wave problems at high frequencies. Journal of Computational Science, 53, Article 101344. https://doi.org/10.1016/j.jocs.2021.101344
• Jiang, J., Shadi Mohamed, M., Seaid, M., & Li, H. (2021). Fast inverse solver for identifying the diffusion coefficient in time-dependent problems using noisy data. Archive of Applied Mechanics, 91(4), 1623-1639. https://doi.org/10.1007/s00419-020-01844-7
• Settati, A., Lahrouz, A., Zahri, M., Tridane, A., El Fatini, M., El Mahjour, H., & Seaid, M. (2021). A stochastic threshold to predict extinction and persistence of an epidemic SIRS system with a general incidence rate. Chaos, Solitons and Fractals, 144, Article 110690. https://doi.org/10.1016/j.chaos.2021.110690
• Malek, M., Izem, N., Mohamed, M. S., Seaid, M., & Wakrim, M. (2021). Numerical solution of Rosseland model for transient thermal radiation in non-grey optically thick media using enriched basis functions. Mathematics and Computers in Simulation, 180, 258-275. https://doi.org/10.1016/j.matcom.2020.08.024
• El-Amrani, M., Ouardghi, A., & Seaid, M. (2021). Enriched Galerkin-Characteristics Finite Element Method for Incompressible Navier--Stokes Equations. SIAM Journal on Scientific Computing, 43(2), A1336 - A1361. https://doi.org/10.1137/20m1335923
• Al-Ghosoun, A., Osman, A., & Seaid, M. (2021). A Computational Model for Simulation of Shallow Water Waves by Elastic Deformations in the Topography. Communications in computational physics, https://doi.org/10.4208/cicp.oa-2020-0098
• Al-Ghosoun, A., Osman, A., & Seaid, M. (2021). A hybrid finite volume/finite element method for shallow water waves by static deformation on seabeds. Engineering Computations, 38(5), 2434-2459. https://doi.org/10.1108/ec-05-2020-0275
• Carrer, J., Solheid, B., Trevelyan, J., & Seaid, M. (2021). A boundary element method formulation based on the Caputo derivative for the solution of the diffusion-wave equation. Engineering with Computers, https://doi.org/10.1007/s00366-021-01480-x
• Carrer, J., Solheid, B., Trevelyan, J., & Seaid, M. (2021). A boundary element method formulation based on the Caputo derivative for the solution of the anomalous diffusion problem. Engineering Analysis with Boundary Elements, 122, 132-144. https://doi.org/10.1016/j.enganabound.2020.10.017
• Khouya, B., El-Amrani, M., & Seaid, M. (2020). A Galerkin-Characteristic Finite Element Method for Three-Dimensional Convection-Dominated Problems. Advances in applied mathematics and mechanics, 13(3), 503-526. https://doi.org/10.4208/aamm.oa-2020-0105
• Rowan, T., & Seaid, M. (2020). Two-dimensional numerical modelling of shallow water flows over multilayer movable beds. Applied Mathematical Modelling, 88, Article 474-497. https://doi.org/10.1016/j.apm.2020.06.052
• Carrer, J., Solheid, B., Trevelyan, J., & Seaid, M. (2020). The Boundary Element Method applied to the solution of the Diffusion-Wave problem. Engineering Analysis with Boundary Elements, 117, 13-25. https://doi.org/10.1016/j.enganabound.2020.03.027
• Malek, M., Izem, N., Mohamed M, S., & Seaid, M. (2020). A three-dimensional enriched finite element method for nonlinear transient heat transfer in functionally graded materials. International Journal of Heat and Mass Transfer, 155, Article 119804. https://doi.org/10.1016/j.ijheatmasstransfer.2020.119804
• El Kahoui, A., Malek, M., Izem, N., Shadi Mohamed, M., & Seaid, M. (2020). Partition of Unity Finite Element Analysis of Nonlinear Transient Diffusion Problems Using p-Version Refinement. Computer Modeling in Engineering & Sciences, 124(1), 61-78. https://doi.org/10.32604/cmes.2020.010874
• Giani, S., & Seaid, M. (2020). Multi-hp adaptive discontinuous Galerkin methods for simplified PN approximations of 3D radiative transfer in non-gray media. Applied Numerical Mathematics, 150, 252-273. https://doi.org/10.1016/j.apnum.2019.09.018
• El Moçayd, N., Shadi Mohamed, M., Ouazar, D., & Seaid, M. (2020). Stochastic model reduction for polynomial chaos expansion of acoustic waves using proper orthogonal decomposition. Reliability Engineering & System Safety, 195, https://doi.org/10.1016/j.ress.2019.106733
• Jiang, J., Seaid, M., Mohamed, M. S., & Li, H. (2020). Inverse algorithm for real-time road roughness estimation for autonomous vehicles. Archive of Applied Mechanics, 90(6), https://doi.org/10.1007/s00419-020-01670-x
• Khouya, B., El-Amrani, M., & Seaid, M. (2020). A Three-Dimensional Monotonicity-Preserving Modified Method of Characteristics on Unstructured Tetrahedral Meshes. International Journal of Computational Methods, 18(01), https://doi.org/10.1142/s0219876220500279
• Sari, S., Rowan, T., Seaid, M., & Benkhaldoun, F. (2020). Simulation of Three-Dimensional Free-SurfaceFlows Using Two-Dimensional Multilayer Shallow Water Equations. Communications in computational physics, 27(5), https://doi.org/10.4208/cicp.oa-2019-0036
• Drolia, M., Mohamed, M., Laghrouche, O., Seaid, M., & El Kacimi, A. (2020). Explicit time integration with lumped mass matrix for enriched finite elements solution of time domain wave problems. Applied Mathematical Modelling, 77(2), 1273-1293. https://doi.org/10.1016/j.apm.2019.07.054
• Asmouh, I., El-Amrani, M., Seaid, M., & Yebari, N. (2020). A Conservative Semi-Lagrangian Finite Volume Method for Convection–Diffusion Problems on Unstructured Grids. Journal of Scientific Computing, 85(1), Article 11. https://doi.org/10.1007/s10915-020-01316-8
• Carrer, J., Seaid, M., Trevelyan, J., & Solheid, B. (2019). The Boundary Element Method Applied to the Solution of the Anomalous Diffusion Problem. Engineering Analysis with Boundary Elements, 109, 129-142. https://doi.org/10.1016/j.enganabound.2019.09.016
• El-Kacimi, A., Laghrouche, O., Ouazar, D., Mohamed, M., Seaid, M., & Trevelyan, J. (2019). Enhanced Conformal Perfectly Matched Layers for Bernstein-Bezier Finite Element Modelling of Short Wave Scattering. Computer Methods in Applied Mechanics and Engineering, 355, 614-638. https://doi.org/10.1016/j.cma.2019.06.032
• Rowan, T., & Seaid, M. (2019). Efficient computational models for shallow water flows over multilayer erodible beds. Engineering Computations, 37(2), 401-429. https://doi.org/10.1108/ec-10-2018-0470
• Mohamed, M. S., Seaid, M., & Bouhamidi, A. (2018). Iterative solvers for generalized finite element solution of boundary-value problems. Numerical Linear Algebra with Applications, 25(6), https://doi.org/10.1002/nla.2205
• Jiang, J., Mohamed, M. S., Seaid, M., & Li, H. (2018). Identifying the wavenumber for the inverse Helmholtz problem using an enriched finite element formulation. Computer Methods in Applied Mechanics and Engineering, 340, 615-629. https://doi.org/10.1016/j.cma.2018.06.014
• Al-Ghosoun, A., Herty, M., & Seaid, M. (2018). A new numerical treatment of moving wet/dry fronts in dam-break flows. Journal of Applied Mathematics and Computing, 59(1-2), 489-516. https://doi.org/10.1007/s12190-018-1189-5
• Drolia, M., Mohamed, M., Laghrouche, O., Seaid, M., & Trevelyan, J. (2017). Enriched finite elements for initial-value problem of transverse electromagnetic waves in time domain. Computers and Structures, 182, 354-367. https://doi.org/10.1016/j.compstruc.2016.11.011
• Benkhaldoun, F., Halassi, A., Ouazar, D., Seaid, M., & Taik, A. (2017). A stabilized meshless method for time-dependent convection-dominated flow problems. Mathematics and Computers in Simulation, 137, https://doi.org/10.1016/j.matcom.2016.11.003
• Benkhaldoun, F., Elmahi, I., Moumna, A., & Seaid, M. (2016). A non-homogeneous Riemann solver for shallow water equations in porous media. Applicable Analysis, 95(10), 2181-2202. https://doi.org/10.1080/00036811.2015.1067304
• Giani, S., & Seaid, M. (2016). hp-adaptive discontinuous Galerkin methods for simplified PN approximations of frequency-dependent radiative transfer. Computer Methods in Applied Mechanics and Engineering, 301, 52-79. https://doi.org/10.1016/j.cma.2015.12.013
• He, L., & Seaid, M. (2016). A Runge–Kutta–Chebyshev SPH algorithm for elastodynamics. Acta Mechanica, 227(7), https://doi.org/10.1007/s00707-016-1603-8
• Izem, N., Seaid, M., & Wakrim, M. (2016). A discontinuous Galerkin method for two-layer shallow water equations. Mathematics and Computers in Simulation, 120, https://doi.org/10.1016/j.matcom.2015.04.009
• Benkhaldoun, F., Halassi, A., Ouazar, D., Seaid, M., & Taik, A. (2016). Slope limiters for radial basis functions applied to conservation laws with discontinuous flux function. Engineering Analysis with Boundary Elements, 66, https://doi.org/10.1016/j.enganabound.2016.02.003
• Benkhaldoun, F., Sari, S., & Seaid, M. (2015). Projection finite volume method for shallow water flows. Mathematics and Computers in Simulation, 118, 87-101. https://doi.org/10.1016/j.matcom.2014.11.027
• Benkhaldoun, F., Sari, S., & Seaid, M. (2015). A family of finite volume Eulerian–Lagrangian methods for two-dimensional conservation laws. Journal of Computational and Applied Mathematics, 285, 181-202. https://doi.org/10.1016/j.cam.2015.02.014
• Addam, M., Bouhamidi, A., & Seaid, M. (2015). A Frequency-domain Approach for the P1 Approximation of Time-dependent Radiative Transfer. Journal of Scientific Computing, 62(3), 623-651. https://doi.org/10.1007/s10915-014-9870-9
• Diwan, G., Mohamed, M., Seaid, M., Trevelyan, J., & Laghrouche, O. (2015). Mixed enrichment for the finite element method in heterogeneous media. International Journal for Numerical Methods in Engineering, 101(1), 54-78. https://doi.org/10.1002/nme.4795
• Alhuri, Y., Benkhaldoun, F., Ouazar, D., Seaid, M., & Taik, A. (2015). A meshless method for numerical simulation of depth-averaged turbulence flows using ak-ϵmodel. International Journal for Numerical Methods in Fluids, 80(1), https://doi.org/10.1002/fld.4067
• Izem, N., Seaid, M., Elmahi, I., & Wakrim, M. (2015). Discontinuous Galerkin method for two-dimensional bilayer shallow water equations. Journal of Engineering Mathematics, 96(1), 1-21. https://doi.org/10.1007/s10665-014-9764-8
• Audusse, E., Benkhaldoun, B., Sari, S., Seaid, M., & Tassi, P. (2014). A fast finite volume solver for multi-layered shallow water flows with mass exchange. Journal of Computational Physics, 272, 23-45. https://doi.org/10.1016/j.jcp.2014.04.026
• Benkhaldoun, F., Sari, S., & Seaid, M. (2014). A simple multi-layer finite volume solver for density-driven shallow water flows. Mathematics and Computers in Simulation, 99, 170-189. https://doi.org/10.1016/j.matcom.2013.04.016
• Mohamed, M., Seaid, M., Trevelyan, J., & Laghrouche, O. (2014). An enriched finite element model with q-refinement for radiative boundary layers in glass cooling. Journal of Computational Physics, 258, 718-737. https://doi.org/10.1016/j.jcp.2013.11.005
• Benkhaldoun, F., Izem, N., Sahmim, S., Seaid, M., & Wakrim, M. (2014). A new composite scheme for two-layer shallow water flows with shocks. Journal of Applied Mathematics and Computing, 44(1-2), 467-489. https://doi.org/10.1007/s12190-013-0703-z
• Mohamed, M., Seaid, M., Trevelyan, J., & Laghrouche, O. (2013). Time-independent hybrid enrichment for finite element solution of transient conduction–radiation in diffusive grey media. Journal of Computational Physics, 251, 81-101. https://doi.org/10.1016/j.jcp.2013.05.030
• Benkhaldoun, F., Elmahi, I., Sari, S., & Seaid, M. (2013). An unstructured finite-volume method for coupled models of suspended sediment and bed load transport in shallow-water flows. International Journal for Numerical Methods in Fluids, 72(9), 967-993. https://doi.org/10.1002/fld.3771
• Herty, M., & Seaid, M. (2013). Assessment of coupling conditions in water way intersections. International Journal for Numerical Methods in Fluids, 71(11), 1438-1460. https://doi.org/10.1002/fld.3719
• Mohamed, M., Seaid, M., Trevelyan, J., & Laghrouche, O. (2013). A partition of unity FEM for time-dependent diffusion problems using multiple enrichment functions. International Journal for Numerical Methods in Engineering, 93(3), 245-265. https://doi.org/10.1002/nme.4383
• Mohamed, K., Seaid, M., & Zahri, M. (2013). A finite volume method for scalar conservation laws with stochastic time-space dependent flux function. Journal of Computational and Applied Mathematics, 237(1), 614-632. https://doi.org/10.1016/j.cam.2012.07.014
• Benkhaldoun, F., Daoudi, S., Elmahi, I., & Seaid, M. (2012). Numerical modelling of sediment transport in the Nador lagoon (Morocco). Applied Numerical Mathematics, 62(12), 1749-1766. https://doi.org/10.1016/j.apnum.2012.05.010
• El-Amrani, M., & Seaid, M. (2012). A finite element semi-Lagrangian method with L² interpolation. International Journal for Numerical Methods in Engineering, 90(12), 1485-1507. https://doi.org/10.1002/nme.3372
• El-Amrani, M., & Seaid, M. (2012). A conjugate gradient algorithm for solving the Galerkin-characteristic approximation of interfacial flows. Applied Numerical Mathematics, 62(9), 1197-1214. https://doi.org/10.1016/j.apnum.2010.10.007
• El-Amrani, M., Seaid, M., & Zahri, M. (2012). A stabilized finite element method for stochastic incompressible Navier-Stokes equations. International Journal of Computer Mathematics, 89(18), 2576-2602. https://doi.org/10.1080/00207160.2012.696620
• Izem, N., Seaid, M., & Wakrim, M. (2012). Simulation of the Lock-Exchange Hydraulics using the Discontinuous Galerkin Method. International Journal of Computer Applications, 43(6), https://doi.org/10.5120/6108-8325
• Benkhaldoun, B., Sari, S., & Seaid, M. (2012). A flux-limiter method for dam-break flows over erodible sediment beds. Applied Mathematical Modelling, 36(10), 4847-4861. https://doi.org/10.1016/j.apm.2011.11.088
• Audusse, E., Benkhaldoun, F., Sainte-Marie, J., & Seaid, M. (2011). Multilayer Saint-Venant equations over movable beds. Discrete and Continuous Dynamical Systems - Series B, 15(4), 917 - 934. https://doi.org/10.3934/dcdsb.2011.15.917
• Benkhaldoun, F., & Seaid, M. (2011). Combined Characteristics and Finite Volume Methods for Sediment Transport and Bed Morphology in Surface Water Flows. Mathematics and Computers in Simulation, 81(10), 2073-2086. https://doi.org/10.1016/j.matcom.2010.12.025
• Benkhaldoun, F., Daoudi, S., Elmahi, I., & Seaid, M. (2011). Comparison of unstructured finite-volume morphodynamic models in contracting channel flows. Mathematics and Computers in Simulation, 81(10), 2087-2097. https://doi.org/10.1016/j.matcom.2010.12.031
• El-Amrani, M., & Seaid, M. (2011). An L²-projection for the Galerkin-characteristic Solution of Incompressible Flows. SIAM Journal on Scientific Computing, 33(6), 3110-3131. https://doi.org/10.1137/100805790
• Benkhaldoun, F., Seaid, M., & Sahmim, S. (2011). Mathematical development and verification of a finite volume model for morphodynamic flow applications. Advances in applied mathematics and mechanics, 3, 470-492. https://doi.org/10.4208/aamm.10-m1056
• Benkhaldoun, F., Elmahi, I., & Seaid, M. (2010). A new finite volume method for flux-gradient and source-term balancing in shallow water equations. Computer Methods in Applied Mechanics and Engineering, 199(49-52), https://doi.org/10.1016/j.cma.2010.07.003
• Benkhaldoun, F., Sahmim, S., & Seaid, M. (2010). A two-dimensional finite volume morphodynamic model on unstructured triangular grids. International Journal for Numerical Methods in Fluids, 63(11), 1296-1327. https://doi.org/10.1002/fld.2129
• Benkhaldoun, F., & Seaid, M. (2010). A simple finite volume method for the shallow water equations. Journal of Computational and Applied Mathematics, 234(1), 58-72. https://doi.org/10.1016/j.cam.2009.12.005
• El-Amrani, M., & Seaid, M. (2010). An Essentially Non-Oscillatory Semi-Lagrangian Method for Tidal Flow Simulations. International Journal for Numerical Methods in Engineering, 81(7), 805-834. https://doi.org/10.1002/nme.2708
• El-Amrani, M., & Seaid, M. (2009). Large Eddy Simulation of Turbulent Heat Transport in the Strait of Gibraltar. Mathematics and Computers in Simulation, 79(12), 3444-3454. https://doi.org/10.1016/j.matcom.2009.04.013
• Manouzi, H., & Seaid, M. (2009). Solving Wick-Stochastic Water Waves using a Galerkin Finite Element Method. Mathematics and Computers in Simulation, 79(12), 3523-3533. https://doi.org/10.1016/j.matcom.2009.04.008
• Benkhaldoun, F., Elmahi, I., & Seaid, M. (2009). Application of Mesh-Adaptation for Pollutant Transport by Water Flow. Mathematics and Computers in Simulation, 79(12), 3415-3423. https://doi.org/10.1016/j.matcom.2009.04.007
• Rößler, A., Seaid, M., & Zahri, M. (2009). Numerical Simulation of Stochastic Replicator Models in Catalyzed RNA-like Polymers. Mathematics and Computers in Simulation, 79(12), 3577-3586. https://doi.org/10.1016/j.matcom.2009.04.018
• Klar, A., Reuterswärd, P., & Seaid, M. (2009). A semi-Lagrangian method for a Fokker-Planck equation describing fiber dynamics. Journal of Scientific Computing, 38(3), 349-367. https://doi.org/10.1007/s10915-008-9244-2
• Seaid, M. (2009). An Eulerian-Lagrangian Method for Coupled Parabolic-Hyperbolic Equations. Applied Numerical Mathematics, 59(3-4), 754-768. https://doi.org/10.1016/j.apnum.2008.03.032
• El-Amrani, M., & Seaid, M. (2009). A Spectral Stochastic Semi-Lagrangian Method for Convection-Diffusion Equations with Uncertainty. Journal of Scientific Computing, 39(3), 371-393. https://doi.org/10.1007/s10915-009-9273-5
• Banda, M., Seaid, M., & Thömmes, G. (2009). Lattice Boltzmann Simulation of Dispersion in Two-Dimensional Tidal Flows. International Journal for Numerical Methods in Engineering, 77(6), 878-900. https://doi.org/10.1002/nme.2435
• Seaid, M., & Thömmes, G. (2009). Lattice Boltzmann simulation of free-surface temperature dispersion in shallow water flows. Advances in applied mathematics and mechanics, 1(3), 415-437
• Benkhaldoun, F., Sahmim, S., & Seaid, M. (2009). Solution of the Sediment Transport Equations using a Finite Volume Method based on Sign Matrix. SIAM Journal on Scientific Computing, 31, 2866-2889. https://doi.org/10.1137/080727634
• Haslam, I., Crouch, R., & Seaïd, M. (2008). Coupled finite element–lattice Boltzmann analysis. Computer Methods in Applied Mechanics and Engineering, 197(51-52), 4505-4511. https://doi.org/10.1016/j.cma.2008.04.002
• El-Amrani, M., & Seaid, M. (2008). A Galerkin-Characteristic Method for Large-Eddy Simulation of Turbulent Flow and Heat Transfer. SIAM Journal on Scientific Computing, 30(6), 2734-2754. https://doi.org/10.1137/080720711
• Teleaga, I., & Seaid, M. (2008). Simplified radiative models for low-Mach number reactive flows. Applied Mathematical Modelling, 32(6), 971-991. https://doi.org/10.1016/j.apm.2007.02.021
• Herty, M., & Seaid, M. (2008). Simulation of transient gas flow at pipe-to-pipe intersections. International Journal for Numerical Methods in Fluids, 56(5), 485 - 506. https://doi.org/10.1002/fld.1531
• Seaid, M., & El-Amrani, M. (2008). Finite Element P1 Solution of Thermal Flow past a Circular Cylinder with Radiation. International Journal of Computer Mathematics, 85(3-4), 641-656. https://doi.org/10.1080/00207160601167060
• Banda, M., Seaid, M., & Teleaga, I. (2008). Large-Eddy Simulation of Thermal Flows based on Discrete-Velocity Models. SIAM Journal on Scientific Computing, 30(4), 1756-1777. https://doi.org/10.1137/070682174
• Klar, A. S., & M. Thoemmes, G. (2008). Lattice Boltzmann Simulation of Depth-Averaged Models in Flow Hydraulics. International Journal of Computational Fluid Dynamics, 22(7), 507 - 522. https://doi.org/10.1080/10618560802243838
• El-Amrani, M., & Seaid, M. (2008). Extension of weakly compressible approximations to incompressible thermal flows. Communications in numerical methods in engineering, 24(1), 33 - 48. https://doi.org/10.1002/cnm.954
• Schneider, E., Seaid, M., Janicka, J., & Klar, A. (2008). Validation of simplified PN models for radiative transfer in combustion. Communications in numerical methods in engineering, 24(2), 85-96. https://doi.org/10.1002/cnm.941
• El-Amrani, M., & Seaid, M. (2008). A finite element modified method of characteristics for convective heat transport. Numerical Methods for Partial Differential Equations, 24(3), 776 - 798. https://doi.org/10.1002/num.20288
• Thömmes, G., Seaid, M., & Banda, M. (2007). Lattice Boltzmann Methods for Shallow Water Flow Applications. International Journal for Numerical Methods in Fluids, 55(7), 673-692. https://doi.org/10.1002/fld.1489
• Benkhaldoun, F., Elmahi, I., & Seaid, M. (2007). Well-Balanced Finite Volume Schemes for Pollutant Transport by Shallow Water Equations on Unstructured Meshes. Journal of Computational Physics, 226(1), 180-203. https://doi.org/10.1016/j.jcp.2007.04.005
• Dubroca, B., Seaid, M., & Teleaga, I. (2007). A Consistent Approach for the Coupling of Radiation and Hydrodynamics at Low Mach Number. Journal of Computational Physics, 225(1), 1039-1065. https://doi.org/10.1016/j.jcp.2007.01.011
• El-Amrani, M., & Seaid, M. (2007). Numerical Simulation of Natural and Mixed Convection Flows by Galerkin-Characteristic Method. International Journal for Numerical Methods in Fluids, 53(12), 1819-1845. https://doi.org/10.1002/fld.1384