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Efficient computational models for shallow water flows over multilayer erodible beds (2019)
Journal Article
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

Purpose: The purpose of this paper is to present a new numerical model for shallow water flows over heterogeneous sedimentary layers. It is already several years since the single-layered models have been used to model shallow water flows over erodibl... Read More about Efficient computational models for shallow water flows over multilayer erodible beds.

Explicit time integration with lumped mass matrix for enriched finite elements solution of time domain wave problems (2019)
Journal Article
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

We present a partition of unity finite element method for wave propagation problems in the time domain using an explicit time integration scheme. Plane wave enrichment functions are introduced at the finite elements nodes which allows for a coarse me... Read More about Explicit time integration with lumped mass matrix for enriched finite elements solution of time domain wave problems.

Enhanced Conformal Perfectly Matched Layers for Bernstein-Bezier Finite Element Modelling of Short Wave Scattering (2019)
Journal Article
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

The aim of this paper is to accurately solve short wave scattering problems governed by the Helmholtz equation using the Bernstein-Bezier Finite Element method (BBFEM), combined with a conformal perfectly matched layer (PML). Enhanced PMLs, where cur... Read More about Enhanced Conformal Perfectly Matched Layers for Bernstein-Bezier Finite Element Modelling of Short Wave Scattering.

Identifying the wavenumber for the inverse Helmholtz problem using an enriched finite element formulation (2018)
Journal Article
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

We investigate the inverse problem of identifying the wavenumber for the Helmholtz equation. The problem solution is based on measurements taken at few points from inside the computational domain or on its boundary. A novel iterative approach is prop... Read More about Identifying the wavenumber for the inverse Helmholtz problem using an enriched finite element formulation.

Iterative solvers for generalized finite element solution of boundary-value problems (2018)
Journal Article
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

Most of generalized finite element methods use dense direct solvers for the resulting linear systems. This is mainly the case due to the ill‐conditioned linear systems that are associated with these methods. In this study, we investigate the performa... Read More about Iterative solvers for generalized finite element solution of boundary-value problems.

A new numerical treatment of moving wet/dry fronts in dam-break flows (2018)
Journal Article
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

The aim of this paper is to present a new finite volume method for moving wet/dry fronts in shallow water flows. The method consists on reformulating the shallow water equations in a moving wetted domain where the wet/dry interface is located using t... Read More about A new numerical treatment of moving wet/dry fronts in dam-break flows.

Enriched finite elements for initial-value problem of transverse electromagnetic waves in time domain (2017)
Journal Article
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

This paper proposes a partition of unity enrichment scheme for the solution of the electromagnetic wave equation in the time domain. A discretization scheme in time is implemented to render implicit solutions of systems of equations possible. The sch... Read More about Enriched finite elements for initial-value problem of transverse electromagnetic waves in time domain.

A stabilized meshless method for time-dependent convection-dominated flow problems (2016)
Journal Article
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, 159-176. https://doi.org/10.1016/j.matcom.2016.11.003

Meshless methods for convection-dominated flow problems have the potential to reduce the computational effort required for a given order of solution accuracy compared to mesh-based methods. The state of the art in this field is more advanced for elli... Read More about A stabilized meshless method for time-dependent convection-dominated flow problems.