Outputs (3)

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.