(Nazarbayev University School of Science and Technology, 2019-04-19) Tabarek, Rysbergen; Erlangga, Yogi; Tourassis, Vassilios D.
In this thesis we propose and study an efficient iterative multigrid method for the time independent modified mild slope equation with and without energy dissipation term.
The algorithm relies on a multigrid method preconditioned with shifted-Laplacian
preconditioner and solved by Bi-CGSTAB algorithm. Multigrid analysis results are
shown by numerical experiments. Numerical experiments are conducted in depth
sloped elliptic shoal introduced by Berkhoff et. al