Multigrid method for Mild-Slope equation in Coastal Wave Modelling
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Nazarbayev University School of Science and Technology
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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
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Submitted to the Department of Mathematics on Apr 19, 2019, in partial fulfillment of the
requirements for the degree of Master of Applied Mathematics
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