A. C. Alvarez
(Habana, Cuba)

Solving Mild Slope equation in Matlab with Domain decomposition method
(joint with M. Sarkis and D. Marchesin)

In this paper the mild slope equation is solved on Matlab environmental. The method take into account physical processes waves as diffraction, refraction reflection, shoaling, port resonance and breaking. Further the effects of wave dissipation by friction, nonlinear amplitude dispersion are include. The algorithm is based on minimization of nonlinear functional using damped Newton iteration with Armijo-Goldstein line search strategy. Each linear problem is solved with Finite Element Method. Domain decomposition method with Schur complement is used in the linear case.