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Iteration Acceleration For Nonlinear Coupled Parabolic-Hyperbolic System
2011
Zenodo
A Picard-Newton iteration method is studied to accelerate the numerical solution procedure of a class of two-dimensional nonlinear coupled parabolic-hyperbolic system. The Picard-Newton iteration is designed by adding higher-order terms of small quantity to an existing Picard iteration. The discrete functional analysis and inductive hypothesis reasoning techniques are used to overcome difficulties coming from nonlinearity and coupling, and theoretical analysis is made for the convergence and
doi:10.5281/zenodo.1078536
fatcat:imbrj6c3vjalvnlvs3w4nfrkpm