By Timmermann G.
We recommend a cascadic multigrid set of rules for a semilinear elliptic challenge. The nonlinear equations bobbing up from linear finite point discretizations are solved by means of Newton's strategy. Given an approximate resolution at the coarsest grid on each one finer grid we practice precisely one Newton step taking the approximate resolution from the former grid as preliminary wager. The Newton structures are solved iteratively via a suitable smoothing strategy. We turn out that the set of rules yields an approximate resolution in the discretization errors at the best grid only if the beginning approximation is adequately actual and that the preliminary grid dimension is satisfactorily small. in addition, we convey that the strategy has multigrid complexity.
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A cascadic multigrid algorithm for semilinear elliptic problems by Timmermann G.