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 technique. Given an approximate answer 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 bet. The Newton platforms are solved iteratively via a suitable smoothing strategy. We end up that the set of rules yields an approximate answer in the discretization errors at the most interesting grid only if the beginning approximation is satisfactorily actual and that the preliminary grid dimension is adequately 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.