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