New Nonlinear Multigrid Analysis
نویسنده
چکیده
SUMMARY The nonlinear multigrid is an eecient algorithm for solving the system of nonlinear equations arising from the numerical discretization of nonlinear elliptic boundary problems 7],,9]. In this paper, we present a new nonlinear multigrid analysis as an extension of the linear multigrid theory presented by Bramble, et al. in 5], 6], and 17]. In particular, we prove the convergence of the nonlinear V-cycle method for a class of mildly nonlinear second order elliptic boundary value problems which do not have full elliptic regularity.
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تاریخ انتشار 1995