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Cascadic multigrid method for the elliptic Monge-Ampère equation. (English) Zbl 1337.65171

The author describes a cascadic multigrid method for the elliptic Monge-Ampère equation. The equation is first written in an equivalent form, which is discretized by the finite element method in each recursive level of the cascadic multigrid method. Numerical experiments are also presented.

MSC:

65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J96 Monge-Ampère equations
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