Dipartimento di Matematica ''F. Casorati''

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Numerical Methods with Convergence Rates for the Monge-Ampere Equation

Prof. Ricardo H. Nochetto, University of Maryland

Aula Beltrami, Dipartimento di Matematica - Monday, January 20, 2020 h.14:15

Abstract.  We analyze the Oliker-Prussner method and a two-scale method for the Monge-Ampere equation with Dirichlet boundary condition, and explore connections with a Bellman formulation. We also study a two-scale method for a fully nonlinear obstacle problem associated with convex envelopes. We derive pointwise error estimates that rely on the discrete Alexandroff maximum principle and the geometric structure of these PDEs for both classical and non-classical solutions.

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Dipartimento di Matematica ''F. Casorati''

Università degli Studi di Pavia - Via Ferrata, 5 - 27100 Pavia
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