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Standard Finite Elements for the Numerical Resolution of the Elliptic Monge-Ampere Equation

Gerard Awanou
Department of Mathematics, Statistics, and Computer Science, University of Illinois, Chicago


We consider the discretization of the Dirichlet problem of the Monge-Ampere equation by finite elements. We propose a natural variational formulation which is discretized with spaces of piecewise polynomials C^r functions, r = 0, 1. We will discuss results on the existence of a solution to the discrete problem, convergence of a convexity preserving time marching method for solving it and the convergence of the discretization.

Tuesday, November 5, 2013
11:00AM AP&M 2402