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Directors:
Randolph E. Bank
Philip E. Gill
Michael Holst

Administrative Contact:
Terry Le

Office: AP&M 7431
Phone: (858)534-9813
Fax: (858)534-5273
E-mail: tele@ucsd.edu
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

Abstract:

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