A least-squares method for the numerical solution of the Dirichlet problem for the elliptic monge − ampère equation in dimension two-Reference-Cited by-同舟云学术

A least-squares method for the numerical solution of the Dirichlet problem for the elliptic monge − ampère equation in dimension two

Published:2013-06-03 Issue:3 Volume:19 Page:780-810
ISSN:1292-8119
Container-title:ESAIM: Control, Optimisation and Calculus of Variations
language:
Short-container-title:ESAIM: COCV

Author:

Caboussat Alexandre,Glowinski Roland,Sorensen Danny C.

Publisher

EDP Sciences

Subject

Computational Mathematics,Control and Optimization,Control and Systems Engineering

Link

http://www.esaim-cocv.org/10.1051/cocv/2012033/pdf

Reference50 articles.

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2. Benamou J.D., Froese B.D. and Oberman A.M., Two numerical methods for the elliptic Monge − Ampère equation.ESAIM: M2AN44(2010) 737–758.

3. M. Bernadou, P.L. George, A. Hassim, P. Joly, P. Laug, A. Perronet, E. Saltel, D. Steer, G. Vanderborck and M. Vidrascu, Modulef, a modular library of finite elements. Technical report, INRIA (1988).

4. P.B. Bochev and M.D. Gunzburger,Least-Squares Finite Element Methods. Springer-Verlag, New York (2009).

5. Boehmer K., On finite element methods for fully nonlinear elliptic equations of second order.SIAM J. Numer. Anal.46(2008) 1212–1249.

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