Numerical solution of the two-dimensional elliptic Monge-Ampère equation with Dirichlet boundary conditions: An augmented Lagrangian approach

Comptes Rendus Mathematique

Volumn 336, Issue 9, 2003, Pages 779-784

  Dean, Edward J ^a   Glowinski, Roland ^a  

^a University of Houston   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038783139     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(03)00149-3     Document Type: Article

References (7)

1. T. Aubin, Nonlinear Analysis on Manifolds, Springer-Verlag, Berlin, 1982.
2. L.A. Caffarelli, The Monge-Ampère equation and optimal transportation: an elementary review, Lecture at ICM 2002, Beijing, August 20-28, 2002.
3. L.A. Caffarelli, X. Cabre, Fully Nonlinear Elliptic Equations, American Mathematical Society, Providence, RI, 1995.
4. M. Fortin, R. Glowinski, Augmented Lagrangians, North-Holland, Amsterdam, 1983.
5. R. Glowinski, P. Le Tallec, Augmented Lagrangians and Operator Splitting Methods in Nonlinear Mechanics, SIAM, Philadelphia, 1989.
6. R. Glowinski, J.-L. Lions, R. Tremolieres, Numerical Analysis of Variational Inequalities, North-Holland, Amsterdam, 1981.
7. 2 = f and its discretization, I, Numer. Math. 54 (1988) 271-293.