Numerical solution of the two-dimensional elliptic Monge-Ampère equation with Dirichlet boundary conditions: A least-squares approach

Comptes Rendus Mathematique

Volumn 339, Issue 12, 2004, Pages 887-892

  Dean, Edward J ^a   Glowinski, Roland ^a,b  

^a University of Houston   (United States)

^b UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 10644254249     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2004.09.018     Document Type: Article

References (8)

1. E.J. Dean R. Glowinski Numerical solution of the two-dimensional elliptic Monge-Ampère equation with Dirichlet boundary conditions: An augmented Lagrangian approach C. R. Acad. Sci. Paris, Ser. I 336 2003 779-784
2. M. Fortin R. Glowinski Augmented Lagrangians 1983 North-Holland Amsterdam
3. R. Glowinski P. Le Tallec Augmented Lagrangians and Operator Splitting Methods in Nonlinear Mechanics 1989 SIAM Philadelphia, PA
4. E.J. Dean R. Glowinski Numerical methods for fully nonlinear equations elliptic equations of the Monge-Ampère type Comput. Methods Appl. Mech. Engrg. in press
5. E.J. Dean R. Glowinski T.W. Pan Operator-splitting methods and applications to the direct numerical simulation of particulate flow and to the solution of the elliptic Monge-Ampère equation in: Proceedings of the IFIP-WG7.2 Conference Nice, 2003 Kluwer, in press
6. R. Glowinski Finite element methods for incompressible viscous flow in: P.G. Ciarlet J.L. Lions editors Handbook of Numerical Analysis vol. IX 2003 North-Holland Amsterdam 3-1176
7. R. Glowinski J.L. Lions R. Trémolières Numerical Analysis of Variational Inequalities 1981 North-Holland Amsterdam
8. R. Glowinski Numerical Methods for Nonlinear Variational Problems 1984 Springer-Verlag New York