Grid generation and adaptation by Monge-Kantorovich optimization in two and three dimensions

Proceedings of the 17th International Meshing Roundtable, IMR 2008

Volumn , Issue , 2008, Pages 551-568

  Finn, John M ^a   Delzanno, Gian Luca ^a   Chacón, Luis ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

VARIATIONAL TECHNIQUES;

CURVED BOUNDARY; EQUIDISTRIBUTION; GRID GENERATION; NUMERICAL RESULTS; PHYSICAL DOMAIN; THREE DIMENSIONS; TWO DIMENSIONS (2D); VARIATIONAL PRINCIPLES;

MESH GENERATION;

EID: 77952426648     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/978-3-540-87921-3_33     Document Type: Conference Paper

References (10)

1. Lapenta, G.: Variational grid adaptation based on the minimization of local truncation error: Time independent problems. J. Comput. Phys. 193, 159 (2004)
2. Liao, G., Anderson, D.: A new approach to grid generation. Appl. Anal. 44, 285-297 (1992)
3. Delzanno, G.L., Chacón, L., Finn, J.M., Chung, Y., Lapenta, G.: An optimal robust equidistribution method for two-dimensional grid generation based on Monge- Kantorovich optimization. J. Comp. Phys. (submitted, 2008)
4. Evans, L.C.: Partial differential equations and Monge-Kantorovich mass transfer. In: Yau, S.T. (ed.) Current Developments in Mathematics (1997)
5. Budd, C.J., Williams, J.F.: Parabolic Monge-Ampère methods for blow-up problems in several spatial dimensions. J. Phys. A 39, 5425 (2006)
6. Caffarelli, L., Nirenberg, L., Spruck, J.: The Dirichlet problem for nonlinear 2ndorder elliptic equations I. Monge-Ampère equation. Communications on Pure and Applied Mathematics 37(3), 369-402 (1984)
7. Kelley, C.T.: Iterative Methods for Linear and Nonlinear Equations. SIAM, Philadelphia (1995)
8. Dembo, R.,Eisenstat, S., Steihaug,R.: InexactNewtonmethods. J.Numer.Anal. 19, 400 (1982)
9. Saad, Y., Schultz, M.H.: GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM journal on scientific and statistical computing 7(3), 856-869 (1986)
10. http://ndevilla.free.fr/lena/