A constrained string method is developed to solve the saddle-point problem with constraints.
Based on the intrinsic description of the string method, Lagrange multipliers are employed
for treating the constraints. Various mathematical properties are established such as the conservation
of the constraints and the energy dissipation law. We also investigate time discretization schemes
for the constrained string method and discuss possible alternative ways to enforce the constraints.
Some numerical examples are presented for illustration.
Publié le : 2009-12-15
Classification:
Constrained string method,
minimum energy path,
saddle point,
constrained optimization,
Lagrange multiplier,
augmented Lagrangian,
65K10,
65M12,
65Z05
@article{1264434143,
author = {Du, Qiang and Zhang, Lei},
title = {A constrained string method and its numerical analysis},
journal = {Commun. Math. Sci.},
volume = {7},
number = {1},
year = {2009},
pages = { 1039-1051},
language = {en},
url = {http://dml.mathdoc.fr/item/1264434143}
}
Du, Qiang; Zhang, Lei. A constrained string method and its numerical analysis. Commun. Math. Sci., Tome 7 (2009) no. 1, pp. 1039-1051. http://gdmltest.u-ga.fr/item/1264434143/