Open Access
December 2009 A constrained string method and its numerical analysis
Qiang Du, Lei Zhang
Commun. Math. Sci. 7(4): 1039-1051 (December 2009).


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.


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Qiang Du. Lei Zhang. "A constrained string method and its numerical analysis." Commun. Math. Sci. 7 (4) 1039 - 1051, December 2009.


Published: December 2009
First available in Project Euclid: 25 January 2010

zbMATH: 1186.65079
MathSciNet: MR2604630

Primary: 65K10 , 65M12 , 65Z05

Keywords: augmented Lagrangian , constrained optimization , Constrained string method , Lagrange multiplier , minimum energy path , saddle point

Rights: Copyright © 2009 International Press of Boston

Vol.7 • No. 4 • December 2009
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