On the Numerical Controllability of the Ginzburg-Landau Equation

Auteurs-es

  • Rocío Garzón
  • Vanda Valente

DOI :

https://doi.org/10.1685/

Résumé

The paper deals with the numerical approach to the open problem of the asymptotic controllability of the Ginzburg-Landau equation. The method we propose requires the construction of controls with minimum L2-norm for the linearized equation together with the implementation of a fixed point algorithm. A finite difference scheme for the numerical approximation of the control problem is considered and several numerical experiments both in the scalar and vector case are carried out also to investigate on the controllability of some blow-up phenomena. [DOI: 10.1685 / CSC06087] About DOI

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Publié

2007-10-01

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Articles