On the Numerical Controllability of the Ginzburg-Landau Equation

Autori

  • Rocío Garzón
  • Vanda Valente

DOI:

https://doi.org/10.1685/

Abstract

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

Dowloads

Pubblicato

2007-10-01

Fascicolo

V. 1 (2006)

Sezione

Articles

Licenza

Authors who submit to this journal agree to the following terms: a) Authors retain copyright over their work, while allowing the SIMAI to place this accepted work under a Creative Commons Attribution License (CC license), which allows others to freely access, use, and share the work, with an acknowledgement of the work's authorship. b) Authors are able to waive the terms of the CC license and enter into separate, additional contractual arrangements for the non-exclusive distribution and subsequent publication of this work (e.g., publish a revised version in a journal, post it to an institutional repository or publish it in a book). with an acknowledgement of its initial publication on “Communications to SIMAI Congress”. c) In addition, authors are encouraged to post and share their work online (e.g., in institutional repositories or on their website).