On the Numerical Controllability of the Ginzburg-Landau Equation

Rocío Garzón, Vanda Valente

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

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[DOI: 10.1685/] About DOI

Url Resolver: : http://dx.doi.org/10.1685/





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