On the controllability of diffusion processes on a sphere: A numerical study

D. Assaely León Velasco, Roland GLOWINSKI, L. Héctor Juárez Valencia

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

The main goal of this article is to study computationally the controllability of a diffusion process on the surface of a sphere in R3. To achieve this goal, we employ a methodology combining finite differences for the time discretization, finite elements for the space approximation, and a conjugate gradient algorithm for the iterative solution of the discrete control problems. The results of numerical experiments, obtained using the above methodology, will be presented. Furthermore, the null-controllability properties of the diffusion model under consideration will be also studied computationally.

Original languageEnglish
JournalESAIM - Control, Optimisation and Calculus of Variations
Volume13
DOIs
Publication statusPublished - 2016

Scopus Subject Areas

  • Control and Systems Engineering
  • Control and Optimization
  • Computational Mathematics

User-Defined Keywords

  • Approximate controllability
  • Conjugate gradient
  • Diffusion process
  • Laplace-Beltrami operator
  • Null-controlability
  • Surface of a shere

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