On the controllability of diffusion processes on a sphere: A numerical study
| Autor: | D. Assaely León Velasco, L. Héctor Juárez Valencia, Roland Glowinski |
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| Rok vydání: | 2016 |
| Předmět: |
Surface (mathematics)
Control and Optimization Discretization 010102 general mathematics Mathematical analysis Finite difference 01 natural sciences Finite element method 010101 applied mathematics Controllability Computational Mathematics Diffusion process Control and Systems Engineering Conjugate gradient method 0101 mathematics Diffusion (business) Mathematics |
| Zdroj: | ESAIM: Control, Optimisation and Calculus of Variations. 22:1054-1077 |
| ISSN: | 1262-3377 1292-8119 |
| DOI: | 10.1051/cocv/2016045 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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