The paper focuses on the optimal control of a subdiffusion model using two waveform relaxation algorithms: the Dirichlet-Neumann Waveform Relaxation (DNWR) algorithm and the Neumann-Neumann Waveform Relaxation (NNWR) algorithm.
The authors consider a quadratic cost functional that aims to achieve a target state using a control variable, subject to a fractional diffusion equation as the constraint. The DNWR algorithm is applied to a domain divided into two subdomains, while the NNWR algorithm is used for multiple non-overlapping subdomains.
The key highlights of the paper include:
The authors provide a comprehensive theoretical analysis of the convergence properties of the DNWR and NNWR algorithms, which can be useful for researchers and practitioners working on optimal control problems with fractional diffusion constraints.
A otro idioma
del contenido fuente
arxiv.org
Ideas clave extraídas de
by Soura Sana,B... a las arxiv.org 04-23-2024
https://arxiv.org/pdf/2404.13283.pdfConsultas más profundas