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.
To Another Language
from source content
arxiv.org
Key Insights Distilled From
by Soura Sana,B... at arxiv.org 04-23-2024
https://arxiv.org/pdf/2404.13283.pdfDeeper Inquiries