Optimal Control of a Sub-diffusion Model using Dirichlet-Neumann and Neumann-Neumann Waveform Relaxation Algorithms
Optimization and Control
2025-12-17 v2 Numerical Analysis
Numerical Analysis
Abstract
This paper explores the convergence behavior of two waveform relaxation algorithms, namely the Dirichlet-Neumann and Neumann-Neumann Waveform Relaxation algorithms, for an optimal control problem with a sub-diffusion partial differential equation (PDE) constraint. The algorithms are tested on regular 1D domains with multiple subdomains, and the analysis focuses on how different constant values of the generalized diffusion coefficient affect the convergence of these algorithms.
Cite
@article{arxiv.2404.13283,
title = {Optimal Control of a Sub-diffusion Model using Dirichlet-Neumann and Neumann-Neumann Waveform Relaxation Algorithms},
author = {Soura Sana and Bankim C. Mandal},
journal= {arXiv preprint arXiv:2404.13283},
year = {2025}
}