Multiscale Asymptotic Analysis and Computation of Optimal Control for Elliptic Systems with Constraints
Jianjun Liu, Liqun Cao, Ningning Yan · SIAM Journal on Numerical Analysis · 2013
This paper reports the multiscale analysis and numerical algorithms for a class of distributed elliptic optimal control problems with constraints. Multiscale asymptotic expansions are presented, and an explicit rate of convergence is derived. A multiscale numerical method is developed. Numerical experiments are carried out to validate the predicted convergence results.