Temporally semidiscrete approximation of a Dirichlet boundary control for a fractional/normal evolution equation with a final observation
Numerical Analysis
2020-07-20 v3 Numerical Analysis
Abstract
Optimal Dirichlet boundary control for a fractional/normal evolution with a final observation is considered. The unique existence of the solution and the first-order optimality condition of the optimal control problem are derived. The convergence of a temporally semidiscrete approximation is rigorously established, where the control is not explicitly discretized and the state equation is discretized by a discontinuous Galerkin method in time. Numerical results are provided to verify the theoretical results.
Keywords
Cite
@article{arxiv.2006.04442,
title = {Temporally semidiscrete approximation of a Dirichlet boundary control for a fractional/normal evolution equation with a final observation},
author = {Qin Zhou and Binjie Li},
journal= {arXiv preprint arXiv:2006.04442},
year = {2020}
}