A Semismooth Newton Multigrid Method for Constrained Elliptic Optimal Control Problems Conference Paper

abstract

• Springer International Publishing Switzerland 2015. A multigrid scheme is proposed for solving the Schur complement linear systems arising in each Newton iteration when the semi-smooth Newton method is applied to solve control-constrained elliptic optimal control problems. Numerical experiments are performed to illustrate the high efficiency of our proposed method. Computation simulation shows that the convergence rate is quite robust as the regularization parameter approaches to zero.

authors

• Huang, Tingwen

published proceedings

• ADVANCES IN GLOBAL OPTIMIZATION

author list (cited authors)

• Liu, J., Huang, T., & Xiao, M.

citation count

• 0

complete list of authors

• Liu, Jun||Huang, Tingwen||Xiao, Mingqing

publication date

• January 2015

publisher

• Springer Nature  Publisher

published in

• Springer Proceedings in Mathematics and Statistics  Journal

keywords

• Elliptic Optimal Control
• Multigrid Method
• Schur Complement
• Semismooth Newton Method

Digital Object Identifier (DOI)

• 10.1007/978-3-319-08377-3_39

International Standard Book Number (ISBN) 13

• 978-3-319-08376-6

start page

• 397

end page

• 405

volume

• 95

URL

• http://dx.doi.org/10.1007/978-3-319-08377-3_39