@Article{NMTMA-8-253,
author = {Mohammad Tanvir Rahman and Alfio Borzì},
title = {A FEM-Multigrid Scheme for Elliptic Nash-Equilibrium Multiobjective Optimal Control Problems},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2015},
volume = {8},
number = {2},
pages = {253--282},
abstract = {<p style="text-align: justify;">A finite-element multigrid scheme for elliptic Nash-equilibrium multiobjective optimal control problems with control constraints is investigated. The multigrid computational framework implements a nonlinear multigrid strategy with collective smoothing for solving the multiobjective optimality system discretized with finite elements. Error estimates for the optimal solution and two-grid local Fourier analysis of the multigrid scheme are presented. Results of numerical experiments are presented to demonstrate the effectiveness of the proposed framework.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2015.w11si},
url = {http://global-sci.org/intro/article_detail/nmtma/12410.html}
}