TY - JOUR
T1 - A FEM-Multigrid Scheme for Elliptic Nash-Equilibrium Multiobjective Optimal Control Problems
AU - Mohammad Tanvir Rahman & Alfio Borzì
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 2
SP - 253
EP - 282
PY - 2015
DA - 2015/08
SN - 8
DO - http://doi.org/10.4208/nmtma.2015.w11si
UR - https://global-sci.org/intro/article_detail/nmtma/12410.html
KW - 
AB - <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>