A FEM-Multigrid Scheme for Elliptic Nash-Equilibrium Multiobjective Optimal Control Problems. Issue 2 (28th May 2015)

• Record Type: Journal Article
• Authors: Rahman, Mohammad Tanvir; Borzì, Alfio
• Is Part Of: Numerical mathematics. Volume 8:Issue 2(2015)
• Page Start: 253
• Page End: 282
• Publication Date: 2015-05-28
• Subjects: Numerical analysis -- Periodicals; Numerical analysis; Periodicals; 518.05
• DOI: 10.4208/nmtma.2015.w11si
• Languages: English
• ISSNs: 1004-8979

Abstract

<abstract abstract-type="normal"> <title>Abstract</title> <p>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> </abstract>