On the computation of Nash and Pareto equilibria for some bi-objective control problems for the wave equation

DOI10.1007/s10444-020-09812-zzbMath1464.35010OpenAlexW3082038209MaRDI QIDQ831041

Juan Bautista Límaco Ferrel, Pitágoras Pinheiro de Carvalho, Enrique Fernández-Cara

Publication date: 10 May 2021

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-020-09812-z

zbMATH Keywords

wave equationbi-objective optimal controlfinite elements and finite differences

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Initial-boundary value problems for second-order hyperbolic equations (35L20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Theoretical approximation in context of PDEs (35A35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence theories for optimal control problems involving partial differential equations (49J20) PDEs in connection with control and optimization (35Q93)

Related Items

Some numerical results for control of 3D heat equations using Nash equilibrium

Uses Software

• FreeFem++

Cites Work

• Nash equilibria for the multiobjective control of linear partial differential equations
• Pointwise control of the Burgers equation and related Nash equilibrium problems: Computational approach
• Hierarchic control for the wave equation
• On the computation of Nash and Pareto equilibria for some bi-objective control problems
• Nash equilibria in noncooperative predator-prey games
• Non-cooperative games
• SOME REMARKS ON STACKELBERG’S OPTIMIZATION
• New development in freefem++
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item