Ramos Del Olmo, Ángel ManuelGlowinski, R.Periaux, J.2023-06-202023-06-2020020022-3239https://hdl.handle.net/20.500.14352/57804This article is concerned with the numerical solution of multiobjective control problems associated with linear partial differential equations. More precisely, for such problems, we look for the Nash equilibrium, which is the solution to a noncooperative game. First, we study the continuous case. Then, to compute the solution of the problem, we combine finite-difference methods for the time discretization, finite-element methods for the space discretization, and conjugate-gradient algorithms for the iterative solution of the discrete control problems. Finally, we apply the above methodology to the solution of several tests problems.engjournal articlehttp://link.springer.com/content/pdf/10.1023%2FA%3A1017981514093http://link.springer.comrestricted access519.8Linear partial differential equations: optimal controlNash equilibriaAdjoint systemsconjugate-gradient methodsMultiobjective optimization.Investigación operativa (Matemáticas)1207 Investigación Operativa