RT Journal Article
T1 Pointwise control of the Burgers equation and related Nash equilibrium problems: Computational approach
A1 Ramos Del Olmo, Ángel Manuel
A1 Glowinski, R.
A1 Periaux, J.
AB This article is concerned with the numerical solution of multiobjective control problems associated with nonlinear partial differential equations and more precisely the Burgers equation. For this kind of problems, we look for the Nash equilibrium, which is the solution to a noncooperative game. To compute the solution of the problem, we use a combination of finite-difference methods for the time discretization, finite-element methods for the space discretization, and a quasi-Newton BFGS algorithm for the iterative solution of the discrete control problem. Finally, we apply the above methodology to the solution of several tests problems. To be able to compare our results with existing results in the literature, we discuss first a single-objective control problem, already investigated by other authors. Finally, we discuss the multiobjective case.
PB Kluwer Academic/Plenum Publ
SN 0022-3239
YR 2002
FD 2002
LK https://hdl.handle.net/20.500.14352/57805
UL https://hdl.handle.net/20.500.14352/57805
LA eng
NO Universidad Complutense de Madrid,
NO Texas Higher Education Coordinating Board
NO DGES
DS Docta Complutense
RD 7 abr 2025