RT Book, Section
T1 Numerical methods for Nash equilibria in multiobjective control of partial differential equations
A1 Ramos Del Olmo, Ángel Manuel
A2 Barbu, Viorel
AB This paper is concerned with the numerical solution of multiobjective control problems associated with linear (resp., nonlinear) partial differential equations. More precisely, for such problems, we look for Nash equilibria, which are solutions to noncooperative games. 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 (resp., a suitable algorithm) for the iterative solution of the discrete control problems. Finally, we apply the above methodology to the solution of several tests problems.
PB Kluwer Academic Publishers
SN 1-4020-7439-5
YR 2003
FD 2003
LK https://hdl.handle.net/20.500.14352/60596
UL https://hdl.handle.net/20.500.14352/60596
LA eng
NO Incluye colaboración de Luis Alberto Fernández Fernández y Cecilia Pola Méndez.
NO MCYT
DS Docta Complutense
RD 8 abr 2025