4 papers
Finite Element Analysis of Nash Equilibrium of Bi-objective Optimal Control Problem Governed by Stokes Equation with -norm State-Constraints
Kedarnath Buda, B. V. Rathish Kumar, Anil Rathi
This paper investigates the Nash equilibrium of a bi-objective optimal control problem governed by the Stokes equations. A multi-objective Nash strategy is formulated, and fundamen…
Nash Equilibrium of Bi-objective Optimal Control of Fractional Space-Time Parabolic PDE
Kedarnath Buda, B. V. Rathish Kumar, Anil Rathi
This work investigates the existence and uniqueness of the Nash equilibrium (solutions to competitive problems in which individual controls aim at separate desired states) for a bi…
Adaptive SIPG method for approximations of boundary control problems governed by parabolic PDEs
Ram Manohar, B. V. Rathish Kumar, Kedarnath Buda +1
This study presents an aposteriori error analysis of adaptive finite element approximations of parabolic boundary control problems with bilateral box constraints that act on a Neum…
Optimal control of fractional Poisson equation from non-local to local
Ram Manohar, Kedarnath Buda, B. V. Rathish Kumar
In this article, the limiting behavior of the solution of the optimal control problem subjected to the fractional Poisson equation $$(-Î)^s u_s(x)=f_s(x), \quad x\in Ω…