Numerical Stackelberg--Nash Control for the Heat Equation

DOI10.1137/19M1253320zbMath1462.35421OpenAlexW3084152656MaRDI QIDQ5131977

Pitágoras Pinheiro de Carvalho, Enrique Fernández-Cara

Publication date: 9 November 2020

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1253320

zbMATH Keywords

controllabilityheat equationStackelberg-Nash strategies

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Controllability (93B05) Heat equation (35K05) 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 classical thermodynamics and heat transfer (35Q79) PDEs in connection with control and optimization (35Q93)

Related Items (4)

Stackelberg-Nash null controllability of heat equation with general dynamic boundary conditions ⋮ Hierarchical controllability for a nonlinear parabolic equation in one dimension ⋮ Carleman estimates and controllability results for fully discrete approximations of 1D parabolic equations ⋮ Some numerical results for control of 3D heat equations using Nash equilibrium

Uses Software

• UMFPACK
• FreeFem++

Cites Work

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