Finite element method for parabolic optimal control problems with a bilinear state equation

DOI10.1016/j.cam.2019.112431zbMath1464.65127OpenAlexW2971392039MaRDI QIDQ2332744

Pratibha Shakya, Rajen Kumar Sinha

Publication date: 5 November 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2019.112431

zbMATH Keywords

finite element methoda priori error estimatesparabolic optimal control problemspatially discrete schemebilinear state equationlinearized backward-Euler scheme

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) A priori estimates in context of PDEs (35B45) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDE constrained optimization (numerical aspects) (49M41)

Related Items (5)

An improved iterative algorithm for solving optimal tracking control problems of stochastic systems ⋮ Convergence and stability of Galerkin finite element method for hyperbolic partial differential equation with piecewise continuous arguments ⋮ Second-order time discretization for reaction coefficient estimation of bilinear parabolic optimization problem with Neumann boundary conditions ⋮ Optimal control of three-dimensional unsteady partial differential equations with convection term in continuous casting ⋮ Two meshless methods for Dirichlet boundary optimal control problem governed by elliptic PDEs

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