A Priori Error Analysis for Finite Element Approximation of Parabolic Optimal Control Problems with Pointwise Control
From MaRDI portal
Publication:5494870
DOI10.1137/110840133zbMath1297.49050OpenAlexW2139644578MaRDI QIDQ5494870
Wei Gong, Michael Hinze, Zhaojie Zhou
Publication date: 30 July 2014
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/110840133
finite element methodparabolic equationoptimal control problema-priori error estimatepointwise control
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)
Related Items
Optimal control of mobile sources for heat conductivity processes ⋮ Maximal discrete sparsity in parabolic optimal control with measures ⋮ A posteriori error analysis for finite element approximations of parabolic optimal control problems with measure data ⋮ Pointwise optimal control for diffusion problems of missing data ⋮ Optimal control over moving sources in the heat equation ⋮ On the Chernous'ko Time-Optimal Problem for the Equation of Heat Conductivity in a Rod ⋮ A posteriori error estimates for parabolic optimal control problems with controls acting on lower dimensional manifolds ⋮ Finite element approximations of parabolic optimal control problem with measure data in time ⋮ Numerical Analysis of an Optimal Control Problem Governed by the Stationary Navier-Stokes Equations with Global Velocity-Constrained ⋮ Finite element approximation of optimal control problem governed by space fractional equation ⋮ Immersed finite element method and its analysis for parabolic optimal control problems with interfaces ⋮ Temporally semidiscrete approximation of a Dirichlet boundary control for a fractional/normal evolution equation with a final observation ⋮ Finite Element Approximations of Parabolic Optimal Control Problems with Controls Acting on a Lower Dimensional Manifold ⋮ A Priori Error Estimates for Finite Element Discretizations of Parabolic Optimal Control Problems with Measure Data ⋮ A Priori Error Estimates for Three Dimensional Parabolic Optimal Control Problems with Pointwise Control ⋮ Adaptive finite element method for parabolic equations with Dirac measure ⋮ A priori error analysis for time-stepping discontinuous Galerkin finite element approximation of time fractional optimal control problem ⋮ Adaptive variational discretization approximation method for parabolic optimal control problems ⋮ Finite Element Error Estimation for Parabolic Optimal Control Problems with Pointwise Observations ⋮ Approximate controllability of linear parabolic equation with memory ⋮ Local a posteriori error analysis of finite element method for parabolic boundary control problems ⋮ Finite element approach to linear parabolic pointwise control problems of incomplete data ⋮ Sparse initial data identification for parabolic PDE and its finite element approximations
