Boundary concentrated finite elements for optimal control problems with distributed observation

DOI10.1007/s10589-015-9737-5zbMath1333.49045OpenAlexW2054303564MaRDI QIDQ496221

K. Hofer, J.-E. Wurst, Daniel Wachsmuth, Sven Beuchler

Publication date: 21 September 2015

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10589-015-9737-5

zbMATH Keywords

optimal controlelliptic partial differential equationsa-priori error estimatesboundary-concentrated finite elementshigher-order discretization

Mathematics Subject Classification ID

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

A posteriori error control for distributed elliptic optimal control problems with control constraints discretized by \(hp\)-finite elements, Optimal Control of Interface Problems withhp-finite Elements, Exponential Convergence of $hp$-Finite Element Discretization of Optimal Boundary Control Problems with Elliptic Partial Differential Equations

Cites Work

• Boundary concentrated finite elements for optimal boundary control problems of elliptic PDEs
• A posteriori error estimates for \(hp\) finite element solutions of convex optimal control problems
• On saturation effects in the Neumann boundary control of elliptic optimal control problems
• Finite element error estimates for Neumann boundary control problems on graded meshes
• Error estimates for the numerical approximation of boundary semilinear elliptic control prob\-lems
• Error estimates for the numerical approximation of Neumann control problems
• \(hp\)-finite element methods for singular perturbations
• A local error analysis of the boundary-concentrated hp-FEM
• Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. II: The Trace Spaces and Application to the Boundary Value Problems with Nonhomogeneous Boundary Conditions
• A Legendre–Galerkin Spectral Method for Optimal Control Problems Governed by Elliptic Equations
• Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. Part I. Boundary Value Problems for Linear Elliptic Equation of Second Order
• The Neumann problem on Lipschitz domains
• Boundary Concentrated Finite Element Methods
• Computing with hp-ADAPTIVE FINITE ELEMENTS
• Finite element error estimates on the boundary with application to optimal control
• hp-Interpolation of Nonsmooth Functions and an Application to hp-A posteriori Error Estimation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item