Adaptive mixed finite element methods for parabolic optimal control problems

DOI10.1155/2011/217493zbMath1235.65135OpenAlexW2138419695WikidataQ58692817 ScholiaQ58692817MaRDI QIDQ410320

Zuliang Lu

Publication date: 3 April 2012

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/217493

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parabolic equations and parabolic systems (35K99)

Related Items (1)

An integrated multicriterion \(hp\)-adaptive pseudospectral method for direct optimal control problems solving

Cites Work

• Error estimates of fully discrete mixed finite element methods for semilinear quadratic parabolic optimal control problem
• Approximation of a class of optimal control problems with order of convergence estimates
• Using piecewise linear functions in the numerical approximation of semilinear elliptic control problems
• Adaptive finite element methods for the identification of distributed parameters in elliptic equation
• Error estimates for the numerical approximation of a semilinear elliptic control problem
• A posteriori error estimates for optimal control problems governed by parabolic equations
• Error bounds for the finite element approximation of a degenerate quasilinear parabolic variational inequality
• A priori error analysis of mixed methods for nonlinear quadratic optimal control problems
• A posteriori error estimates for mixed finite element solutions of convex optimal control problems
• Finite element methods for optimal control problems governed by integral equations and integro-differential equations
• A Posteriori Error Estimates of Mixed Methods for Parabolic Optimal Control Problems
• Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
• On the approximation of the solution of an optimal control problem governed by an elliptic equation
• Finite Element Approximation of Parabolic Time Optimal Control Problems
• Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with Dirichlet controls
• Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept
• Construction and Analysis of Optimal Hierarchic Models of Boundary Value Problems on Thin Circular and Spherical Geometries
• Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
• Finite-Dimensional Approximation of a Class of Constrained Nonlinear Optimal Control Problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Adaptive mixed finite element methods for parabolic optimal control problems