[图书][B] Optimal control of partial differential equations
This is a book on Optimal Control Problems (OCPs): how to formulate them, how to set up a
suitable mathematical framework for their analysis, how to approximate them numerically …
suitable mathematical framework for their analysis, how to approximate them numerically …
[图书][B] Optimization of elliptic systems: theory and applications
P Neittaanmaki, J Sprekels, D Tiba - 2007 - books.google.com
The present monograph is intended to provide a comprehensive and accessible introduction
to the optimization of elliptic systems. This area of mathematical research, which has many …
to the optimization of elliptic systems. This area of mathematical research, which has many …
A Legendre–Galerkin spectral method for optimal control problems governed by elliptic equations
In this paper, we study the Legendre–Galerkin spectral approximation for a constrained
optimal control problem. We first derive a priori error estimates for the spectral approximation …
optimal control problem. We first derive a priori error estimates for the spectral approximation …
Error estimates and superconvergence of mixed finite element methods for convex optimal control problems
In this paper, we investigate the discretization of general convex optimal control problem
using the mixed finite element method. The state and co-state are discretized by the lowest …
using the mixed finite element method. The state and co-state are discretized by the lowest …
A posteriori error analysis of optimal control problems with control constraints
K Kohls, A Rosch, KG Siebert - SIAM Journal on Control and Optimization, 2014 - SIAM
We derive a unifying framework for the a posteriori error analysis of control constrained
linear-quadratic optimal control problems. We consider finite element discretizations with …
linear-quadratic optimal control problems. We consider finite element discretizations with …
Superconvergence of mixed finite element methods for optimal control problems
Y Chen - Mathematics of Computation, 2008 - ams.org
In this paper, we investigate the superconvergence property of the numerical solution of a
quadratic convex optimal control problem by using rectangular mixed finite element …
quadratic convex optimal control problem by using rectangular mixed finite element …
Adaptive finite element method for elliptic optimal control problems: convergence and optimality
W Gong, N Yan - Numerische Mathematik, 2017 - Springer
In this paper we consider the convergence analysis of adaptive finite element method for
elliptic optimal control problems with pointwise control constraints. We use variational …
elliptic optimal control problems with pointwise control constraints. We use variational …
A posteriori error estimates of recovery type for distributed convex optimal control problems
R Li, W Liu, N Yan - Journal of Scientific Computing, 2007 - Springer
In this paper, we derive a posteriori error estimates of recovery type, and present the
superconvergence analysis for the finite element approximation of distributed convex …
superconvergence analysis for the finite element approximation of distributed convex …
[PDF][PDF] Error estimates and superconvergence of mixed finite element for quadratic optimal control
ERROR ESTIMATES AND SUPERCONVERGENCE OF MIXED FINITE ELEMENT FOR
QUADRATIC OPTIMAL CONTROL 1. Introduction Finite element approx Page 1 INTERNATIONAL …
QUADRATIC OPTIMAL CONTROL 1. Introduction Finite element approx Page 1 INTERNATIONAL …
A new finite element approximation of a state-constrained optimal control problem
In this paper, we study numerical methods for an optimal control problem with pointwise
state constraints. The traditional approaches often need to deal with the deltasingularity in …
state constraints. The traditional approaches often need to deal with the deltasingularity in …