On the formulation and numerical simulation of distributed-order fractional optimal control problems
MA Zaky, JAT Machado - … in Nonlinear Science and Numerical Simulation, 2017 - Elsevier
In a fractional optimal control problem, the integer order derivative is replaced by a fractional
order derivative. The fractional derivative embeds implicitly the time delays in an optimal …
order derivative. The fractional derivative embeds implicitly the time delays in an optimal …
[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 …
[PDF][PDF] Moving mesh methods for computational fluid dynamics
T Tang - Contemporary mathematics, 2005 - cscamm.umd.edu
Moving Mesh Methods for Computational Fluid Dynamics Page 1 Contemporary Mathematics
Moving Mesh Methods for Computational Fluid Dynamics Tao Tang Abstract. In this paper …
Moving Mesh Methods for Computational Fluid Dynamics Tao Tang Abstract. In this paper …
Convergence and regularization results for optimal control problems with sparsity functional
G Wachsmuth, D Wachsmuth - ESAIM: Control, Optimisation and …, 2011 - cambridge.org
Optimization problems with convex but non-smooth cost functional subject to an elliptic
partial differential equation are considered. The non-smoothness arises from a L1-norm in …
partial differential equation are considered. The non-smoothness arises from a L1-norm in …
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 …
Adaptive finite element based tomography for fluorescence optical imaging in tissue
A three-dimensional fluorescence-enhanced optical tomography scheme based upon an
adaptive finite element formulation is developed and employed to reconstruct fluorescent …
adaptive finite element formulation is developed and employed to reconstruct fluorescent …
Adaptive Hermite spectral methods in unbounded domains
A novel adaptive spectral method has been recently developed to numerically solve partial
differential equations (PDEs) in unbounded domains. To achieve accuracy and improve …
differential equations (PDEs) in unbounded domains. To achieve accuracy and improve …
Adaptive finite elements for elliptic optimization problems with control constraints
In this paper we develop a posteriori error estimates for finite element discretization of elliptic
optimization problems with pointwise inequality constraints on the control variable. We …
optimization problems with pointwise inequality constraints on the control variable. We …
An a posteriori error control framework for adaptive precision optimization using discontinuous Galerkin finite element method
J Lu - 2005 - dspace.mit.edu
Introduction: Aerodynamic design optimization has seen significant development over the
past decade. Adjoint-based shape design for elliptic systems was first proposed by …
past decade. Adjoint-based shape design for elliptic systems was first proposed by …