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 …

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 …

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 …

Moving Mesh Methods for Computational Fluid Dynamics Page 1 Contemporary Mathematics
Moving Mesh Methods for Computational Fluid Dynamics Tao Tang Abstract. In this paper …

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 …

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 …

A three-dimensional fluorescence-enhanced optical tomography scheme based upon an
adaptive finite element formulation is developed and employed to reconstruct fluorescent …

A novel adaptive spectral method has been recently developed to numerically solve partial
differential equations (PDEs) in unbounded domains. To achieve accuracy and improve …

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 …

Introduction: Aerodynamic design optimization has seen significant development over the
past decade. Adjoint-based shape design for elliptic systems was first proposed by …