In this paper, we investigate the optimal control problems governed by elliptic equations with
integral constraint for state variable in one dimension by Legendre–Galerkin spectral …

In this article, we discuss a priori error estimates of a bubble enriched nonconforming finite
element method for a linear quadratic elliptic distributed optimal control problem with …

In this paper, we study an elliptic optimal control problem with H^ 1 H 1-norm state
constraint. The control problem is approximated by the Galerkin spectral method, which can …

Deep operator networks is a popular machine learning approach. Some problems require
multiple inputs and outputs. In this work, a multi-input and multi-output operator neural …

This paper reports a novel direct Gegenbauer (ultraspherical) transcription method (GTM) for
solving continuous-time optimal control (OC) problems (CTOCPs) with linear/nonlinear …

In this paper we investigate virtual element discretization of optimal control problem
governed by Stokes equations. Based on the strategy of first-discretize-then-optimize we …

The main purpose of this paper is to discuss hp spectral element method for optimal control
problem governed by a nonlinear elliptic equation with L 2-norm constraint for control …

In this paper, we investigate a distributed optimal control problem governed by elliptic partial
differential equations with L 2-norm constraint on the state variable. Firstly, the control …

The goal of this paper is to investigate the Legendre–Galerkin spectral approximation of
elliptic optimal control problems with integral state and control constraints. Thanks to the …

A finite element method for elliptic optimal control problem in the unbounded
domain\({\mathbb {R}}^ 2\) is proposed in this paper. Initially, the domain truncation …