Computations of boundary optimal control problems for an electrically conducting fluid
type: Item
instance of: scholarly article
title: Computations of boundary optimal control problems for an electrically conducting fluid
zbMATH Open document ID: 0861.76075
author: Sivaguru S. Ravindran
author: L. Hou
published in: Journal of Computational Physics
publication date: 1996-12-19T00:00:00Z
review text: We study four optimal control problems for an electrically conducting fluid. The control is the (normal) electrical current on the boundary of the flow domain. The objectives are to match a desired velocity field, or to match a desired electrical potential field, or to minimize the potential gradient, or to minimize the vorticity in the flow domain. We develop a systematic way to use the Lagrange multiplier rules to derive an optimality system of equations from which an optimal solution can be computed. Mixed finite element methods are used to find approximate solutions. A direct method and an iterative method are proposed for solving the discrete, nonlinear optimality systems of equations. Numerical results for several examples are presented.
Mathematics Subject Classification ID: 76M30
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 76M10
zbMATH DE Number: 947684
zbMATH Keywords: velocity field
zbMATH Keywords: electrical potential field
zbMATH Keywords: potential gradient
zbMATH Keywords: Lagrange multiplier rules
zbMATH Keywords: optimality system
zbMATH Keywords: iterative method
MaRDI profile type: Publication
full work available at URL: jcph.1996.0213
OpenAlex ID: W1986079967
DOI: 10.1006/JCPH.1996.0213
description: scientific article; zbMATH DE number 947684