The use of optimization techniques in the solution of partial differential equations from science and engineering

Optimal Control of systems governed by Partial Differential Equations is an applications-driven area of mathematics involving the formulation and solution of minimization problems. Given a physical phenomenon described by a differential equation, the Optimal Control Problem (OCP) seeks to force stat...

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Bibliographic Details
Main Author:	Kearsley, Anthony Jose
Other Authors:	Glowinski, Roland
Format:	Others
Language:	English
Published:	2009
Subjects:	Mathematics Computer Science Applied Mechanics
Online Access:	http://hdl.handle.net/1911/16938

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spelling	ndltd-RICE-oai-scholarship.rice.edu-1911-169382013-10-23T04:09:24ZThe use of optimization techniques in the solution of partial differential equations from science and engineeringKearsley, Anthony JoseMathematicsComputer ScienceApplied MechanicsOptimal Control of systems governed by Partial Differential Equations is an applications-driven area of mathematics involving the formulation and solution of minimization problems. Given a physical phenomenon described by a differential equation, the Optimal Control Problem (OCP) seeks to force state variables to behave in a particular, desired way. This manipulation of state variables is achieved through the control variables. Many problems arising in applications of science and engineering can fruitfully be viewed and formulated as OCP problems. From the OCP point of view, one sees the structure underlying the optimization problem. In this thesis we will propose and analyze algorithms for the solution of Nonlinear Programming Problems (NLP) designed to exploit the OCP structure.Glowinski, RolandTapia, Richard A.2009-06-04T00:14:46Z2009-06-04T00:14:46Z1996ThesisText160 p.application/pdfhttp://hdl.handle.net/1911/16938eng
collection	NDLTD
language	English
format	Others
sources	NDLTD
topic	Mathematics Computer Science Applied Mechanics
spellingShingle	Mathematics Computer Science Applied Mechanics Kearsley, Anthony Jose The use of optimization techniques in the solution of partial differential equations from science and engineering
description	Optimal Control of systems governed by Partial Differential Equations is an applications-driven area of mathematics involving the formulation and solution of minimization problems. Given a physical phenomenon described by a differential equation, the Optimal Control Problem (OCP) seeks to force state variables to behave in a particular, desired way. This manipulation of state variables is achieved through the control variables. Many problems arising in applications of science and engineering can fruitfully be viewed and formulated as OCP problems. From the OCP point of view, one sees the structure underlying the optimization problem. In this thesis we will propose and analyze algorithms for the solution of Nonlinear Programming Problems (NLP) designed to exploit the OCP structure.
author2	Glowinski, Roland
author_facet	Glowinski, Roland Kearsley, Anthony Jose
author	Kearsley, Anthony Jose
author_sort	Kearsley, Anthony Jose
title	The use of optimization techniques in the solution of partial differential equations from science and engineering
title_short	The use of optimization techniques in the solution of partial differential equations from science and engineering
title_full	The use of optimization techniques in the solution of partial differential equations from science and engineering
title_fullStr	The use of optimization techniques in the solution of partial differential equations from science and engineering
title_full_unstemmed	The use of optimization techniques in the solution of partial differential equations from science and engineering
title_sort	use of optimization techniques in the solution of partial differential equations from science and engineering
publishDate	2009
url	http://hdl.handle.net/1911/16938
work_keys_str_mv	AT kearsleyanthonyjose theuseofoptimizationtechniquesinthesolutionofpartialdifferentialequationsfromscienceandengineering AT kearsleyanthonyjose useofoptimizationtechniquesinthesolutionofpartialdifferentialequationsfromscienceandengineering
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The use of optimization techniques in the solution of partial differential equations from science and engineering

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