The approximation of boundary control problems for fluid flows with an application to control by heating and cooling
type: Item
instance of: scholarly article
title: The approximation of boundary control problems for fluid flows with an application to control by heating and cooling
zbMATH Open document ID: 0778.76081
DOI: 10.1016/0045-7930(93)90056-F
author: Max Gunzburger
author: L. Hou
author: Thomas P. Svobodny
published in: Computers and Fluids
publication date: 1993-10-17T00:00:00Z
review text: The method of Lagrange multipliers is used to derive a system of partial differential equations whose solutions provide the optimal states and controls. No simplifications concerning the flow are invoked, i.e. the full Navier-Stokes equations are employed. Finite element algorithms for approximating the optimal states and controls are discussed, as is the accuracy of approximations resulting from these algorithms. Details are provided for the example of using heating and cooling controls in order to avoid hot spots along bounding surfaces.
Mathematics Subject Classification ID: 76M30
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 429005
zbMATH Keywords: cost functional
zbMATH Keywords: method of Lagrange multipliers
zbMATH Keywords: optimal states
zbMATH Keywords: accuracy of approximations
zbMATH Keywords: hot spots
MaRDI profile type: Publication
cites work: Q3571931
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description: scientific article; zbMATH DE number 429005