Optimal control of the convection-diffusion equation using stabilized finite element methods
In this paper we analyze the discretization of optimal control problems governed by convection-diffusion equations which are subject to pointwise control constraints. We present a stabilization scheme which leads to improved approximate solutions even on corse meshes in the convection dominated case...
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Published in | Numerische Mathematik Vol. 106; no. 3; pp. 349 - 367 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Heidelberg
Springer
01.05.2007
Berlin Springer Nature B.V New York, NY |
Subjects | |
Online Access | Get full text |
ISSN | 0029-599X 0945-3245 |
DOI | 10.1007/s00211-007-0067-0 |
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Summary: | In this paper we analyze the discretization of optimal control problems governed by convection-diffusion equations which are subject to pointwise control constraints. We present a stabilization scheme which leads to improved approximate solutions even on corse meshes in the convection dominated case. Moreover, the in general different approaches “optimize-then- discretize” and “discretize-then-optimize” coincide for the proposed discretization scheme. This allows for a symmetric optimality system at the discrete level and optimal order of convergence. |
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Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
ISSN: | 0029-599X 0945-3245 |
DOI: | 10.1007/s00211-007-0067-0 |