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Thesis

Fast iterative solvers for PDE-constrained optimization problems

Abstract:

In this thesis, we develop preconditioned iterative methods for the solution of matrix systems arising from PDE-constrained optimization problems. In order to do this, we exploit saddle point theory, as this is the form of the matrix systems we wish to solve. We utilize well-known results on saddle point systems to motivate preconditioners based on effective approximations of the (1,1)-block and Schur complement of the matrices involved. These preconditioners are used in conjunction with s...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Numerical Analysis Group
Oxford college:
Worcester College
Role:
Author

Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
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Funding agency for:
Pearson, J
Grant:
EP/P505216/1
Publication date:
2013
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
Language:
English
Keywords:
Subjects:
UUID:
uuid:316e54dc-0623-4063-b9c3-1012c62ac83a
Local pid:
ora:7483
Deposit date:
2013-10-21

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