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Thesis

Geometric multigrid and closest point methods for surfaces and general domains

Abstract:

This thesis concerns the analytical and practical aspects of applying the Closest Point Method to solve elliptic partial differential equations (PDEs) on smooth surfaces and domains with smooth boundaries. A new numerical scheme is proposed to solve surface elliptic PDEs and a novel geometric multigrid solver is constructed to solve the resulting linear system. The method is also applied to coupled bulk-surface problems.

A new embedding equation in a narrow band surrounding the surf...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Numerical Analysis Group; OCCAM
Oxford college:
St Anne's College
Role:
Author

Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
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Funding agency for:
Chen, Y
Grant:
KUK-C1-013-04
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Funding agency for:
Chen, Y
Grant:
KUK-C1-013-04
Publication date:
2015
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
Language:
English
Keywords:
Subjects:
UUID:
uuid:56a3bf12-ff09-4ea5-b406-9d77054770e2
Local pid:
ora:12111
Deposit date:
2015-08-11

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