Thesis
Geometric multigrid and closest point methods for surfaces and general domains
- Abstract:
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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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Authors
Contributors
+ Macdonald, C
Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Funding
+ King Abdullah
University of Science and Technology
More from this funder
Funding agency for:
Chen, Y
Grant:
KUK-C1-013-04
Bibliographic Details
- Publication date:
- 2015
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- Oxford University, UK
Item Description
- Language:
- English
- Keywords:
- Subjects:
- UUID:
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uuid:56a3bf12-ff09-4ea5-b406-9d77054770e2
- Local pid:
- ora:12111
- Deposit date:
- 2015-08-11
Terms of use
- Copyright holder:
- Chen, Y
- Copyright date:
- 2015
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