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Thesis

A closest point penalty method for evolution equations on surfaces

Abstract:

This thesis introduces and analyses a numerical method for solving time-dependent partial differential equations (PDEs) on surfaces. This method is based on the closest point method, and solves the surface PDE by solving a suitably chosen equation in a band surrounding the surface. As it uses an implicit closest point representation of the surface, the method has the advantages of being simple to implement for very general surfaces, and amenable to discretization with a broad class of nume...

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Institution:
University of Oxford
Oxford college:
Oriel College
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute
Role:
Author

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Role:
Supervisor
Publication date:
2014
Type of award:
DPhil
Level of award:
Doctoral
URN:
uuid:29385f90-b927-4151-b5df-cf877cef00ef
Local pid:
ora:12539
Language:
English
Keywords:
Subjects:

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