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Thesis

Multilevel collocation with radial basis functions

Abstract:

In this thesis, we analyse multilevel collocation methods involving compactly supported radial basis functions. We focus on linear second-order elliptic bound- ary value problems as well as Darcy's problem. While in the former case we use scalar-valued positive definite functions for constructing multilevel approximants, in the latter case we use matrix-valued functions that are automatically divergence-free. A similar result is presented for interpolating divergence-free vector fields. Ev...

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Department:
University of Oxford
Role:
Examiner
Department:
University of Leicester
Role:
Examiner
Department:
University of Bayreuth
Role:
Supervisor
Department:
University of Oxford
Role:
Supervisor
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford

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