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Thesis

Finite element approximation of elliptic homogenization problems in nondivergence-form

Abstract:

This thesis focuses on the construction of finite element numerical homogenization schemes for both linear and selected fully-nonlinear elliptic partial differential equations in nondivergence-form.

In the first part of the thesis, we study periodic homogenization problems of the form A(x/ε):D2 uε = f subject to a homogeneous Dirichlet boundary condition. We provide a qualitative W2,p theory and obtain optimal gradient and Hessian bounds with correc...

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Division:
MPLS
Department:
Mathematical Institute
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Author

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Funding agency for:
Sprekeler, T
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
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Deposit date:
2021-07-25

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