Operator Expansions for Linear Waves: Parallel Implementation and Multilayer Inversion

Fang, Zheng

Zheng_Fang.pdf (1.78 MB)

Operator Expansions for Linear Waves: Parallel Implementation and Multilayer Inversion

thesis

posted on 2015-10-21, 00:00 authored by Zheng Fang

In this contribution we discuss a novel Boundary Perturbation approach to compute general Dirichlet–Neumann Operators arising in elastodynamics in a rapid, high–order, and robust fashion. In addition, we have also implemented a parallel version of the algorithm using OpenMP and FFTW-MPI, and investigated the inversion method for 2D interface reconstruction using the Operator Expansions approach.

History

Advisor

Nicholls, David P.

Department

Mathematics, Statistics, and Computer Science

Degree Grantor

University of Illinois at Chicago

Degree Level

Doctoral

Committee Member

Awanou, Gerard Verschelde, Jan Nenciu, Irina Royston, Thomas J.

Submitted date

2015-08

Language

en

Issue date

2015-10-21

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Keywords

Dirichlet-Neumann Operator Displacement-Traction Operator Operator Expansions Navier's equation Inverse problem Parallel computing

Licence

In Copyright

Operator Expansions for Linear Waves: Parallel Implementation and Multilayer Inversion

History

Advisor

Department

Degree Grantor

Degree Level

Committee Member

Submitted date

Language

Issue date

Usage metrics

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Keywords

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