University of Illinois Chicago
Browse

Operator Expansions for Linear Waves: Parallel Implementation and Multilayer Inversion

Download (1.78 MB)
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

Language

  • en

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

Issue date

2015-10-21

Usage metrics

    Categories

    No categories selected

    Keywords

    Dirichlet-Neumann OperatorDisplacement-Traction OperatorOperator ExpansionsNavier's equationInverse problemParallel computing

    Licence

    In Copyright

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC