Abstract

We discuss how the Fast Multipole Method (FMM) applied to a boundary concentrated mesh can be used to evaluate volume potentials that arise in the boundary element method. If $h$ is the meshwidth near the boundary, then the algorithm can compute the potential in nearly $\Ord(h^{-2})$ operations while maintaining an $\Ord(h^p)$ convergence of the error. The effectiveness of the algorithms are demonstrated by solving boundary integral equations of the Poisson equation.

Degree Date

Summer 8-4-2021

Document Type

Dissertation

Degree Name

Ph.D.

Department

Computational and Applied Mathematics

Advisor

Dr. Johannes Tausch

Subject Area

Computer Engineering, Computer Science, Mathematics, Applied

Number of Pages

93

Format

.pdf

Creative Commons License

Creative Commons Attribution-Noncommercial 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License

Available for download on Wednesday, August 04, 2021

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