Subject Area
Computer Engineering, Computer Science
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
Mathematics
Advisor
Dr. Johannes Tausch
Number of Pages
93
Format
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License
Recommended Citation
Mohyaddin, Sasan, "A Fast Method For Computing Volume Potentials In The Galerkin Boundary Element Method In 3D Geometries" (2021). Mathematics Theses and Dissertations. 14.
https://scholar.smu.edu/hum_sci_mathematics_etds/14
Included in
Numerical Analysis and Computation Commons, Numerical Analysis and Scientific Computing Commons, Other Physical Sciences and Mathematics Commons
