ExaFMMt

This package wraps the exafmm-t library for Julia. Since Julia cannot natively call C++ functions, a C interface was added to exafmm-t in the fork at JoshuaTetzner/exafmm-t. The binary is built and published via Yggdrasil and registered as Exafmmt_jll in JuliaBinaryWrappers.

The Fast Multipole Method (FMM) reduces the complexity of the matrix-vector product of an interaction matrix evaluating the Green's function for a Laplace, Helmholtz, or modified Helmholtz kernel from $\mathcal{O}(N^2)$ to $\mathcal{O}(N)$. For the algorithmic background see Fast Multipole Method, and for its use within the Boundary Element Method see FMM with the BEM.

Since exafmm-t uses Unix-only functions, a Windows build is not available. Recommendations on how to get Windows builds working are always welcome. Please open an issue on this repository.

Note

The current JLL build expects a BLAS/LAPACK backend to be loaded through Julia's BLAS stack. If your session has no backend configured, load one such as MKL before using ExaFMMt.

Installation

The package can be installed by entering the package manager (enter ] at the julia REPL) and issuing:

pkg> add https://github.com/JoshuaTetzner/ExaFMMt.jl.git

References

[1] Wang, Tingyu, Christopher D. Cooper, Timo Betcke, and Lorena A. Barba. High-Productivity, High-Performance Workflow for Virus-Scale Electrostatic Simulations with Bempp-Exafmm. arXiv, March 20, 2021. http://arxiv.org/abs/2103.01048.
[2] Adelman, Ross, Nail A. Gumerov, and Ramani Duraiswami. FMM/GPU-Accelerated Boundary Element Method for Computational Magnetics and Electrostatics. IEEE Transactions on Magnetics 53, no. 12 (December 2017): 1–11. https://doi.org/10.1109/TMAG.2017.2725951.