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Huebl, A., Lehe, R., Mitchell, C.E., Qiang, J., Ryne, R.D., Sandberg, R.T. and Vay, J. (2022) Next Generation Computational Tools for the Modeling and Design of Particle Accelerators at Exascale. Proceedings of 2022 North American Particle Accelerator Conference, Albuquerque, 7-12 August 2022, 302-306.

has been cited by the following article:

• TITLE: Implementation of the Integrated Green’s Function Method for 3D Poisson’s Equation in a Large Aspect Ratio Computational Domain

  AUTHORS: Ji Qiang, Chad Mitchell, Remi Lehe, Arianna Formenti

  KEYWORDS: Green’s Function, Poisson Equation, Particle Accelerator

  JOURNAL NAME: Journal of Software Engineering and Applications, Vol.17 No.9, September 20, 2024

  ABSTRACT: The solution of Poisson’s Equation plays an important role in many areas, including modeling high-intensity and high-brightness beams in particle accelerators. For the computational domain with a large aspect ratio, the integrated Green’s function method has been adopted to solve the 3D Poisson equation subject to open boundary conditions. In this paper, we report on the efficient implementation of this method, which can save more than a factor of 50 computing time compared with the direct brute force implementation and its improvement under certain extreme conditions.