2003•Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIERequires access

Fast Poisson solvers on nonequispaced grids: multigrid and Fourier methods compared

Gisela Poeplau, Daniel Potts

Abstract

The solution of partial differential equations on adaptively generated grids play an important role in scienti£c computation. In this paper we compare two Poisson solvers for data on nonequispaced mesh points. A new meshless Fourier method based on NFFT is constructed in R3. This algorithm is compared to the well-established multigrid method working on nonequidistant meshes. Our investigations are motivated especially by simulations of the behaviour of charged particles in accelerators.

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Key concepts: Multigrid method, Polygon mesh, Partial differential equation, Computer science, Poisson's equation, Poisson distribution, Fourier transform, Computation