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24 December 2003 Fast Poisson solvers on nonequispaced grids: multigrid and Fourier methods compared
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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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Gisela Poeplau and Daniel Potts "Fast Poisson solvers on nonequispaced grids: multigrid and Fourier methods compared", Proc. SPIE 5205, Advanced Signal Processing Algorithms, Architectures, and Implementations XIII, (24 December 2003); https://doi.org/10.1117/12.503390
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