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A Direct Adaptive Poisson Solver of Arbitrary Order Accuracy

✍ Scribed by Leslie Greengard; June-Yub Lee

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 351 KB
Volume: 125
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.1996.0103

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✦ Synopsis

Almost all currently available methods are based on iterative techniques using multigrid [7,23], domain decom-We present a direct, adaptive solver for the Poisson equation which can achieve any prescribed order of accuracy. It is based on position [11], or some other preconditioning strategy. Una domain decomposition approach using local spectral approximafortunately, while multilevel iterations can achieve optimal tion, as well as potential theory and the fast multipole method. In efficiency in theory, they require an appropriate hierarchy two space dimensions, the algorithm requires O(NK ) work, where of coarse grids which are not provided in many practical N is the number of discretization points and K is the desired order situations. There has, however, been significant progress of accuracy.

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