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A DIRECT ADAPTIVE POISSON SOLVER OF ARBITRARY ORDER ACCURACY

机译:任意阶精度的直接自适应Poisson解

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摘要

We present a direct, adaptive solver for the Poisson equation which can achieve any prescribed order of accuracy. It is based on a domain decomposition approach using local spectral approximation, as well as potential theory and the fast multipole method. In two space dimensions, the algorithm requires O(NK) work, where N is the number of discretization points and K is the desired order Of accuracy. (C) 1996 Academic Press, Inc. [References: 33]
机译:我们为Poisson方程提供了一种直接的自适应求解器,可以实现任何规定的精度顺序。它基于使用局部频谱逼近的域分解方法,以及势能理论和快速多极子方法。在两个空间维度上,该算法需要O(NK)功,其中N是离散点的数量,K是所需的精度等级。 (C)1996 Academic Press,Inc. [参考:33]

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