The multiple multipole method in electro- and magnetostatic problems

The multiple multipole method in electro- and magnetostatic problems
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静电和静磁问题中的多重多极方法

DOI:
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发表时间:
1983
期刊:
影响因子:
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通讯作者:
C. Hafner
C. Hafner
中科院分区:
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文献类型:
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作者:
R. Ballisti;C. Hafner

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我们描述了一种半解析方法,它可以用于解决涉及拉普拉斯方程或亥姆霍兹方程的问题。MMP方法的核心是对拉普拉斯或亥姆霍兹方程的正则解进行一般的、非常灵活的多极展开,即使在边界复杂的情况下,也可以使用简单而廉价的数值技术。在对MMP方法进行理论描述之后,我们将报告我们在计算二维静电和静磁问题的计算机程序中使用该方法的经验。
We describe a semi-analytical method which may be applied to solve problems where either the Laplace or the Helmholtz equations are involved. The core of the MMP method is a general and very flexible multipole expansion of regular solutions of the Laplace or Helmholtz equations which allows the use of simple and inexpensive numerical techniques even in cases with complicated boundaries. After the theoretical description of the MMP method we will report about our experience using this method implemented in a computer program for the calculation of two-dimensional electro- and magnetostatic problems.