Single Level Multipole Expansions and Operators for Potentials of the Form r-Lambda
نویسندگان
چکیده
This paper presents the generalized multipole, local and translation operators for three dimensional static potentials of the form r, where λ is any real number. Addition theorems are developed using Gegenbauer polynomials. Multipole expansions and error bounds are presented in a manner similar to those for truncated classical multipole expansions. Numerical results showing error behavior versus number of terms, distance and λ are presented.
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عنوان ژورنال:
- SIAM J. Scientific Computing
دوره 26 شماره
صفحات -
تاریخ انتشار 2005