Accurate calculation of spherical and vector spherical harmonic expansions via spectral element grids

We present in this paper a spectrally accurate numerical method for computing the spherical/vector spherical harmonic expansion of a function/vector field with given (elemental) nodal values on a spherical surface. Built upon suitable analytic formulas for dealing with the involved highly oscillator...

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Bibliographic Details
Main Authors: Wang, Bo, Wang, Li-Lian, Xie, Ziqing
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2020
Subjects:
Online Access:https://hdl.handle.net/10356/143700
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Institution: Nanyang Technological University
Language: English

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