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

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

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...