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

DOI10.1007/s10444-017-9569-1zbMath1391.78334OpenAlexW2767502902MaRDI QIDQ723748

Li-Lian Wang, Bo Wang, Zi-Qing Xie

Publication date: 24 July 2018

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-017-9569-1

zbMATH Keywords

Maxwell equationsspherical harmonicsHelmholtz equationspectral elementsmultiple scatteringvector spherical harmonicsanalytic formulasfar-field scattering waveshigh mode expansions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Wave scattering in solid mechanics (74J20) Spectral and related methods applied to problems in solid mechanics (74S25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Waves and radiation in optics and electromagnetic theory (78A40) Lamé, Mathieu, and spheroidal wave functions (33E10) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

Related Items (3)

Modified Electromagnetic Transmission Eigenvalues in Inverse Scattering Theory ⋮ Seamless integration of elliptic Dirichlet-to-Neumann boundary condition and high order spectral element method for scattering problem ⋮ An Adaptive Finite Element DtN Method for the Elastic Wave Scattering Problem in Three Dimensions

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