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math-ph2020
A Matrix Basis Formulation For The Green's Functions Of Maxwell's Equations And The Elastic Wave Equations In Layered Media
Wenzhong Zhang, Bo Wang, Wei Cai
A matrix basis formulation is introduced to represent the 3 x 3 dyadic Green's functions in the frequency domain for the Maxwell's equations and the elastic wave equation in layere…
math.NA2020★ 1 cited
Exponential convergence for multipole and local expansions and their translations for sources in layered media: three-dimensional Laplace equation
Bo Wang, Wenzhong Zhang, Wei Cai
In this paper, we prove the exponential convergence of the multipole and local expansions, shifting and translation operators used in fast multipole methods (FMMs) for 3-dimensiona…