Boundary integral equation analysis for spheroidal suspensions
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Boundary integral equation (BIE) methods are numerical PDE methods well suited to study soft materials in nature and industry. They reduce the dimension of the problem, but are plagued by singular and near-singular integrals on and near surfaces. We use solid spheroidal harmonics to evaluate BIO on and near the surface. Coupled with smooth quadrature for far evaluation, we present a fast, spectrally accurate method for computing BIO on spheroidal suspensions.