We use inverse design to discover metalens structures that exhibit broadband, achromatic
focusing across low, moderate, and high numerical apertures. We show that standard unit …

A strong-form boundary collocation method, the singular boundary method (SBM), is
developed in this paper for the wave propagation analysis at low and moderate …

In this work, two fast multipole boundary element formulations for the linear time-harmonic
acoustic analysis of finite periodic structures are presented. Finite periodic structures consist …

A method is presented for calculating Stokes flow around multiple particles of arbitrary
shape. It uses the Method of Fundamental Solutions (MFS) applied to single particles …

This paper presents a new boundary integral equation (BIE) method for simulating
particulate and multiphase flows through periodic channels of arbitrary smooth shape in two …

A new scheme is presented for imposing periodic boundary conditions on unit cells with
arbitrary source distributions. We restrict our attention here to the Poisson, modified …

Stokes flows with near-touching rigid particles induce near-singular lubrication forces under
relative motion, making their accurate numerical treatment challenging. With the aim of …

The paper proposes a novel computational method for simulating diffraction of obliquely
incident plane waves by a doubly periodic array of arbitrarily shaped planar delaminations …

An efficient boundary element formulation is proposed to solve three-dimensional exterior
acoustic scattering problems with multi-directional periodicity. The multi-directional periodic …

We develop a boundary integral equation solver for elliptic partial differential equations on
complex 3D geometries. Our method is efficient, high-order accurate and robustly handles …