Recent developments in the computational automated design of electromagnetic devices,
otherwise known as inverse design, have significantly enhanced the design process for …

While fast multipole methods (FMMs) are in widespread use for the rapid evaluation of
potential fields governed by the Laplace, Helmholtz, Maxwell or Stokes equations, their …

Abstract We present a Fourier Continuation-based parallel pseudospectral method for
incompressible fluids in cuboid non-periodic domains. The method produces dispersionless …

This paper presents novel methodologies for the numerical simulation of scattering of elastic
waves by both closed and open surfaces in three-dimensional space. The proposed …

We present an effective harmonic density interpolation method for the numerical evaluation
of singular and nearly singular Laplace boundary integral operators and layer potentials in …

We present algorithms for computing weakly singular and near-singular integrals arising
when solving the 3D Helmholtz equation with curved boundary elements. These are based …

We present a fast direct solver for boundary integral equations on complex surfaces in three
dimensions using an extension of the recently introduced recursive strong skeletonization …

We compute the scattering of unsteady acoustic waves about complex three-dimensional
bodies with high order accuracy. The geometry of a scattering body is defined with the help …

This paper presents a general high-order kernel regularization technique applicable to all
four integral operators of Calderón calculus associated with linear elliptic PDEs in two and …

Many applications in magnetic confinement fusion require the efficient calculation of surface
integrals with singular integrands. The singularity subtraction approaches typically used to …