Bio-inspired design and the broader field of design-by-analogy have been the basis of
numerous innovative designs throughout history; yet there remains much to be understood …

Many important partial differential equation problems in homogeneous media, such as those
of acoustic or electromagnetic wave propagation, can be represented in the form of integral …

A stable volume integral equation formulation based on equivalent volumetric currents is
presented for modeling electromagnetic scattering of highly inhomogeneous dielectric …

A new family of systematically constructed near-singularity cancellation transformations is
presented, yielding quadrature rules for integrating near-singular kernels over triangular …

Fully numerical schemes are presented for high precision computations of the four-
dimensional integrals arising in Galerkin surface integral equation formulations. More …

The time domain combined field integral equation (TD-CFIE), which is constructed from a
weighted sum of the time domain electric and magnetic field integral equations (TD-EFIE …

Hypersingular 4-D integrals, arising in the Galerkin discretization of surface integral
equation formulations, are computed by means of the direct evaluation method. The …

A new method to improve the accuracy and efficiency of characteristic mode (CM)
decomposition for perfectly conducting bodies is presented. The method uses the expansion …

Surface integral equation methods routinely require the integration of the singular Green's
function or its gradient over basis functions (BF) and testing functions (TF). Many techniques …

We present a generic technique, automated by computer-algebra systems and available as
open-source software, for efficient numerical evaluation of a large family of singular and …