Surface-enhanced Raman scattering (SERS) has become a widely used spectroscopic
technique for chemical identification, providing unbeaten sensitivity down to the single …

In May 2012, the International Centre for Mathematics Sciences (ICMS) in Edinburgh hosted
the workshop Boundary Value Problems for Linear Elliptic and Integrable PDEs: Theory and …

The boundary element method (BEM) is an efficient numerical method for simulating
harmonic wave propagation. It uses boundary integral formulations of the Helmholtz …

We propose and study a nonoverlapping and nonconforming domain decomposition
method for the integral-equation-based solution of large, complex electromagnetic (EM) …

We present a domain decomposition (DD) framework for the analysis of impenetrable
structures; it allows for the electric field integral equation (EFIE) and combined field integral …

This article presents a unified description of numerical methods for solving electromagnetic
field problems. Traditionally, these methods are considered to be independent and …

We develop a non-conformal mesh discontinuous Galerkin (DG) pseudospectral time
domain (PSTD) method for 3-D elastic wave scattering problems with arbitrary fracture …

We consider the scattering of acoustic or electromagnetic waves at a penetrable object
composed of different homogeneous materials. This problem can be recast as a first-kind …

This article investigates the efficiency, accuracy and versatility of a surface integral equation
(SIE) multisolver scheme to address very complex and large-scale radiation problems …

Ever-increasing complexity in high-speed electronic devices and systems presents
significant computational challenges in the numerical analysis in terms of desired accuracy …