Sponsored by the US National Science Foundation, a workshop on the boundary element
method (BEM) was held on the campus of the University of Akron during September 1–3 …

The aim of this paper is to provide researchers dealing with inverse heat transfer problems a
review of the Bayesian approach to inverse problems, the related modeling issues, and the …

This paper proposes a fast time-domain boundary element method (TDBEM) to solve three-
dimensional transient electromagnetic scattering problems regarding perfectly electric …

We develop a three‐dimensional shape optimization (SO) framework for the wave equation
with taking the unsteadiness into account. Resorting to the adjoint variable method, we …

The present article proposes a time‐domain boundary element method (TDBEM) for the
three‐dimensional (3D) dissipative wave equation (DWE). Although the fundamental …

We describe a fast solver for the inhomogeneous heat equation in free space, following the
time evolution of the solution in the Fourier domain. It relies on a recently developed spectral …

We present an active cloaking method for the parabolic heat (and mass or light diffusion)
equation that can hide both objects and sources. By active, we mean that it relies on …

The fast Gauss transform allows for the calculation of the sum of N Gaussians at M points in
O(N+M) time. Here, we extend the algorithm to a wider class of kernels, motivated by …

The present paper is concerned with the numerical solution of a shape identification
problem for the heat equation. The goal is to determine of the shape of a void or an inclusion …

A new fast multipole method (FMM) is proposed to accelerate the time-domain boundary
integral equation method (TDBIEM) for the three-dimensional wave equation. The proposed …