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 …

We propose a new efficient and accurate numerical method based on harmonic polynomials
to solve boundary value problems governed by 3D Laplace equation. The computational …

Flake-filled polymer membranes belong to an emerging class of composite materials that
show promise as barrier materials in many industrial applications. Though the barrier …

In this study, a modified multilevel fast multipole algorithm is constructed for investigating
large-scale particle systems. The algorithm expands the number of levels of the modified …

The progress of the boundary element method (BEM) for solving acoustic wave problems is
reviewed in this paper. The BEM is in a unique position among all the numerical methods …

The all-pairs shortest-paths problem in weighted graphs is investigated. An algorithm—the
Hidden-Paths Algorithm—that finds these paths in time O(m^*n+n^2\logn), where m^* is the …

This study presents an isogeometric fast multipole boundary element method (IGA FMBEM)
in two-dimensional (2D) acoustics and a related sensitivity-based shape optimization …

Up to now, the isogeometric boundary element method (IGBEM) has been widely applied in
different fields, and the solved problems are basically independent of time. But an excellent …

Recent experimental and numerical studies of surface gravity waves propagating over a
sloping bottom have shown that an increase in the probability of extreme waves can be …

According to the concept of isogeometric analysis, we have developed a boundary element
method (BEM) using B-spline basis functions for the two-dimensional Laplace equation …