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 fast multipole method (FMM) has been regarded as one of the top 10 algorithms in
scientific computing that were developed in the 20th century. Combined with the FMM, the …

In the present report some basic issues of and some of the modeling strategies used for
studying static and quasistatic problems in continuum micromechanics of materials are …

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 …

To reduce computational complexity and memory requirement for 3-D elastodynamics using
the boundary element method (BEM), a multi-level fast multipole BEM (FM-BEM) is …

Carbon nanotubes (CNTs) exhibit extremely high stiffness and strength, and are regarded
as perfect reinforcing fibers for developing a new class of nanocomposites. The use of …

Utilizing the multi-scale homogenization technique based on averaging theorems, three
methodologies are proposed for determining equivalent (effective) in-plane properties of …

A new fast multipole boundary element method (BEM) is presented in this paper for large‐
scale analysis of two‐dimensional (2‐D) elastostatic problems based on the direct boundary …

A boundary element method (BEM) is presented to compute the bandgaps of two-
dimensional (2D) solid–fluid phononic crystals which are composed of square or triangular …

Hybrid composite materials are the result of a combination of several phases where at least
two reinforcement elements are integrated into a matrix to improve the composite's …