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 modern scope of boundary element methods (BEM) for acoustics is reviewed in this
paper. Over the last decades the BEM has gained popularity despite suffering from …

Usually one avoids numerical algorithms involving operations with large, fully populated
matrices. Instead one tries to reduce all algorithms to matrix-vector multiplications involving …

The FEniCS Project set out in 2003 with an idea to automate the solution of mathematical
models based on differential equations. Initially, the FEniCS Project consisted of two …

An isogeometric boundary element method based on T-splines is used to simulate acoustic
phenomena. We restrict our developments to low-frequency problems to establish the …

Solving time-harmonic wave propagation problems by iterative methods is a difficult task,
and over the last two decades an important research effort has gone into developing …

In this article we describe recent progress on the design, analysis and implementation of
hybrid numerical-asymptotic boundary integral methods for boundary value problems for the …

Hierarchical matrices present an efficient way of treating dense matrices that arise in the
context of integral equations, elliptic partial differential equations, and control theory. While a …

In this paper we propose and analyze a new, fast method for the numerical solution of time
domain boundary integral formulations of the wave equation. We employ Lubich's …

This paper presents a newly developed fast model order reduction boundary element
method (FMORBEM) for three-dimensional acoustic wave problems with the impedance …