Interphases in unidirectional fiber-reinforced composites under transverse loading are modeled using an advanced boundary element method (BEM) based on the elasticity theory. The interphases are treated as elastic layers between the fiber and matrix, as opposed to the springlike models in the BEM literature. Stress intensity factors for interface cracks between the interphase and the matrix are...

The accurate solution of the forward electrostatic problem is an essential first step before solving the inverse problem of magneto- and electroencephalography (MEG/EEG). The symmetric Galerkin boundary element method is accurate but cannot be used for very large problems because of its computational complexity and memory requirements. We describe a fast multipole-based acceleration for the sym...

The high solution costs and non-uniqueness difficulties in the boundary element method (BEM) based on the conventional boundary integral equation (CBIE) formulation are two main weaknesses in the BEM for solving exterior acoustic wave problems. To tackle these two weaknesses, an adaptive fast multipole boundary element method (FMBEM) based on the Burton–Miller formulation for 3-D acoustics is p...

The present work introduces the main steps towards the parallelization of existing Boundary Element Method (BEM) codes using available standard and portable libraries for writing parallel programs, such as LAPACK and ScaLAPACK. Here, a well-known BEM Fortran implementation is reviewed and rewritten to run on shared and distributed memory systems. This effort is the initial step to develop a new...

The aim of the poster is to present the acceleration of the boundary element method (BEM) by the Intel Xeon Phi technology. The poster provides brief overview of BEM followed by the discretization approach and efficient numerical assembly of the BEM matrices. We discuss its parallelization by OpenMP in shared memory and the SIMD vectorization necessary to exploit the full potential of the Xeon ...

This paper presents a method to perform 2D deformable object tracking using the boundary element method (BEM). BEM, like the finite element method (FEM), is a technique to model an elastic solid. BEM differs from FEM in that only the contour of an object needs to be meshed for BEM, making this method attractive for computer vision problems. For FEM, the interior of the object must be meshed als...

This article explores the rich heritage of the boundary element method (BEM) by examining its mathematical foundation from the potential theory, boundary value problems, Green’s functions, Green’s identities, to Fredholm integral equations. The 18th to 20th century mathematicians, whose contributions were key to the theoretical development, are honored with short biographies. The origin of the ...

An indirect boundary element method (BEM) that uses the fast multipole method (FMM) was accelerated using graphics processing units (GPUs) to reduce the time required to calculate a three-dimensional electrostatic field. The BEM is designed to handle cubic voxel models and is specialized to consider square voxel walls as boundary surface elements. The FMM handles the interactions among the surf...

Polygonal meshes are especially suited for the discretization of boundary value problems in adaptive mesh refinement strategies. Such meshes are very flexible and incorporate hanging nodes naturally. But only a few approaches are available that handle polygonal discretizations in this context. The BEM-based Finite Element Method (FEM) and a residual based error estimate are reviewed in the pres...