This article provides a perspective on the current status of the formulations of dual boundary
element methods with emphasis on the regularizations of hypersingular integrals and …

The present paper is concerned with the effective numerical implementation of the two‐
dimensional dual boundary element method, for linear elastic crack problems. The dual …

The non-singular nature of the boundary integral equations (BIEs) in the boundary element
method (BEM) is discussed in this paper. The research effort leading to this conclusion is …

In this paper, an effective numerical implementation of the three-dimensional dual boundary
element method, for linear elastic crack problems, is presented. Displacement and traction …

Boundary integral equations which employ integrals which exist only if defined in the
Cauchy principal value sense or as the Hadamard finite part are currently used with success …

In this paper an application of dual boundary element method to the analysis of three-
dimensional mixed-mode crack growth is presented. The crack growth processes are …

Symmetric Galerkin Boundary Element Method presents an introduction as well as recent
developments of this accurate, powerful, and versatile method. The formulation possesses …

The paper presented here reviews the numerical techniques used currently to calculate the
singular integrals and nearly singular integrals in the boundary element analysis. Some …

The composite boundary integral equation (BIE) formulation, using a linear combination of
the conventional BIE and the hypersingular BIE, emerges as the most effective and efficient …

In this paper, the boundary element method (BEM) based on elasticity theory is developed
for two-dimensional (2-D) thin structures with the thickness to length ratio in the micro (10 …