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

In this article, the general (composite) Newton–Cotes rules for evaluating Hadamard finite-
part integrals with third-order singularity (which is also called “supersingular integrals”) are …

Using a Cauchy integral formulation of the boundary integral equations, we simulate the
erosion of a porous medium comprised of up to 100 solid bodies embedded in a two …

Accurate evaluation of nearly singular integrals plays an important role in the overall
accuracy of the Boundary Element Method (BEM). A new approach for the evaluation of …

In this paper, the composite Newton–Cotes rule for evaluating hypersingular integral on a
circle is investigated, we focus on the emphasis of the pointwise superconvergence. Taking …

The Simpson's rule for the computation of supersingular integrals in boundary element
methods is discussed, and the asymptotic expansion of error function is obtained. A series to …

This article considers methods of weakly singular and hypersingular integral regularization
based on the theory of distributions. For regularization of divergent integrals, the Gauss …

The generalized middle rectangle rule for the computation of certain hypersingular integrals
is discussed. A generalized middle rectangle rule with the density function approximated …

In this paper, a general class of methods is proposed for the evaluation of hypesingular/
supersingular integrals with a periodic integrand, of singularity higher than or equal to 2. The …

The Symmetric Galerkin Boundary Element Method is employed in thin plate bending
analysis in accordance with the Love–Kirchhoff kinematical assumption. The equations are …