In this paper, several numerical aspects of an existing model for fully nonlinear waves are
improved and validated to study wave breaking due to shoaling over a gentle plane slope …

In this paper, the degenerate kernels and Fourier series expansions are adopted in the null-
field integral equation to solve the exterior Helmholtz problems with alluvial valleys. The …

In this paper, we derive the null-field integral equation for a medium containing circular
cavities with arbitrary radii and positions under uniformly remote shear. To fully capture the …

Abstract A new Boundary Element Method (BEM) is developed for the solution of the
induced velocity at the sharp corners in the context of potential flow. This method is based …

A dual integral formulation for the Laplace equation problem with a corner is derived by
using the contour approach surrounding the singularity. It is found that using the contour …

It is well known that the near tip displacement field on a crack surface can be represented in
a power series in the variable \sqrtr, where r is the distance to the tip. It is shown herein that …

This paper presents a new approach for a posteriori 'pointwise'error estimation in the
boundary element method. The estimator relies upon evaluation of the residual of …

It is known that the spatial derivatives of a potential function become infinite at corner points
on a boundary under certain conditions. Numerical methods such as finite and boundary …

In this paper, two alternative approaches to the boundary element method (BEM) are
investigated; namely, the contour approach method and the direct approach method. A …

The continuation approach, presented in this paper, is a simple and unified framework for
analyzing and computing a large class of singular and near-singular integrals such as those …