This paper presents the complete algorithm of site response analysis of nonhomogeneous topographic structures using transient two-dimensional boundary element method (BEM). Seismic behaviour of various topographic features including canyon, half plane, sedimentary filled valley and ridge sections, subjected to incident SV and P waves are analysed. The analysis shows the efficiency of the propos...

We present a new real-time method that can animate a moving elastic object that could collide with other objects in a virtual environment. For simulating physical motions of elastic objects, we exploit a Boundary Element Method (BEM), which can achieve efficient computations and desired deformation as opposed to spring models and a Finite Element Method. In case that real-time processes are req...

This paper presents some recent advances in the boundary element method (BEM) for the analysis of carbon nanotube (CNT)-based composites. Carbon nanotubes, formed conceptually by rolling thin graphite sheets, have been found to be extremely stiff, strong and resilient, and therefore may be ideal for reinforcing composite materials. However, the thin cylindrical shape of the CNTs presents great ...

This paper deals with the coupled procedure of the boundary element method (BEM) and the finite element method (FEM) for the exterior boundary value problems for the Helmholtz equation. A circle is selected as the common boundary on which the integral equation is set up with Fourier expansion. As a result, the exterior problems are transformed into nonlocal boundary value problems in a bounded ...

In this paper we describe a hybrid element method which combines the boundary element method (BEM) and the finite element method (FEM) to calculate circuit models for layout dependent capacitances. The method can handle irregularities in the stratification of the layout of the integrated circuits (IC’s). We present a stand-alone extraction program which we developed for validation and testing p...

The fast multipole method (FMM) has been regarded as one of the top 10 algorithms in scientific computing that were developed in the 20th century. Combined with the FMM, the boundary element method (BEM) can now solve large-scale problems with several million degrees of freedom on a desktop computer within hours. This opened up a wide range of applications for the BEM that has been hindered for...

Abstract. A numerical algorithm for the solution of the velocity-vorticity formulation of Navier-Stokes equations is presented. This formulation results in splitting of fluid flow into its kinematic and kinetic aspect. The Boundary Element Method (BEM) used for the solution of flow kinematics results in an implicit calculation of vorticity values at the boundary, whereas all transport equations...

The boundary element method (BEM) based cortical imaging technique (CIT) has been applied to an experimental study on human somatosensory evoked potentials (SEPs) recorded from a patient. The accuracy of the analysis was determined by comparing SEPs recorded from the scalp with those recorded directly from the patient's cortex. The results indicate that the CIT improved the spatial resolution o...

A boundary element method (BEM) combined with a linear slip boundary condition is proposed to calculate SH wave scattering from fractures. The linear slip boundary condition was proposed by Schoenberg (1980) to model elastic wave propagation through an imperfectly bonded interface, where the traction cross the interface is continuous and displacement is discontinuous. Here, we demonstrate how t...

The explicit, closed-form expressions of the Green’s functions for generally anisotropic elastic solids in three-dimensions that have been derived using Stroh’s formalism are employed in a formulation of the boundary element method (BEM). Unlike several other existing schemes, the evaluation of these fundamental solutions does not require further numerical integration in the BEM algorithm; they...