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...

A diagonal form fast multipole boundary element method (BEM) is presented in this paper for solving 3-D acoustic wave problems based on the Burton–Miller boundary integral equation (BIE) formulation. Analytical expressions of the moments in the diagonal fast multipole BEM are derived for constant elements, which are shown to be more accurate, stable and efficient than those using direct numeric...

The Boundary Element Method (BEM) is a powerful method for simulating scattering of acoustic waves which has many advantages, particularly when the problem concerns an object in an unbounded medium. Its applications are however limited in practice because standard schemes have a computational cost which grows extremely quickly as size and frequency is increased. Fundamentally this occurs becaus...

A new adaptive fast multipole boundary element method (BEM) for solving 3-D half-space acoustic wave problems is presented in this paper. The half-space Green’s function is employed explicitly in the boundary integral equation (BIE) formulation so that a tree structure of the boundary elements only for the boundaries of the real domain need to be applied, instead of using a tree structure that ...

In this paper we present a new approach to creation of 3D surface models of MEMS devices from 2D layout masks suitable for analysis using the Boundary Element Method (BEM) [1]. The algorithm is implemented as a part of the commercially available BEM based multi-physics solver AutoMEMS [2] and is responsible for automatically generating surface 3D models from a layout (GDSII or CIF) and a user s...

The advent of high speed microcomputers and available software has made possible the calculation of magnetic fields and torques of brushless DC motors. In particular, the Boundary Element Method (BEM) has shown to be an efficient tool for the design of these motors. This paper explains the BEM approach and addresses the key concerns facing the design engineer using such software, i.e. the ease ...

In this paper, both singular and hypersingular fundamental solutions of plane Cosserat elasticity are derived and given in a ready-to-use form. The hypersingular fundamental solutions allow to formulate the analogue of Somigliana stress identity, which can be used to obtain the stress and couple-stress fields inside the domain from the boundary values of the displacements, microrotation and str...

with the effects of electric charges at rest. For modern electron and microelectromechanical systems (MEMS), an accurate electrostatic analysis is both essential and indispensable. We know that if we use the conventional boundary element method (BEM) for electrostatic problems that have singularity due to degenerate boundaries, the coincidence of the boundaries gives rise to a difficult, or ill...

The boundary element method (BEM) is one of numerical methods for the boundary-value problem of partial differential equations and has been so far used in the fields of plasma and fusion science. For example, the BEM has been adopted for solving the Grad-Shafranov (G-S) equation which describes the magnetohydrodynamics equilibrium in an axisymmetric plasma [1]. On the other hand, Mukherjee et a...

A new procedure for calculating eld points with the boundary element method (BEM) is outlined. In the conventional BEM (CBEM) eld points are computed as post{processing by recurrently solving the boundary integral equation with known boundary data for every eld point of interest. This procedure is very time-consuming. On the other hand, newly developed hybrid boundary element formulations (HBEM...