Homotopy perturbation method HPM and boundary element method BEM for calculating the exact and numerical solutions of Poisson equation with appropriate boundary and initial conditions are presented. Exact solutions of electrostatic potential problems defined by Poisson equation are found using HPM given boundary and initial conditions. The same problems are also solved using the BEM. The cell i...

The polar coordinate transformation (PCT) method has been extensively used to treat various singular integrals in the boundary element method (BEM). However, the resultant integrands of the PCT tend to become nearly singular when (1) the aspect ratio of the element is large or (2) the field point is closed to the element boundary; thus a large number of quadrature points are needed to achieve a...

Boundary element method (BEM) is one of the numerical methods to solve boundary value problems of partial differential equations. The BEM is especially useful for wave scattering problems for unbounded domains since the numerical solution obtained by BEM automatically satisfies radiation condition, and also, discretisations only of the boundaries are required and those of the domain extending i...

Boundary element method (BEM) is a powerful computational tool for analysing piezoelectric problems. The BEM has been so well developed during the past 40 years that it has been considered as a very popular computational tool. This method consists of formulating the engineering problem in terms of an integral equations relating only boundary values and determining its solutions numerically. Thu...

Boundary integral equations are a classical tool for the analysis of boundary value problems for partial differential equations. The term “ boundary element method” (BEM) denotes any method for the approximate numerical solution of these boundary integral equations. The approximate solution of the boundary value problem obtained by BEM has the distinguishing feature that it is an exact solution...

of Paper The paper presents an algorithm for physically accurate simulation of elastic deformable objects that are also fast enough for real-time animation. The algorithm uses Boundary Element Method (BEM) (vs. Finite Element Method). The algorithm applies to deformable objects that can be simulated by linear elastic models. It achieves interactive speeds by exploiting coherence in typical inte...

This paper deals with the behaviour of acoustic cavities in the mid-high frequency range. The method proposed here is based on an energy flow method named Simplified Energy Method (MES). MES method is quite efficient in the mid-high frequency range but the directivity of the boundary sources is not well estimated. We propose a hybrid method which couples MES and the Boundary Element Method (BEM...

In this paper, the boundary-based estimation of pressure distribution in the cardiovascular system is investigated using two dimensional flow images. The conventional methods of non-invasive estimation of pressure distribution in the cardiovascular flow domain use the differential form of governing equations. This study evaluates the advantages of using the integral form of the equations in the...

The method of fundamental solutions (MFS) is a technique for the numerical solution of certain elliptic boundary value problems which falls in the class of methods generally called boundary methods. Like the boundary element method (BEM), it is applicable when a fundamental solution of the differential equation in question is known, and it shares the same advantages as the BEM over domain discr...

We describe a hybrid method which combines the boundary element method (BEM) and the finite element method (FEM) to compute circuit models for layout dependent capacitances. The method can handle irregularities in the stratification of the layout of the integrated circuits (IC’s). New in the method are the models for the interface between the regions where the BEM and the FEM are applied. We sh...