【摘 要】
：
This study presents an improved sinh transformation for numerical evaluation of nearly singular 2D integrals over the eight-node second-order quadrilateral
【出 处】
：
第五届亚太国际工程中计算方法学术会议暨第11届全国工程计算方法学术会议
论文部分内容阅读
This study presents an improved sinh transformation for numerical evaluation of nearly singular 2D integrals over the eight-node second-order quadrilateral geometry elements arising in 3D BEM.Other than the previous sinh transformation techniques,in which the projection point is defined in a rigorous way,namely,the line consisting of the evaluation point and the projection point must be perpendicular to the tangential plane through the projection point,named the conventional projection point(CPP),for curved surface elements,the new scheme introduces the notion of the generalized projection point(GPP)by defining it as being the nearest to the evaluation point for all the points on the integration element.Based on this,for the computational modelling,an exact formula of distance is proposed,in which the 'exact' means that this formula is equal to the actual distance,r,between the source and the field point instead of an approximation of r.And then an extended form of the sinh transformation is developed to smooth out the rapid variation of the distance function on the integration interval.
其他文献
CAD model with consistent topology is a fundamental precondition in many fields.Currently,on-uniform rational B-spline(NURBS)is a standard method for free-f
1 Introduction The torsion problem of bars is an important issue in engineering science.Especially in last decades it is investigated due to biomechanical resea
Boundary element method(BEM)has been applied to analyze contact problems in two or three dimensions in last three decades,and the direct constraint method i
By introducing a new method to establish the local Cartesian coordinate system and calculate the derivatives of the shape functions with respect to the loca
The boundary element method has been developed as an important complement of the finite elementmethod in several decades,and the higher accuracy can be rega
Based on the recently developed finite integration method for solving partial differential equations,we extend in this paper the advantages of the method in
At present,finite element methods have been widely applied to solving a variety of engineering problems.In the fields of petroleum engineering,researchers h
A high-accuracy boundary element method is presented for solving acoustic problems.This new method is based on the acoustical Burton-Miller boundary integra
In this talk we address two problems that occur in the application of the MFS,concerning the resolution of nonlinear PDE problems and the approximation of d