Extrapolation Algorithms for Solving First-Kind Boundary Integral Equations of Laplace Problems
The extrapolation algorithms (EAs) are applied to the boundary integral equations (BIEs) of axisymmetric problems governed by Laplaces equation. By ring potential theory,the double integral equations of axisymmetric Laplace problems can be converted into the single integral equations. For solving the boundary integral equations,the mechanical quadrature methods (MQMs) based on the quadrature rules for computing the singular periodic functions are presented,which possesses high accuracy orders O(h3) and low computing complexities. Moreover,using the extrapolation algorithms based on the asymptotic error expansion,we can not only improve the accuracy order of approximation,but also give a posteriori error estimate. The accuracy orders of the approximation are very high,and the extrapolation algorithms are also very effective.
Boundary integral equation Mechanical quadrature method Extrapolation algorithm Laplace problem
Pan Cheng Yuan Tian
School of Science,Chongqing Jiaotong University,Chongqing 400074,PR,China School of Humanities,Chongqing Jiaotong University,Chongqing 400074,PR,China
国际会议
西安
英文
308-312
2011-12-23（万方平台首次上网日期，不代表论文的发表时间）