摘要
This paper presents mechanical quadrature methods for solving first-kind boundary integral equations on polygonal regions, which possesses high accuracy O(h0^3)and low computing complexities. Moreover, the multivariate asymptotic expansion of the error with hi^3(i = 1,…,d) power is shown. Using the multi-parameter asymptotic expansion, we not only get a high precisioin approximation solution by means of the splitting extrapolation, but also derive a posteriori estimation.
This paper presents mechanical quadrature methods for solving first-kind boundary integral equations on polygonal regions, which possesses high accuracy O(h03) and low computing complexities. Moreover, the multivariate asymptotic expansion of the error with hi3(i - 1,… ,d) power is shown. Using the multi-parameter asymptotic expansion, we not only get a high precisioin approximation solution by means of the splitting extrapolation, but also derive a posteriori estimation.
出处
《计算数学》
CSCD
北大核心
2004年第1期51-60,共10页
Mathematica Numerica Sinica
基金
国家自然科学基金(10171073)
教育部博士点基金资助项目.
