摘要
By means of the quadrature rules of computing singular periodic functions, mechanical quadrature methods for solving boundary integral equations of plane elasticty problems are presented, which possess high accuracies and low computing complexities. Moreover, the asymptotic expansions with the odd powers of the errors are shown, so that we not only can improve the accuracy order of the approximations by Richardson extrapolation but also can estimate the errors of the approximations by a posteriori error estimations.
By means of the quadrature rules of computing singular periodic functions, mechanical quadrature methods for solving boundary integral equations of plane elasticty problems are presented, which possess high accuracies and low computing complexities. Moreover, the asymptotic expansions with the odd powers of the errors are shown, so that we not only can improve the accuracy order of the approximations by Richardson extrapolation but also can estimate the errors of the approximations by a posteriori error estimations.
出处
《计算数学》
CSCD
北大核心
2001年第4期491-502,共12页
Mathematica Numerica Sinica
基金
国家自然科学基金资助项目.
