MECHANICAL QUADRATURE METHODS AND THEIR EXTRAPOLATIONS FOR SOLVING BOUNDARY INTEGRAL EQUATIONS OF PLANE ELASTICITY PROBLEMS
解平面弹性力学问题的边界积分方程的机械求积方法及其外推

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.