Xin Luo and Jin Huang and Pan Cheng
Mechanical Quadrature Methods for Solving First Kind Boundary Integral Equations of Stationary Stokes Problem
923 - 927
2013
7
5
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/17077
https://publications.waset.org/vol/77
World Academy of Science, Engineering and Technology
By means of SidiIsraeli’s quadrature rules, mechanical quadrature methods (MQMs) for solving the first kind boundary integral equations (BIEs) of steady state Stokes problem are presented. The convergence of numerical solutions by MQMs is proved based on Anselone’s collective compact and asymptotical compact theory, and the asymptotic expansions with the odd powers of the errors are provided, which implies that the accuracy of the approximations by MQMs possesses high accuracy order O (h3). Finally, the numerical examples show the efficiency of our methods.
Open Science Index 77, 2013