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定常Stokes问题的边界积分方程的高精度求积方法与外推
QUADRATURE METHODS WITH HIGH ACCURACY AND THEIR EXTRAPOLATIONS FOR SOLVING BOUNDARY INTEGRAL EQUATIONS OF STEAD STOKES PROBLEM
【摘要】 借助SideIsraeli 的求积公式,给出解Stokes 问题的边界积分方程的机械求积方法。此方法精度较高、计算量少,近似解的误差有奇数幂的渐近展开,这表明使用Richardson 外推能够改善近似解的精度阶。
【Abstract】 By means of Side Israeli’s quadrature rules,quadrature methods for solving boundary integral equations of steady Stokes problem are presented,which possess high accuracy and low computing complexities.Moreover,the asymptotic expansions with the odd powers of the errors occur which can improve the accuracy order of the approximations by Richardson’s extrapolation.
【关键词】 Stokes问题;
边界积分方程;
求积方法;
外推;
【Key words】 Stokes problem; boundary integral equation; quadrature method; extrapolation.;
【Key words】 Stokes problem; boundary integral equation; quadrature method; extrapolation.;
【基金】 国家自然科学基金
- 【文献出处】 计算物理 ,CHINESE JOURNAL OF COMPUTATION PHYSICS , 编辑部邮箱 ,1999年06期
- 【分类号】O175.5
- 【被引频次】11
- 【下载频次】116