| 曲边多角形域上第一类边界积分方程的机械求积算法与分裂外推 |
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| 引用本文： | 黄晋,吕涛.曲边多角形域上第一类边界积分方程的机械求积算法与分裂外推[J].计算数学,2004,26(1):51-60. |
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| 作者姓名： | 黄晋 吕涛 |
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| 作者单位： | 四川大学数学学院,成都,610064 |
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| 基金项目： | 国家自然科学基金(10171073)，教育部博士点基金资助项目. |
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| 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.
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| 关 键 词： | 曲边多角形 第一类边界积分方程 机械求积算法 分裂外推 正弦变换 收敛性 |
THE MECHANICAL QUADRATURE METHODS AND THEIR SPLITTING EXPRAPOLATIONS FOR FIRST-KIND BOUNDARY INTEGRAL EQUATIONS ON POLYGONAL REGIONS |
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| Huang Jin Lu Tao.THE MECHANICAL QUADRATURE METHODS AND THEIR SPLITTING EXPRAPOLATIONS FOR FIRST-KIND BOUNDARY INTEGRAL EQUATIONS ON POLYGONAL REGIONS[J].Mathematica Numerica Sinica,2004,26(1):51-60. |
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| Authors: | Huang Jin Lu Tao |
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| Institution: | Huang Jin Lu Tao
(Mathematical College Sichuan University, Chengdu, 610064) |
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| Abstract: | |
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| Keywords: | polygonal regions boundary integral equation guadrature method splitting extrapolation |
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