| 稳态问题混合边界积分方程的高精度求积法与分裂外推 |
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| 引用本文： | 黄晋,张黔川,吕涛.稳态问题混合边界积分方程的高精度求积法与分裂外推[J].计算物理,2005,22(6):560-564. |
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| 作者姓名： | 黄晋 张黔川 吕涛 |
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| 作者单位： | 1. 电子科技大学应用数学学院,四川,成都,610054
2. 四川大学数学学院,四川,成都,610064 |
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| 基金项目： | 国家自然科学基金(1071073)资助项目 |
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| 摘 要： | 提出了求积法解稳态问题的混合边界积分方程,它拥有高精度,低复杂度.通过并行地解粗网格上的离散方程,根据误差的多参数渐近展开,应用分裂外推算法得到高精度的近似解,同时获得后验误差估计.
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| 关 键 词： | 稳态问题 混合边界积分方程 求积法 分裂外推 |
| 文章编号： | 1001-246X（2005）06-0560-05 |
| 收稿时间： | 2004-06-10 |
| 修稿时间： | 2005-01-17 |
A Quadrature Method and its Splitting Extraplation for Mixed Boundary Integral Equations of Stable Problems |
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| HUANG Jin,ZHANG Qian-chuan,LU Tao.A Quadrature Method and its Splitting Extraplation for Mixed Boundary Integral Equations of Stable Problems[J].Chinese Journal of Computational Physics,2005,22(6):560-564. |
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| Authors: | HUANG Jin ZHANG Qian-chuan LU Tao |
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| Institution: | HUANG Jin~1,ZHANG Qian-chuan~2,LU Tao~2 |
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| Abstract: | We present a quadrature method for mixed boundary integral equations of stable problems,which provides high accuracy and less complexity.Discrete equations are solved in parallel according to the coarse mesh partitions.Approximations with high accuracy are obtained by splitting extrapolation methods based on multivariate asymptotic expansion of errors.Besides,a posteriori asymptotic error estimate is derived. |
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| Keywords: | stable problem mixed boundary integral equation quadrature method splitting extrapolation |
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