| 圆外区域求解Helmholtz方程 |
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| 引用本文： | 关晓明,林伟. 圆外区域求解Helmholtz方程[J]. 高等学校计算数学学报, 2006, 28(4): 289-298 |
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| 作者姓名： | 关晓明 林伟 |
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| 作者单位： | 中山大学数学系,广州,510275 |
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| 基金项目： | 国家自然科学基金;广东省自然科学基金 |
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| 摘 要： | 1引言许多科学和工程计算问题都可以归结为无界区域上的偏微分方程边值问题．而求解椭圆方程边值问题的常用技术是有限元方法,可是对于无界区域,在用有限元方法求解时,往往遇到困难．最简单的办法显然是直接略去区域的无界部分求解,但这样做或者导致过低的计算精度,或者要付出很高的计算代价．边界归化,即将求解偏微分方程边值问题转化为边界积分方程,是求解某些无界区域问题的强有力的手段．自70年代以来,有限元和
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| 关 键 词： | Helmholtz方程 求解 有限元方法 偏微分方程 无界区域 外区 边值问题 边界积分方程 |
| 收稿时间： | 2004-06-13 |
| 修稿时间： | 2004-06-13 |
SOLVING HELMHOLTZ EQUATION IN AN EXTERIOR CIRCULAR DOMAIN |
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| Guan Xiaoming,Lin Wei. SOLVING HELMHOLTZ EQUATION IN AN EXTERIOR CIRCULAR DOMAIN[J]. Numerical Mathematics A Journal of Chinese Universities, 2006, 28(4): 289-298 |
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| Authors: | Guan Xiaoming Lin Wei |
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| Affiliation: | Dept. of Math., Zhongshan University, Guangzhou 510275 |
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| Abstract: | In the present thesis we are mainly concerned with therwavelet method for numerical solution of the boundary value problem of Helmholtz equation which are widely applied in mechanics and engineering. As a result, the stiffness matrix is circulant, symmetry or anti-symmetry where the nonzero entries have finite explicit expression. So that the computational cost is extremely decreased and the accuracy is extremely improved. |
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| Keywords: | wavelet Helmholtz equation natural boundary element method numerical solution. |
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