| 小波插值Galerkin法解二维静态电磁场中的边值问题 |
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| 引用本文： | 石陆魁,沈雪勤,颜威利. 小波插值Galerkin法解二维静态电磁场中的边值问题[J]. 中国电机工程学报, 2000, 20(9): 13-16,21 |
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| 作者姓名： | 石陆魁 沈雪勤 颜威利 |
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| 作者单位： | 河北工业大学电气信息学院计算机系,天津,300130 |
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| 基金项目： | 河北省自然科学基金资助项目! ( 60 0 0 51 ) |
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| 摘 要： | 小波插值Ｇａｌｅｒｋｉｎ法（ＷＩＧＭ）是基于具有紧支撑的Ｄａｕｂｅｃｈｉｅｓ小波函数的自相关函数。在小波插值Ｇａｌｅｒｋｉｎ法中，讨论了混合边界条件和多介质问题的处理。将小波插值Ｇａｌｅｒｋｉｎ法应用于二维静态电磁场边值问题的数值计算，得到了有效的结果。
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| 关 键 词： | 边值问题 小波插值Galerkin法 二维静态电磁场 |
A WAVELET INTERPOLATION GALERKIN METHOD FOR THE NUMERICAL SOLUTION OF THE BOUNDARY PROBLEMS IN 2D STATIC ELECTROMAGNETIC FIELD |
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| SHI Lu-kui,SHEN Xue-qin,YAN Wei-li. A WAVELET INTERPOLATION GALERKIN METHOD FOR THE NUMERICAL SOLUTION OF THE BOUNDARY PROBLEMS IN 2D STATIC ELECTROMAGNETIC FIELD[J]. Proceedings of the CSEE, 2000, 20(9): 13-16,21 |
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| Authors: | SHI Lu-kui SHEN Xue-qin YAN Wei-li |
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| Abstract: | This paper develops a wavelet interpolation Galerkin method (WIGM) for solutions of the boundary value problems in 2D Static Electromagnetic field, which is based on the use of the autocorrelation functions of Daubechies's compactly supported wavelets. In this method, several techniques are discussed to deal with complex boundary conditions and to treat the domain with several media. The method is presented and some numerical results demonstrate its validity. |
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| Keywords: | autocorrelation function boundary value problem wavelet interpolation Galerkin method |
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