| 非自共轭椭圆特征值问题有限元插值校正 |
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| 引用本文： | 范馨月,杨一都. 非自共轭椭圆特征值问题有限元插值校正[J]. 计算数学, 2011, 33(1): 15-24 |
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| 作者姓名： | 范馨月 杨一都 |
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| 作者单位： | 1. 厦门大学数学科学学院, 福建厦门 361005;2. 贵州师范大学, 贵阳 550001 |
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| 基金项目： | 国家自然科学基金资助项目(No. 10761003). |
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| 摘 要： | 本文研究非自共轭椭圆特征值问题有限元插值校正方案.基于插值校正和广义Rayleigh商加速技巧,用三角形线性元二次插值、双二次元双四次插值得到了较好的结果,并用三线性元的三二次捕值将捅值校正推广到三维.
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| 关 键 词： | 非自共轭椭圆特征值问题 有限元法 插值校正 广义Rayleigh商 |
| 收稿时间： | 2009-03-03 |
THE FINITE ELEMENT INTERPOLATED CORRECTION METHOD FOR NONSELFADJOINT ELLIPTIC EIGENVALUE PROBLEMS |
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| Fan Xinyue,Yang Yidu. THE FINITE ELEMENT INTERPOLATED CORRECTION METHOD FOR NONSELFADJOINT ELLIPTIC EIGENVALUE PROBLEMS[J]. Mathematica Numerica Sinica, 2011, 33(1): 15-24 |
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| Authors: | Fan Xinyue Yang Yidu |
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| Affiliation: | 1. School of Mathematics Science, Xiamen University, Xiamen 361005, Fujian, China;2. School of Mathematics and Computer Science,Guizhou Normal University, Guiyang 550001, China |
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| Abstract: | This paper discusses interpolated correction method for nonselfadjoint elliptic eigenvalue problem. Based on the interpolated correction method and acceleration of the generalized Rayleigh quotient, by quadratic interpolation for linear triangle elements and bi-quartic interpolation for bi-quadratic elements, we obtained elegant results. Furthermore, we generalized the correction of interpolation to 3D case by the tri-quadratic interpolation for trilinear elements. |
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| Keywords: | Nonselfadjoint elliptic eigenvalue problem finite elements interpolated correction method generalized Rayleigh quotient |
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