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| 三维有限元本征值的外推 | |
| 引用本文： | 林群,周俊明,陈竑焘.三维有限元本征值的外推[J].数学的实践与认识,2011,41(11). |
| 作者姓名： | 林群 周俊明 陈竑焘 |
| 作者单位： | 1. 中国科学院数学与系统科学研究院,北京,100190 2. 河北工业大学理学院,天津,300160 3. 厦门大学数学科学学院,福建厦门,361005 |
| 摘 要： | 通过二维和三维积分恒等式,探讨泊松方程本征值问题三角线元和四面体线元Richardson外推的可行性.理论分析表明,如果剖分为均匀一致和拟一致,外推均可将解的精度提高二阶. |
| 关 键 词： | 本征值问题 三角线元 四面体线元 恒等式 外推 |
Extrapolation of Three-dimensional Eigenvalue Finite Element Approximation |
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| LIN Qun,ZHOU Jun-ming,CHEN Hong-tao.Extrapolation of Three-dimensional Eigenvalue Finite Element Approximation[J].Mathematics in Practice and Theory,2011,41(11). | |
| Authors: | LIN Qun ZHOU Jun-ming CHEN Hong-tao |
| Abstract: | The authors use the two and three dimensional integral identities to explore the feasibility of the Richardson extrapolation of triangular and tetrahedral linear finite element solution for Poisson eigenvalue problem.Theoretical analysis shows that,if the subdivision is uniform or quasi-uniform,the extrapolation can improve the accuracy of second order. |
| Keywords: | eigenvalue problem triangular linear finite element tetrahedral linear finite element integral identity extrapolation |
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