| 中子输运方程的源项反演问题 |
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| 引用本文： | 马军,朱静涛,马逸尘. 中子输运方程的源项反演问题[J]. 工程数学学报, 2009, 26(2) |
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| 作者姓名： | 马军 朱静涛 马逸尘 |
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| 作者单位： | 西安交通大学理学院,西安,710049;西安交通大学理学院,西安,710049;西安交通大学理学院,西安,710049 |
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| 摘 要： | 本文讨论了中子输运方程的解的存在性.使用有限元方法求解中子输运方程,并使用Landweber方法求解源项反演问题.给出了算法和数值模拟结果,验证了算法的有效性.
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| 关 键 词： | 中子输运方程 Landweber方法 源项反演 |
Reconstructing Source Term of the Integro-differential Transport Equation |
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| MA Jun,ZHU Jing-tao,MA Yi-chen. Reconstructing Source Term of the Integro-differential Transport Equation[J]. Chinese Journal of Engineering Mathematics, 2009, 26(2) |
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| Authors: | MA Jun ZHU Jing-tao MA Yi-chen |
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| Abstract: | The existence of a unique solution for the neutron transport equation is discussed. Using the finite element method (FEM) for direct problem of neutron transport equation and Landweber method for reconstruction of the source term, some properties are discussed and numerical simulations are presented. The calculating results show our algorithm is reasonable and effective. |
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| Keywords: | neutron transport Landweber method reconstructing source term |
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