| 抛物型方程参数反演的Gauss径向基方法 |
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| 引用本文： | 闵涛,尤惠惠,毕妍妍,成瑶.抛物型方程参数反演的Gauss径向基方法[J].科技通报,2012,28(7):8-13. |
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| 作者姓名： | 闵涛 尤惠惠 毕妍妍 成瑶 |
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| 作者单位： | 西安理工大学理学院数学系,西安,710054 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 针对一类抛物型方程的参数识别反问题,给出其正问题的有限元求解过程。在此基础上,应用Gauss径向基函数结合Gauss-Newton法对其参数进行反演,并利用遗传算法对初值进行选取。讨论了当径向基函数选取不同时对反演结果的影响。通过对具体算例的数值计算,验证了所提出的方法具有较高的精度。
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| 关 键 词： | 反问题 抛物型方程 径向基函数 遗传算法 Gauss-Newton法 |
The Method of Gauss Radial Basis in Inverse Problem of Parabolic Equation |
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| MIN Tao
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YOU Huihui
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BI Yanyan
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CHENG Yao.The Method of Gauss Radial Basis in Inverse Problem of Parabolic Equation[J].Bulletin of Science and Technology,2012,28(7):8-13. |
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| Authors: | MIN Tao YOU Huihui BI Yanyan CHENG Yao |
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| Institution: | (School of Sciences,Xi’an University of Technology,Xi’an 710054,Chian) |
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| Abstract: | Aimed at the parabolic inverse problems of parameter identification,given the solving process of positive problem using the method of finite element.On this basis,solving the unknown parameters by combining Gauss radial basis function with Gauss-Newton method,and the genetic algorithm is used to select the initial value.Discussed the impact on the inversion results when selecting the different radial basis function.Through specific examples,the result manifests that the proposed method has high accuracy. |
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| Keywords: | inverse problem parabolic equation radius basis genetic algorithm Gauss-Newton method |
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