Method of fundamental solutions based on geodesic distance for in homogeneous inverse heat conduction problems in anisotropic medium(基于测地距离的基本解方法求解非齐次各向异性IHCP问题)
提出了一种求解非齐次各向异性热传导方程一类反问题IHCP(inverse heat conduction problem）的无网格方法,该方法通过借助基于测地距离的Multiquadric(MQ）作为基函数得到整个时间空间区域上的一个近似特解,然后用基于测地距离的基本解方法直接在整个时间空间区域上对相应的齐次问题进行求解.用截断奇异值分解(TSVD)法求解所得病态线性方程组,用L-曲线准则确定正则化参数.用数值例子验证了该方法的有效性,并分析了数值解的精度与参数T、c的关系....
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2009-01-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2009.01.006 |
| _version_ | 1827303251250249728 |
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| author | WANGJin-yu(王金玉) SUNFang-yu(孙方裕) |
| author_facet | WANGJin-yu(王金玉) SUNFang-yu(孙方裕) |
| author_sort | WANGJin-yu(王金玉) |
| collection | DOAJ |
| description | 提出了一种求解非齐次各向异性热传导方程一类反问题IHCP(inverse heat conduction problem）的无网格方法,该方法通过借助基于测地距离的Multiquadric(MQ）作为基函数得到整个时间空间区域上的一个近似特解,然后用基于测地距离的基本解方法直接在整个时间空间区域上对相应的齐次问题进行求解.用截断奇异值分解(TSVD)法求解所得病态线性方程组,用L-曲线准则确定正则化参数.用数值例子验证了该方法的有效性,并分析了数值解的精度与参数T、c的关系. |
| first_indexed | 2024-04-24T16:58:38Z |
| format | Article |
| id | doaj.art-24d8c23ace3d47d8853ec353f6f28eb8 |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:58:38Z |
| publishDate | 2009-01-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-24d8c23ace3d47d8853ec353f6f28eb82024-03-29T01:58:26ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972009-01-01361243210.3785/j.issn.1008-9497.2009.01.006Method of fundamental solutions based on geodesic distance for in homogeneous inverse heat conduction problems in anisotropic medium(基于测地距离的基本解方法求解非齐次各向异性IHCP问题)WANGJin-yu(王金玉)0SUNFang-yu(孙方裕)1 1.Department of Mathematics, Zhejiang University, Hangzhou 310027, China( 1.浙江大学数学系，浙江 杭州 310027) 1.Department of Mathematics, Zhejiang University, Hangzhou 310027, China( 1.浙江大学数学系，浙江 杭州 310027)提出了一种求解非齐次各向异性热传导方程一类反问题IHCP(inverse heat conduction problem）的无网格方法,该方法通过借助基于测地距离的Multiquadric(MQ）作为基函数得到整个时间空间区域上的一个近似特解,然后用基于测地距离的基本解方法直接在整个时间空间区域上对相应的齐次问题进行求解.用截断奇异值分解(TSVD)法求解所得病态线性方程组,用L-曲线准则确定正则化参数.用数值例子验证了该方法的有效性,并分析了数值解的精度与参数T、c的关系.https://doi.org/10.3785/j.issn.1008-9497.2009.01.006multiquadric(mq)基本解方法测地距离非齐次ihcp截断奇异值分解l-曲线准则 |
| spellingShingle | WANGJin-yu(王金玉) SUNFang-yu(孙方裕) Method of fundamental solutions based on geodesic distance for in homogeneous inverse heat conduction problems in anisotropic medium(基于测地距离的基本解方法求解非齐次各向异性IHCP问题) Zhejiang Daxue xuebao. Lixue ban multiquadric(mq) 基本解方法 测地距离 非齐次ihcp 截断奇异值分解 l-曲线准则 |
| title | Method of fundamental solutions based on geodesic distance for in homogeneous inverse heat conduction problems in anisotropic medium(基于测地距离的基本解方法求解非齐次各向异性IHCP问题) |
| title_full | Method of fundamental solutions based on geodesic distance for in homogeneous inverse heat conduction problems in anisotropic medium(基于测地距离的基本解方法求解非齐次各向异性IHCP问题) |
| title_fullStr | Method of fundamental solutions based on geodesic distance for in homogeneous inverse heat conduction problems in anisotropic medium(基于测地距离的基本解方法求解非齐次各向异性IHCP问题) |
| title_full_unstemmed | Method of fundamental solutions based on geodesic distance for in homogeneous inverse heat conduction problems in anisotropic medium(基于测地距离的基本解方法求解非齐次各向异性IHCP问题) |
| title_short | Method of fundamental solutions based on geodesic distance for in homogeneous inverse heat conduction problems in anisotropic medium(基于测地距离的基本解方法求解非齐次各向异性IHCP问题) |
| title_sort | method of fundamental solutions based on geodesic distance for in homogeneous inverse heat conduction problems in anisotropic medium 基于测地距离的基本解方法求解非齐次各向异性ihcp问题 |
| topic | multiquadric(mq) 基本解方法 测地距离 非齐次ihcp 截断奇异值分解 l-曲线准则 |
| url | https://doi.org/10.3785/j.issn.1008-9497.2009.01.006 |
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