浅析有限单元法和边界单元法的对比
iscuss Of contrast between Finite Elements method and Boundary Elements method
有限单元法和边界元法是解决地球物理正演的最常规的方法。本文以水平地形的磁场向上延拓为例,利用水平地面上的磁场向上延拓的解析公式求出空间延拓值,得到理论值。分别用有限单元法、边界单元法两种数值模拟方法计算同样条件下的磁场向上延拓值,用相同的网格剖分,边界条件,比较了有限单元法和边界单元法的精度。分别从两种数值模拟方法的算法原理,计算精度,计算效率,以及应用条件等方面进行了对比分析。
Finite Elements method and Boundary Elements method are the most conventional methods to resolve the issue of Geophysical forward. In the paper, we derive the theoretical value using upward extension of magnetic field in the level topography as an example and its analytic formula. We calculate upward extension of the magnetic field value under the same conditions by using Finite Elements method and Boundary Elements method respectively, and using the same mesh & boundary conditions to compare the accuracy of finite elements method & the boundary elements method. Also, the two methods of numerical simulation algorithm, calculation accuracy, computational efficiency, as well as the application of conditions were compared and analyzed Respectively.
何畏、李建华、马荣、李磊、席江波
地球物理学
有限单元法边界单元法向上延拓
Finite Elements methodBoundary Elements methodUpward extension
何畏,李建华,马荣,李磊,席江波.浅析有限单元法和边界单元法的对比[EB/OL].(2009-02-12)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/200902-605.点此复制
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