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Conformal mapping for the finite-element analysis of axisymmetric fields

机译:轴对称场有限元分析的共形映射

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摘要

The finite element method can be used for an approximate solution of axisymmetric field problems by truncating the unbounded domain or by applying various techniques of coupling finite region of interest with the remaining for region, which is properly modeled. A simple numerical technique for solving axisymmetric field problems is presented. In this paper, axisymmetric regions are mapped on to bounded domains by using the appropriate analytic functions, finite element analysis is then implemented in the transformed domain to obtain the field problem solutions. The proposed method is simple, extremely efficient and economical, particularly for the solution of unbounded region axisymmetric field problems.
机译:可以通过截断无界域或通过应用各种技术将有限的感兴趣区域与剩余的区域耦合(通过适当建模),将有限元方法用于轴对称场问题的近似解。提出了一种解决轴对称场问题的简单数值技术。在本文中,通过使用适当的解析函数将轴对称区域映射到有界区域上,然后在变换后的区域中进行有限元分析以获得现场问题解决方案。所提出的方法简单,高效且经济,特别是用于解决无界区域轴对称场问题。

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