Purpose

The purpose of this paper is to deal with the correction of the inaccuracies near edges and corners arising from thin shell models by means of an iterative finite element subproblem method. Classical thin shell approximations of conducting and/or magnetic regions replace the thin regions with impedance-type transmission conditions across surfaces, which introduce errors in the computation of the field distribution and Joule losses near edges and corners.

Design/methodology/approach

In the proposed approach local corrections around edges and corners are coupled to the thin shell models in an iterative procedure (each subproblem being influenced by the others), allowing to combine the efficiency of the thin shell approach with the accuracy of the full modelling of edge and corner effects.

Findings

The method is based on a thin shell solution in a complete problem, where conductive thin regions have been extracted and replaced by surfaces but strongly neglect errors on computation of the field distribution and Joule losses near edges and corners.

Research limitations/implications

This model is only limited to thin shell models by means of an iterative finite element subproblem method.

Originality/value

The developed method is considered to couple subproblems in two-way coupling correction, where each solution is influenced by all the others. This means that an iterative procedure between the subproblems must be required to obtain an accurate (convergence) solution that defines as a series of corrections.

中文翻译：

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迭代问题的薄壳有限元电磁模型双向耦合

目的

本文的目的是通过迭代有限元子问题方法来解决薄壳模型在边缘和拐角附近产生的误差。导电和/或磁性区域的经典薄壳近似值将薄区域替换为跨表面的阻抗类型的传输条件，这在场分布的计算中引入了误差，并且在边缘和拐角附近引入了焦耳损耗。

设计/方法/方法

在提出的方法中，以迭代过程将边缘和拐角周围的局部校正耦合到薄壳模型（每个子问题都受到其他问题的影响），从而允许将薄壳方法的效率与边缘的完整建模的精度相结合和角落效应。

发现

该方法基于一个完整问题的薄壳解决方案，该问题已提取出导电薄区域并替换为表面，但在计算电场分布和边缘和拐角附近的焦耳损耗时却严重忽略了误差。

研究局限/意义

通过迭代有限元子问题方法，该模型仅限于薄壳模型。

创意/价值

所开发的方法被认为是在双向耦合校正中耦合了子问题，其中每个解决方案都受到其他所有解决方案的影响。这意味着必须要求子问题之间的迭代过程才能获得定义为一系列校正的准确（收敛）解。