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首页> 外文期刊>IEEE Transactions on Magnetics >A Novel Split-Domain Iteration Scheme for Solution of Electromagnetic Diffusion Problems Modeled by the Hybrid Finite-Element–Boundary-Element Formulation
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A Novel Split-Domain Iteration Scheme for Solution of Electromagnetic Diffusion Problems Modeled by the Hybrid Finite-Element–Boundary-Element Formulation

机译：混合有限元-边界元公式化建模的电磁扩散问题的新型分裂域迭代方案

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摘要

The hybrid finite-element (FE)–boundary-element (BE) formulation for electromagnetic diffusion problems provides some advantages in modeling including the following: 1) no truncation error; 2) ease of model generation; and 3) ease in solving problems involving moving conductors. However, the resulting matrix from this formulation loses its symmetry and is not banded, unlike the FE method. This results in significantly lower convergence rates in iterative solution schemes. A novel split-domain iteration scheme was developed to reduce computation times. The new scheme splits the domain into FE and BE subdomains. Only the matrix associated with the FE subdomain is solved subject to initial guessed potentials along the interface of two subdomains. The BE equation is then used as the corrector to update the prescribed interface potentials. The iteration scheme proceeds with these newly corrected interface potentials until the solution converges within the required prescribed error tolerances. In this paper, detailed descriptions of the newly developed scheme and performance comparisons are presented with a sample railgun problem.
机译：用于电磁扩散问题的混合有限元（FE）-边界元（BE）公式在建模方面具有一些优势，包括：1）无截断误差； 2）易于生成模型； 3）易于解决涉及移动导体的问题。但是，与有限元方法不同，由这种配方得到的基质失去了对称性，并且没有带状。这导致迭代解决方案中的收敛速度大大降低。开发了一种新颖的分裂域迭代方案以减少计算时间。新方案将域分为FE和BE子域。只有与FE子域相关联的矩阵才可以沿着两个子域的界面进行初始猜测电位的求解。然后，将BE方程用作校正器以更新规定的界面电势。迭代方案将使用这些新校正的界面电势进行处理，直到解收敛到所需的规定误差容限之内。在本文中，对新开发的方案和性能比较进行了详细说明，并给出了一个示例性的炮枪问题。

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