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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:混合有限元边界元配方建模的电磁扩散问题解决方案的一种新颖,分裂域迭代方案

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The hybrid finite element (FE)-boundary element (BE) formulation for electromagnetic diffusion problems provides some advantages in modeling including (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 (SDIS) 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) - 北面元件(BE)配方在建模中提供了一些优点,包括(1)没有截断误差,(2)易于模型产生,(3)易于解决涉及移动导体的问题。然而,与该制剂的所得基质失去其对称性并且与Fe方法不同。这导致迭代解决方案方案中的收敛速率显着降低。开发了一种新颖的分裂域迭代方案(SDI)以减少计算时间。新方案将域分成FE并为子域。仅解决与FE子域相关联的矩阵沿两个子域的界面进行初始猜测的电位。然后使用Be方程作为校正器以更新规定的界面电位。迭代方案与这些新校正的界面电位进行,直到解决方案在所需的规定误差公差内收敛。在本文中,对新开发的方案和性能比较的详细描述显示了一个样本轨迹问题。

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