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Domain Decomposition and Its Applications in Time-Stepped Nonlinear Finite Element Analysis

机译:域分解及其在时间阶跃非线性有限元分析中的应用

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This paper presents a domain decomposition method (DDM) for time-stepped nonlinear finite element analysis (FEA) and its applications in electrical machines. This method, different from the classical Schwarz method, has no overlapping region between two sub-domains and, thus, does not require an iteration process to reach the accurate solution for linear problems. Due to the absence of the overlapping region, each sub-domain can belong to different physical domains, as an example, one being circuit sub-domain while others being FEA sub-domains. This feature not only makes it possible to support parallel computing, but also simplifies the formulation and implementation. Since the proposed DDM itself does not involve iteration, this method has no side effects on Newton-Raphson iteration in the case of nonlinear problems. The proposed DDM has been applied to transient FEA-circuit coupled problems and motion problems with the stationary and the rotating parts as separate sub-domains.
机译:本文介绍了用于时间阶梯式非线性有限元分析(FEA)的域分解方法(DDM)及其在电气机中的应用。这种方法与经典施瓦茨方法不同,在两个子域之间没有重叠区域,因此,不需要迭代过程来达到线性问题的准确解决方案。由于不存在重叠区域,每个子域可以属于不同的物理域,作为示例,一个是电路子域,而其他是子域。此功能不仅可以支持并行计算,而且还可以简化配方和实现。由于所提出的DDM本身不涉及迭代,因此在非线性问题的情况下,该方法对Newton-Raphson迭代没有副作用。所提出的DDM已经应用于瞬态FEA电路耦合问题和静止和旋转部件的运动问题,作为单独的子畴。

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