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Using Reduced Support to Enhance Parallel Strong Scalability in 3D Finite-Element Magnetic Vector Potential Formulations with Circuit Equations

机译:在电路方程的3D有限元磁性矢量电势公式中使用减少的支持来增强并行的强可伸缩性

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摘要

Quasi-static electromagnetic problems involving, e.g., inductors, are often solved numerically using the finite-element method with magnetic vector and electric scalar potentials. Coupling the inductors to external circuits may however, lead, to large matrix equations that could become bottlenecks in parallel computation systems, particularly for strong scaling when more processors are introduced to scale down the total computation time. It is argued and shown by numerical simulations that the use of reduced support in the finite-element model improves the strong scalability of multiprocessor simulations due to the reduced communication between the global constraint owner processes and the finite-element equation owner processes.
机译:涉及例如电感器的准静态电磁问题通常使用具有磁矢量和标量电势的有限元方法在数值上解决。但是,将电感器耦合到外部电路可能会导致大型矩阵方程式,这可能成为并行计算系统的瓶颈,尤其是在引入更多处理器以缩减总计算时间的情况下,要实现强大的缩放比例,尤其如此。数值模拟论证并表明,由于全局约束拥有者过程与有限元方程所有者过程之间的通信减少,有限元模型中减少支持的使用提高了多处理器模拟的强大可伸缩性。

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