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Full-wave PEEC time domain solver based on leapfrog scheme

机译:基于跳越方案的全波PEEC时域求解器

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This paper describes a full-wave transient simulation technique based on the partial element equivalent circuit (PEEC) method and a leapfrog scheme. Usually, the quasi-static PEEC method, which does not include retardation of coupling effects, constructs a dense circuit matrix due to instantaneous interaction of the mutual couplings. On the other hand, it is known that sparsity can be exploited if the retardation is taken into account so that the mutual elements affect with delay. The network realized by the PEEC method is often solved by a modified nodal analysis-based direct solver. In this work, we apply the leapfrog scheme to the time domain formulation of the retarded PEEC networks instead of the conventional direct solver. The leapfrog scheme is one of the explicit finite difference methods in the time domain and has an advantage of few computational complexities. Example simulations of asymmetric interconnects show that the leapfrog-based solver is suitable for the full-wave PEEC simulations in the time domain.
机译:本文介绍了一种基于部分元素等效电路(PEEC)方法和跳越方案的全波瞬态仿真技术。通常,由于相互耦合的瞬时相互作用,不包括耦合效应延迟的准静态PEEC方法会构建密集的电路矩阵。另一方面,已知的是,如果考虑到延迟,则可以利用稀疏性,使得相互的因素延迟地起作用。通过PEEC方法实现的网络通常由基于节点分析的改进型直接求解器来求解。在这项工作中,我们将跳越方案应用于延迟PEEC网络的时域公式,而不是常规的直接求解器。跨越方案是时域中的显式有限差分方法之一,并且具有很少的计算复杂性的优点。非对称互连的示例仿真表明,基于跳越的求解器适用于时域中的全波PEEC仿真。

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