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New Alternating Direction Implicit Finite-Difference Time: Domain Method with Higher Efficiency

机译:新的交替方向隐式有限差分时间:高效域方法

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摘要

This letter presents a new unconditionally stable three-dimensional alternating direction implicit finite-difference time-domain (ADI-FDTD) method. The implicit differences of the method along different directions are irrelevant to each other, which results in a new updating equation with much simpler and more concise right-hand sides. This leads to substantial reduction in the number of arithmetic operations required for their computations. The unconditional stability of the proposed method is presented analytically, and the numerical performance of the method over the conventional ADI-FDTD method is demonstrated through numerical example.
机译:这封信提出了一种新的无条件稳定的三维交替方向隐式有限差分时域(ADI-FDTD)方法。该方法沿不同方向的隐式差异是彼此无关的,这导致了一个新的更新方程式,其右手侧更简单,更简洁。这导致其计算所需的算术运算数量大大减少。分析性地提出了该方法的无条件稳定性,并通过数值算例证明了该方法相对于常规ADI-FDTD方法的数值性能。

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