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Stability-Improved Spectral-Element Time-Domain Method Based on Newmark- \beta
Journal article

Stability-Improved Spectral-Element Time-Domain Method Based on Newmark- \beta

YiJun Sheng, XiaoDong Ye, Gui Wang and TianYu Lu
IEEE microwave and wireless components letters, Vol.29(4), pp.243-245
04/2019
DOI: https://doi.org/10.1109/LMWC.2019.2900842

Abstract

Eigenvalues and eigenfunctions Explicit solution Newmark-<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">β scheme Numerical stability Sparse matrices spectral-element time-domain (SETD) method Stability analysis Symmetric matrices time stability condition Time-domain analysis Transmission line matrix methods
A stability-improved spectral-element time-domain (SETD) method based on Newmark- \beta scheme is proposed. The algorithm preserves the explicit solution property, and the time step is doubled compared with that of the traditional SETD method. In addition, the novel algorithm has a significant effect on the suppression of late-time instability. Some numerical results demonstrate the ability and accuracy of this algorithm.

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