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中文摘要：
运用时域间断Galerkin有限元法，对高频非傅立叶热波动问题进行分析。其主要特点是：取温度及温度的时间导数为基本未知量，对其分别进行3次Hermite插值和线性插值。在保证节点温度自动保持连续的基础上，温度的时间导数在离散时域存在间断。数值结果表明所提出的方法能够滤掉虚假的数值震荡，能够良好地模拟固体中的非傅立叶热波动行为。
英文摘要：
This paper deals with the numerical simulation of heat wave propagation. The present Discontinuous Galerkin （DG） finite element method is applied to the non-Fourier heat transport equation. Nodal temperature and its time-derivative are chosen as independent degree of freedom. The main distinct eharaeteristic of the proposed DG method is that cubic （Hermite＇s polynomial） and linear interpolations for both temperature and its time-derivative in the time domain. And the main advantage of the DG method is the continuity of the temperature at each discrete time instant is exactly ensured, whereas discontinuity of the temperature＇s velocity at the discrete time levels remains. Numerical results illustrate good performance of the present method in the problem of non-Fourier heat wave behavior in solid in eliminating spurious numerical oscillations and in providing more accurate solutions in the time domain.
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