关于热传导方程的有限元算法
ON FINITE ELEMENT ALGORITHM OF TRANSIENT HEAT CONDUCTION
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摘要: 用有限元法分析瞬态温度场经常会得到振荡和/或超界的结果,为此曾提出消除振荡和超界的计算准则。本文提出一种振荡数值解的光滑技术,还研究了高阶时域离散格式能否消除振荡的问题。Abstract: It is quite notorious that the finite element solutions of transient heat conduction equation are very likely oscillating and/or over-bounding ones In order to eliminate the oscillation and/or over-bounding several criteria have been proposed by the author. In this paper a technique for smoothing the oscillation in the numerical results is presented. A high-order discretization scheme in time dimension is also discussed.