In this paper, the author proves that, for a non-linear heat conduction equation, there is no discontinuous solution.
文中证明了非线性热传导方程只能有连续解，不可能存在间断解。
An artificial viscous term is introduced in the equation to treat the supercritical flow with embeded shock waves and to eliminate the discontinuous solution.
为了处理超临界流和有冲波情况，我们在方程中引入人工粘性项，以消除解中可能出现的不连续性。
The accomplishing of numerical flux conservation between initial grid and embedded grids highly enhances its reliability and efficiency in capturing discontinuous solution.
原始网格与被嵌入网格之间数值通量守恒的实现增强了该方法在捕捉间断时的有效性和可靠性。
In this paper, we introduce the numerical flux of the LDG method (local discontinuous Galerkin method) and prove the existence and uniqueness of the LDG numerical solution.
本文采用局部间断有限元方法，给出其数值通量形式并证明了其数值解的存在唯一性。
In this paper, we introduce the numerical flux of the LDG method (local discontinuous Galerkin method) and prove the existence and uniqueness of the LDG numerical solution.
本文采用局部间断有限元方法，给出其数值通量形式并证明了其数值解的存在唯一性。
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