热传导方程的间断Galerkin数值解法

Numerical Resolution of Discontinuous Galerkin Methods for Time Dependent Heat Equations

本文对具有周期边界的热传导方程采用间断Galerkin(DG)方法给出数值求解方法,并利用傅里叶分析,对数值解进行L∞-误差估计,以一次分段多项式为例,得到半离散格式的误差估计.

In this paper, we provide a numerical resolution of discontinuous Galerkin method for the time dependent linear heat equations with periodic boundary conditions, and by using the Fourier analysis, carry out an error analysis for the numerical method in the piecewice linear case.