| 抛物型方程初边值问题的变网格有限元方法 |
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| 引用本文： | 孙同军.抛物型方程初边值问题的变网格有限元方法[J].山东大学学报(理学版),1999,34(4):2. |
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| 作者姓名： | 孙同军 |
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| 作者单位： | 山东大学数学系,济南,250100 |
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| 摘 要： | 对线性抛物问题提出了一种全离散变网格计算格式,不需要对前一层值进行L2- 投影修正,通过误差分析证明了最优的L2 模和能量模误差估计-
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| 关 键 词： | 抛物型方程 变网格 有限元 |
| 修稿时间： | 1998-01-08 |
A FEM WITH MOVING GRID FOR LINEAR PARABOLIC EQUATION |
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| Sun Tongjun.A FEM WITH MOVING GRID FOR LINEAR PARABOLIC EQUATION[J].Journal of Shandong University,1999,34(4):2. |
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| Authors: | Sun Tongjun |
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| Abstract: | A full-discretization FEM with moving grid for linear parabolic equation is presented,in which the finite element solution at the last time is not projected on the next time finite element space using L 2-projection.It is proved that this method has optimal convergence error estimates in L 2-norm and energy norm under some sense. |
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| Keywords: | parabolic equation moving mesh finite element error estimate |
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