| 具有最优阶精度的全离散变网格有限元 |
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| 引用本文： | 梁国平,陈志明.具有最优阶精度的全离散变网格有限元[J].计算数学,1990,12(3):318-337. |
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| 作者姓名： | 梁国平 陈志明 |
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| 作者单位： | 中国科学院数学研究所
(梁国平)，中国科学院数学研究所(陈志明) |
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| 摘 要： | §1.引言 解抛物型方程的通常做法是将时间方向采用差分近似,而空间方向采用有限元逼近.如果区域长柱形区域,现有的结果和方法比较完整.但是在某些情况下,例如解活动边界
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| 关 键 词： | 有限元 全离散格式 变网格 精度 |
A FULL-DISCRETIZATION MOVING FEM WITH OPTIMAL CONVERGENCE RATE |
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| Institution: | Liang Guo-ping;Chen Zhi-ming institute of Mathematics. Academia Sinica |
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| Abstract: | By developping the idea of coordinate transformation of 2] this paper presents a fulldiscretization moving finite element scheme, which can apply to parabolic equations in any di-mension with variable domain. Under certain continuity assumptions about moving grid the op-timal convergence rate is preserved. A sufficient condition is obtained for preserving optimalconvergence rate of space-time finite element method proposed by Bonnerot and Jamet 3] andthus the result of paper 4] is just a particular case of this paper. |
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