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。
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.
出处
《计算数学》
CSCD
北大核心
1990年第3期318-336,共19页
Mathematica Numerica Sinica