THE SPACE-TIME FINITE ELEMENT METHOD FOR PARABOLIC PROBLEMS

被引：0
|
作者：
李宏
刘儒勋
机构：
来源：
Applied Mathematics and Mechanics(English Edition) | 2001年 / 06期
关键词：
semi-linear parabolic equations; space-time finite element method; existence and uniquess; error estimate;
D O I：
暂无
中图分类号：
O241.82 [偏微分方程的数值解法];
学科分类号：
摘要：
Adaptive space-time finite element method, continuous in space but discontinuous in time for semi-linear parabolic problems is discussed. The approach is based on a combination of finite element and finite difference techniques. The existence and uniqueness of the weak solution are proved without any assumptions on choice of the space-time meshes. Basic error estimates in L∞(L2) norm, that is maximum-norm in time, L2 -norm in space are obtained. The numerical results are given in the last part and the analysis between theoretic and experimental results are obtained.
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页码：687 / 700
页数：14
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