A space-time formulation for multiscale phenomena

被引：107
作者：
Hughes, TJR [1 ]
Stewart, JR [1 ]
机构：
[1] STANFORD UNIV,DIV APPL MECH,STANFORD,CA 94305
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1996年 / 74卷 / 1-2期
关键词：
multiscale phenomena; finite element method; subgrid-scale models; variational models; Green's functions; stabilized methods;
D O I：
10.1016/0377-0427(96)00025-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We develop subgrid scale models for a class of nonsymmetric, linear evolution operators by applying the variational multiscale method in space-time. The results generalize those of Hughes [14] which were confined to the steady case. The subgrid scale models are shown to be a paradigm for ''bubble'' function finite element methods and provide a theoretical and practical framework for the development of so-called stabilized methods.
引用
收藏
页码：217 / 229
页数：13
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