规范(哲学)
有限元法
数学
多边形网格
理论(学习稳定性)
伽辽金法
应用数学
趋同(经济学)
间断伽辽金法
一致收敛
缩放比例
数学分析
几何学
计算机科学
结构工程
经济增长
机器学习
工程类
经济
计算机网络
政治学
法学
带宽(计算)
作者
Hans‐Görg Roos,Martin Schopf
标识
DOI:10.1002/zamm.201300226
摘要
Error estimates of finite element methods for reaction-diffusion problems are often realized in the related energy norm. In the singularly perturbed case, however, this norm is not adequate. A different scaling of the H1 seminorm leads to a balanced norm which reflects the layer behavior correctly. We prove error estimates in balanced norms and investigate also stability questions. Especially, we propose a new C0 interior penalty method with improved stability properties in comparison with the Galerkin FEM.
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