Error estimation with guaranteed accuracy of finite element method in nonconvex polygonal domains
Error estimation with guaranteed accuracy of finite element method in nonconvex polygonal domains
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DOI：
10.1016/s0377-0427(03)00569-7
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发表时间：
2003-10
影响因子：
2.4
通讯作者：
N. Yamamoto;Keisuke Hayakawa
中科院分区：
文献类型：
--
作者：
N. Yamamoto;Keisuke Hayakawa
提出了一种新的非凸多边形区域有限元法误差估计方法。它给出了数学上严格的上限的误差使用保证精度的计算。数值例子和它们的订单有关的网格尺寸进行了比较与理论订单。
A new method to estimate errors of the finite element method (FEM) for nonconvex polygonal domain is proposed. It gives mathematically rigorous upper bounds for the errors using calculations with guaranteed accuracy. Numerical examples are shown and their orders concerning mesh sizes are compared with theoretical orders.