A-POSTERIORI ERROR ANALYSIS AND ADAPTIVE PROCESSES IN THE FINITE-ELEMENT METHOD .1. ERROR ANALYSIS
A-POSTERIORI ERROR ANALYSIS AND ADAPTIVE PROCESSES IN THE FINITE-ELEMENT METHOD .1. ERROR ANALYSIS
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DOI：
10.1002/nme.1620191103
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发表时间：
1983-01-01
影响因子：
2.9
通讯作者：
BABUSKA, I
中科院分区：
文献类型：
--
作者：
KELLY, DW;GAGO, JPDR;BABUSKA, I
本文分两部分，分别讨论有限元计算中的误差分析和自适应处理。第一部分包含推导二阶问题误差估计的基本理论和方法。本文的第二部分涉及自适应精化的策略，并集中于p-收敛方法。结果表明，在实际问题中，使用这种程序达到一个非常高的收敛速度。应用现实的应力分析和潜在的问题。
This is a paper presented in two parts dealing respectively with error analysis and adaptive processes applied to finite element calculations. Part I contains the basic theory and methods of deriving error estimates for second‐order problems. Part II of the paper deals with the strategy for adaptive refinement and concentrates on thep‐convergent methods. It is shown that an extremely high rate of convergence is reached in practical problems using such procedures. Applications to realistic stress analysis and potential problems are presented.