数学
规范(哲学)
对偶(语法数字)
趋同(经济学)
有限元法
变量(数学)
应用数学
最小二乘函数近似
数学分析
统计
艺术
物理
文学类
估计员
政治学
法学
经济
热力学
经济增长
标识
DOI:10.1016/j.camwa.2024.03.002
摘要
We consider adaptive least-squares finite element methods. First, we develop a guaranteed upper bound for the dual error in the L2 norm, and this can be used as a stopping criterion for the adaptive procedures. Secondly, based on the a posteriori error estimates for the dual variable, we develop an error indicator that identifies the local area to refine, and establish the convergence of the adaptive procedures based on the Dörfler's marking strategy. Our convergence analysis is valid for the entire range of the bulk parameter 0<Θ≤1 and it shows the effect of bulk parameter and reduction factor of elements on the convergence rate. Confirming numerical experiments are provided.
科研通智能强力驱动
Strongly Powered by AbleSci AI