长江科学院院报2017，Vol.34Issue(12)：147-154,8.DOI:10.11988/ckyyb.20170128
独立覆盖误差分析的子模型法
Submodel Method for Error Analysis in Numerical Manifold Method Based on Independent Covers
摘要
Abstract
In previous research of adaptive analysis using Numerical Manifold Method based on independent covers,the internal error in an independent cover cannot be effectively controlled.In view of this,a submodel method for error analysis of independent covers is presented,in which,by means of increasing the cover function order in an individual independent cover,a new error estimator for point-by-point error is obtained by calculating the differences of the results between high-order and low-order cover functions.The procedures of the submodel method are introduced in detail,and a case study of a gravity dam shows that the method could effectively control the internal error of independent covers,laying foundation for point-by-point error control in the future.Finally some preliminary theoretical analysis and discussions are given for the convergence principle and the error-control method of Numerical Manifold Method based on independent covers.关键词
数值流形方法/独立覆盖/误差分析/子模型法/自适应分析Key words
Numerical Manifold Method(NMM)/independent covers/error analysis/submodel method/adaptive analysis分类
通用工业技术引用本文复制引用
苏海东,袁笑晨,龚亚琦..独立覆盖误差分析的子模型法[J].长江科学院院报,2017,34(12):147-154,8.基金项目
国家自然科学基金项目(51409012) （51409012）
中央级公益性科研院所基本科研业务费项目(CKSF2016266/CL) （CKSF2016266/CL）
