Strict upper and lower bounds for quantities of interest in static response sensitivity analysis

被引：3
|
作者：
Guo, Mengwu [1 ]
Zhong, Hongzhi [1 ]
机构：
[1] Tsinghua Univ, Dept Civil Engn, Beijing 100084, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2017年 / 49卷
基金：
中国国家自然科学基金;
关键词：
Strict bounds; Goal-oriented error estimation; Constitutive relation error; Sensitivity derivative; Perturbation method; ORIENTED ERROR ESTIMATION; REDUCED BASIS APPROXIMATION; CONSTITUTIVE RELATION ERROR; FINITE-ELEMENT BOUNDS; EXACT WEAK SOLUTIONS; LINEAR FUNCTIONALS; ELASTIC-FOUNDATION; COMPUTING BOUNDS; OUTPUTS; ESTIMATORS;
D O I：
10.1016/j.apm.2017.04.029
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, a goal-oriented error estimation technique for static response sensitivity analysis is proposed based on the constitutive relation error (CRE) estimation for finite element analysis (FEA). Strict upper and lower bounds of various quantities of interest (QoI) that are associated with the response sensitivity derivative fields are acquired. Numerical results are presented to assess the strict bounding properties of the proposed technique. (C) 2017 Elsevier Inc. All rights reserved.
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页码：17 / 34
页数：18
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