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

Mengwu Guo; Hongzhi Zhong

doi:10.1016/j.apm.2017.04.029

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

Mengwu Guo, Hongzhi Zhong

Tsinghua University

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	17-34
Number of pages	18
Journal	Applied Mathematical Modelling
Volume	49
DOIs	https://doi.org/10.1016/j.apm.2017.04.029
Publication status	Published - 2017 Sept
Externally published	Yes

Subject classification (UKÄ)

Probability Theory and Statistics

Free keywords

Constitutive relation error
Goal-oriented error estimation
Perturbation method
Sensitivity derivative
Strict bounds

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10.1016/j.apm.2017.04.029

Cite this

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title = "Strict upper and lower bounds for quantities of interest in static response sensitivity analysis",

abstract = "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.",

keywords = "Constitutive relation error, Goal-oriented error estimation, Perturbation method, Sensitivity derivative, Strict bounds",

author = "Mengwu Guo and Hongzhi Zhong",

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year = "2017",

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AU - Guo, Mengwu

AU - Zhong, Hongzhi

PY - 2017/9

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AB - 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.

KW - Constitutive relation error

KW - Goal-oriented error estimation

KW - Perturbation method

KW - Sensitivity derivative

KW - Strict bounds

U2 - 10.1016/j.apm.2017.04.029

DO - 10.1016/j.apm.2017.04.029

M3 - Article

AN - SCOPUS:85020650321

SN - 0307-904X

VL - 49

SP - 17

EP - 34

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

ER -

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

Abstract

Subject classification (UKÄ)

Free keywords

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