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^*

^*Corresponding author for this work

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

2 Citations (Scopus)

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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
Journal	Applied mathematical modelling
Volume	49
DOIs	https://doi.org/10.1016/j.apm.2017.04.029
Publication status	Published - 2017
Externally published	Yes

Keywords

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

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10.1016/j.apm.2017.04.029

Guo2017strictAccepted author version, 1.05 MB

Cite this

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

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AU - Guo, Mengwu

AU - Zhong, Hongzhi

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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 - Strict bounds

KW - Goal-oriented error estimation

KW - Constitutive relation error

KW - Sensitivity derivative

KW - Perturbation method

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DO - 10.1016/j.apm.2017.04.029

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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

Keywords

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