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

Guo, Mengwu LU and Zhong, Hongzhi (2017) In Applied Mathematical Modelling 49. p.17-34
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.

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author
and
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Constitutive relation error, Goal-oriented error estimation, Perturbation method, Sensitivity derivative, Strict bounds
in
Applied Mathematical Modelling
volume
49
pages
18 pages
publisher
Elsevier
external identifiers
  • scopus:85020650321
ISSN
0307-904X
DOI
10.1016/j.apm.2017.04.029
language
English
LU publication?
no
additional info
Publisher Copyright: © 2017 Elsevier Inc.
id
ec92a37f-6ecb-457e-8743-d4ef1ccbf31b
date added to LUP
2024-03-19 12:32:32
date last changed
2025-04-04 14:28:09
@article{ec92a37f-6ecb-457e-8743-d4ef1ccbf31b,
  abstract     = {{<p>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.</p>}},
  author       = {{Guo, Mengwu and Zhong, Hongzhi}},
  issn         = {{0307-904X}},
  keywords     = {{Constitutive relation error; Goal-oriented error estimation; Perturbation method; Sensitivity derivative; Strict bounds}},
  language     = {{eng}},
  pages        = {{17--34}},
  publisher    = {{Elsevier}},
  series       = {{Applied Mathematical Modelling}},
  title        = {{Strict upper and lower bounds for quantities of interest in static response sensitivity analysis}},
  url          = {{http://dx.doi.org/10.1016/j.apm.2017.04.029}},
  doi          = {{10.1016/j.apm.2017.04.029}},
  volume       = {{49}},
  year         = {{2017}},
}