Shape identification in Stokes flow with distributed shape gradients

Jiajie Li; Shengfeng Zhu

doi:10.1016/j.aml.2019.04.002

Shape identification in Stokes flow with distributed shape gradients

Jiajie Li
, Shengfeng Zhu^*

^*Corresponding author for this work

School of Mathematical Sciences

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

13 Scopus citations

Abstract

The distributed shape gradient is shown recently to be more accurate and converges faster than the boundary type shape gradient, when finite element methods are used for discretizations. We propose a new algorithm for shape identification in stokes flow based on the distributed shape gradient. Numerical comparisons show that the proposed algorithm is more effective and efficient than the popular boundary type algorithm.

Original language	English
Pages (from-to)	165-171
Number of pages	7
Journal	Applied Mathematics Letters
Volume	95
DOIs	https://doi.org/10.1016/j.aml.2019.04.002
State	Published - Sep 2019

Keywords

Distributed shape gradient
Mixed finite element
Shape optimization
Stokes equation

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10.1016/j.aml.2019.04.002

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title = "Shape identification in Stokes flow with distributed shape gradients",

abstract = "The distributed shape gradient is shown recently to be more accurate and converges faster than the boundary type shape gradient, when finite element methods are used for discretizations. We propose a new algorithm for shape identification in stokes flow based on the distributed shape gradient. Numerical comparisons show that the proposed algorithm is more effective and efficient than the popular boundary type algorithm.",

keywords = "Distributed shape gradient, Mixed finite element, Shape optimization, Stokes equation",

author = "Jiajie Li and Shengfeng Zhu",

note = "Publisher Copyright: {\textcopyright} 2019",

year = "2019",

month = sep,

doi = "10.1016/j.aml.2019.04.002",

language = "英语",

volume = "95",

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T1 - Shape identification in Stokes flow with distributed shape gradients

AU - Li, Jiajie

AU - Zhu, Shengfeng

PY - 2019/9

Y1 - 2019/9

N2 - The distributed shape gradient is shown recently to be more accurate and converges faster than the boundary type shape gradient, when finite element methods are used for discretizations. We propose a new algorithm for shape identification in stokes flow based on the distributed shape gradient. Numerical comparisons show that the proposed algorithm is more effective and efficient than the popular boundary type algorithm.

AB - The distributed shape gradient is shown recently to be more accurate and converges faster than the boundary type shape gradient, when finite element methods are used for discretizations. We propose a new algorithm for shape identification in stokes flow based on the distributed shape gradient. Numerical comparisons show that the proposed algorithm is more effective and efficient than the popular boundary type algorithm.

KW - Distributed shape gradient

KW - Mixed finite element

KW - Shape optimization

KW - Stokes equation

UR - https://www.scopus.com/pages/publications/85064323676

U2 - 10.1016/j.aml.2019.04.002

DO - 10.1016/j.aml.2019.04.002

M3 - 文章

AN - SCOPUS:85064323676

SN - 0893-9659

VL - 95

SP - 165

EP - 171

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

Shape identification in Stokes flow with distributed shape gradients

Abstract

Keywords

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