Adaptive thermo-mechanical finite element formulation based on goal-oriented error estimation

E. Rabizadeh; A. Saboor Bagherzadeh; T. Rabczuk

doi:10.1016/j.commatsci.2015.01.044

Adaptive thermo-mechanical finite element formulation based on goal-oriented error estimation

E. Rabizadeh, A. Saboor Bagherzadeh, T. Rabczuk

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

10 Citations (Scopus)

Abstract

In this paper, a rh-adaptive thermo-mechanical formulation based on goal-oriented error estimation is proposed. The goal-oriented error estimation relies on different recovery-based error estimators, i.e. the superconvergent patch recovery (SPR), L₂-projection patch recovery (L₂-PR) and weighted superconvergent patch recovery (WSPR). A new adaptive refinement strategy (ARS) is presented that minimizes the error in a quantity of interest and refines the discretization such that the error is equally distributed on the refined mesh. The method is validated by numerous numerical examples where an analytical solution or reference solution is available.

Original language	English
Pages (from-to)	27-44
Number of pages	18
Journal	Computational Materials Science
Volume	102
DOIs	https://doi.org/10.1016/j.commatsci.2015.01.044
Publication status	Published - 2015 May
Externally published	Yes

Keywords

Adaptive refinement
Goal-oriented
L-PR
Mesh adaptivity
Quantity of interest
Recovery error estimation
SPR
Thermo-mechanical
Thermoelasticity
WSPR

ASJC Scopus subject areas

Computer Science(all)
Chemistry(all)
Materials Science(all)
Mechanics of Materials
Physics and Astronomy(all)
Computational Mathematics

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10.1016/j.commatsci.2015.01.044

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@article{081dffaa7bb04cb5b1e3ce009e4e836a,

title = "Adaptive thermo-mechanical finite element formulation based on goal-oriented error estimation",

abstract = "In this paper, a rh-adaptive thermo-mechanical formulation based on goal-oriented error estimation is proposed. The goal-oriented error estimation relies on different recovery-based error estimators, i.e. the superconvergent patch recovery (SPR), L2-projection patch recovery (L2-PR) and weighted superconvergent patch recovery (WSPR). A new adaptive refinement strategy (ARS) is presented that minimizes the error in a quantity of interest and refines the discretization such that the error is equally distributed on the refined mesh. The method is validated by numerous numerical examples where an analytical solution or reference solution is available.",

keywords = "Adaptive refinement, Goal-oriented, L-PR, Mesh adaptivity, Quantity of interest, Recovery error estimation, SPR, Thermo-mechanical, Thermoelasticity, WSPR",

author = "E. Rabizadeh and {Saboor Bagherzadeh}, A. and T. Rabczuk",

note = "Funding Information: The authors want to express their sincere thanks to the Dr. Cosmin Anitescu for his valuable comments and suggestions on final version of this paper. The first author would like gratefully acknowledge for the financial support of this work which was provided by the Deutscher Akademischer Austausch dienst (DAAD). Publisher Copyright: {\textcopyright} 2015 Elsevier B.V. All rights reserved.",

year = "2015",

month = may,

doi = "10.1016/j.commatsci.2015.01.044",

language = "English",

volume = "102",

pages = "27--44",

journal = "Computational Materials Science",

issn = "0927-0256",

publisher = "Elsevier",

}

TY - JOUR

T1 - Adaptive thermo-mechanical finite element formulation based on goal-oriented error estimation

AU - Rabizadeh, E.

AU - Saboor Bagherzadeh, A.

AU - Rabczuk, T.

N1 - Funding Information: The authors want to express their sincere thanks to the Dr. Cosmin Anitescu for his valuable comments and suggestions on final version of this paper. The first author would like gratefully acknowledge for the financial support of this work which was provided by the Deutscher Akademischer Austausch dienst (DAAD). Publisher Copyright: © 2015 Elsevier B.V. All rights reserved.

PY - 2015/5

Y1 - 2015/5

N2 - In this paper, a rh-adaptive thermo-mechanical formulation based on goal-oriented error estimation is proposed. The goal-oriented error estimation relies on different recovery-based error estimators, i.e. the superconvergent patch recovery (SPR), L2-projection patch recovery (L2-PR) and weighted superconvergent patch recovery (WSPR). A new adaptive refinement strategy (ARS) is presented that minimizes the error in a quantity of interest and refines the discretization such that the error is equally distributed on the refined mesh. The method is validated by numerous numerical examples where an analytical solution or reference solution is available.

AB - In this paper, a rh-adaptive thermo-mechanical formulation based on goal-oriented error estimation is proposed. The goal-oriented error estimation relies on different recovery-based error estimators, i.e. the superconvergent patch recovery (SPR), L2-projection patch recovery (L2-PR) and weighted superconvergent patch recovery (WSPR). A new adaptive refinement strategy (ARS) is presented that minimizes the error in a quantity of interest and refines the discretization such that the error is equally distributed on the refined mesh. The method is validated by numerous numerical examples where an analytical solution or reference solution is available.

KW - Adaptive refinement

KW - Goal-oriented

KW - L-PR

KW - Mesh adaptivity

KW - Quantity of interest

KW - Recovery error estimation

KW - SPR

KW - Thermo-mechanical

KW - Thermoelasticity

KW - WSPR

UR - http://www.scopus.com/inward/record.url?scp=84923816889&partnerID=8YFLogxK

U2 - 10.1016/j.commatsci.2015.01.044

DO - 10.1016/j.commatsci.2015.01.044

M3 - Article

AN - SCOPUS:84923816889

SN - 0927-0256

VL - 102

SP - 27

EP - 44

JO - Computational Materials Science

JF - Computational Materials Science

ER -

Adaptive thermo-mechanical finite element formulation based on goal-oriented error estimation

Abstract

Keywords

ASJC Scopus subject areas

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