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

E. Rabizadeh, A. Saboor Bagherzadeh, Timon Rabczuk

Research output: Contribution to journalArticle

7 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 languageEnglish
Pages (from-to)27-44
Number of pages18
JournalComputational Materials Science
Volume102
DOIs
Publication statusPublished - 2015
Externally publishedYes

Fingerprint

Error Estimation
Error analysis
Recovery
Finite Element
Patch
formulations
recovery
Formulation
Adaptive Refinement
Error Estimator
Analytical Solution
estimators
Discretization
Mesh
Projection
mesh
Minimise
Numerical Examples
projection

Keywords

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

ASJC Scopus subject areas

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

Cite this

Adaptive thermo-mechanical finite element formulation based on goal-oriented error estimation. / Rabizadeh, E.; Saboor Bagherzadeh, A.; Rabczuk, Timon.

In: Computational Materials Science, Vol. 102, 2015, p. 27-44.

Research output: Contribution to journalArticle

Rabizadeh, E. ; Saboor Bagherzadeh, A. ; Rabczuk, Timon. / Adaptive thermo-mechanical finite element formulation based on goal-oriented error estimation. In: Computational Materials Science. 2015 ; Vol. 102. pp. 27-44.
@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 Timon Rabczuk",
year = "2015",
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, Timon

PY - 2015

Y1 - 2015

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

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

U2 - 10.1016/j.commatsci.2015.01.044

DO - 10.1016/j.commatsci.2015.01.044

M3 - Article

VL - 102

SP - 27

EP - 44

JO - Computational Materials Science

JF - Computational Materials Science

SN - 0927-0256

ER -