Goal-oriented error estimation and adaptive mesh refinement in dynamic coupled thermoelasticity

Ehsan Rabizadeh, Amir Saboor Bagherzadeh, Timon Rabczuk

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We present an adaptive method for dynamic coupled thermoelasticity problems based on goal-oriented error estimation. We use dimensionless variables in the finite element formulation and for the time integration we employ the acceleration-based Newmark method. Different recovery methods such as superconvergent patch recovery (SPR), L2-projection patch recovery (L2-PR) and weighted superconvergent patch recovery (WSPR) are used to estimate the error in the quantity of interest (QoI). By using adaptive refinement in space, the error in the quantity of interest is minimized. Therefore, the discretization is refined such that the error is equally distributed on the refined mesh. We demonstrate the efficiency of this method by numerous numerical examples.

Original languageEnglish
Pages (from-to)187-211
Number of pages25
JournalComputers and Structures
Volume173
DOIs
Publication statusPublished - 2016 Sep 1
Externally publishedYes

Fingerprint

Thermoelasticity
Adaptive Mesh Refinement
Error Estimation
Error analysis
Recovery
Patch
Newmark Method
Adaptive Refinement
Adaptive Method
Time Integration
Dimensionless
Discretization
Mesh
Projection
Finite Element
Numerical Examples
Formulation
Estimate
Demonstrate

Keywords

  • Adaptive mesh refinement
  • Classical coupled thermoelasticity
  • Dynamic thermoelastic problem
  • Error in the quantity of interest
  • Finite element method
  • Goal-oriented error estimation

ASJC Scopus subject areas

  • Computer Science Applications
  • Civil and Structural Engineering
  • Mechanical Engineering
  • Modelling and Simulation
  • Materials Science(all)

Cite this

Goal-oriented error estimation and adaptive mesh refinement in dynamic coupled thermoelasticity. / Rabizadeh, Ehsan; Saboor Bagherzadeh, Amir; Rabczuk, Timon.

In: Computers and Structures, Vol. 173, 01.09.2016, p. 187-211.

Research output: Contribution to journalArticle

Rabizadeh, Ehsan ; Saboor Bagherzadeh, Amir ; Rabczuk, Timon. / Goal-oriented error estimation and adaptive mesh refinement in dynamic coupled thermoelasticity. In: Computers and Structures. 2016 ; Vol. 173. pp. 187-211.
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