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

Ehsan Rabizadeh, Amir Saboor Bagherzadeh, Timon Rabczuk

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


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
Publication statusPublished - 2016 Sept 1

Bibliographical note

Funding Information:
The first author would like gratefully acknowledge for the financial support of this work which was provided by the Deutscher Akademischer Austauschdienst (DAAD).

Publisher Copyright:
© 2016 Elsevier Ltd


  • 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

  • Civil and Structural Engineering
  • Modelling and Simulation
  • General Materials Science
  • Mechanical Engineering
  • Computer Science Applications


Dive into the research topics of 'Goal-oriented error estimation and adaptive mesh refinement in dynamic coupled thermoelasticity'. Together they form a unique fingerprint.

Cite this