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