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Space‐time finite elements and an adaptive strategy for the coupled thermoelasticity problem
Author(s) -
Larsson F.,
Hansbo P.,
Runesson K.
Publication year - 2002
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.563
Subject(s) - a priori and a posteriori , finite element method , dual (grammatical number) , representation (politics) , mathematics , mathematical optimization , linear elasticity , space time , time domain , spacetime , elasticity (physics) , space (punctuation) , computer science , engineering , structural engineering , physics , art , philosophy , literature , epistemology , quantum mechanics , chemical engineering , politics , political science , law , computer vision , thermodynamics , operating system
A space–time finite element method for the linear thermo‐elasticity problem is outlined. By establishing the appropriate dual problem in space–time, it is possible to establish an exact a posteriori error representation formula based on residuals and the dual solution. In particular, we focus on the error generation in time. An adaptive strategy in the time‐domain is proposed, and its performance is investigated with the aid of a numerical example in 2D. In particular, the excellent precision of the error estimate, in terms of the effectivity index being close to unity, is noted. Copyright © 2002 John Wiley & Sons, Ltd.