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Adaptive space‐time finite element methods for dynamic linear thermoelasticity
Author(s) -
Rademacher Andreas
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510330
Subject(s) - discretization , thermoelastic damping , galerkin method , finite element method , estimator , mathematics , method of mean weighted residuals , basis function , basis (linear algebra) , time stepping , space time , dual (grammatical number) , space (punctuation) , discontinuous galerkin method , mathematical analysis , mathematical optimization , computer science , physics , geometry , thermal , engineering , structural engineering , art , statistics , literature , chemical engineering , meteorology , operating system
This article focuses on goal oriented error control for dynamic linear thermoelastic problems. To this end, we present a space‐time formulation of this problem class. The corresponding space‐time Galerkin discretization is the basis for the derivation of the error estimator using the dual weighted residual (DWR) method. A numerical example substantiates the accuracy and efficiency of the presented approach. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)