Publisher DOI: 10.1016/j.camwa.2012.05.010
Title: Accelerated staggered coupling schemes for problems of thermoelasticity at finite strains
Language: English
Authors: Erbts, Patrick 
Düster, Alexander 
Keywords: Thermoelasticity; Partitioned coupling schemes; Convergence acceleration; Time adaptivity
Issue Date: 2012
Publisher: Elsevier Science
Source: Computers & Mathematics with Applications 8 (64): 2408-2430 (2012)
Abstract (english): 
This paper introduces a fully implicit partitioned coupling scheme for problems of thermoelasticity at finite strains utilizing the -version of the finite element method. The mechanical and the thermal fields are partitioned into symmetric subproblems where algorithmic decoupling has been obtained by means of an isothermal operator-split. Numerical relaxation methods have been implemented to accelerate the convergence of the algorithm. Such methods are well-known from coupled fluid-structure interaction problems leading to highly efficient algorithms. Having studied the influence of three different strategies: polynomial prediction methods, numerical relaxation with constant relaxation coefficients, its dynamic variant with a residual based relaxation coefficient and a variant of a reduced order model - quasi-Newton method, we present several numerical simulations of quasi-static problems investigating the performance of accelerated coupling schemes.
ISSN: 0898-1221
Journal: Computers and mathematics with applications 
Institute: Konstruktion und Festigkeit von Schiffen M-10 
Document Type: Article
Project: Elektro-thermo-mechanische Modellierung der Field Assisted Sintering Technologie bei Verwendung finiter Elemente hoher Ordnung validiert durch Experimente 
More Funding information: Deutsche Forschungsgemeinschaft (DFG)
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