|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
|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.
|URI:||http://hdl.handle.net/11420/3348||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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