Newton waveform relaxation techniques for tightly coupled systems

Author(s):  
D.J. Erdman ◽  
D.J. Rose
Author(s):  
Rita Berggren ◽  
Johanna E. Pregmark ◽  
Tobias Fredberg ◽  
Björn Frössevi

2011 ◽  
Vol 3 (8) ◽  
pp. A21 ◽  
Author(s):  
Xuezhe Zheng ◽  
Pranay Koka ◽  
Michael O. McCracken ◽  
Herb Schwetman ◽  
James G. Mitchell ◽  
...  

2020 ◽  
Vol 9 (1) ◽  
pp. 49-58
Author(s):  
J. D. Nshimiyimana ◽  
F. Plumier ◽  
C. Ndagije ◽  
J. Gyselinck ◽  
C. Geuzain

Coupled problems result in very stiff problems whose char- acteristic parameters differ with several orders in magni- tude. For such complex problems, solving them monolithi- cally becomes prohibitive. Since nowadays there are op- timized solvers for particular problems, solving uncoupled problems becomes easy since each can be solved indepen- dently with its dedicated optimized tools. Therefore the co-simulation of the sub-problems solvers is encouraged. The design of the transmission coupling conditions between solvers plays a fundamental role. The current paper ap- plies the waveform relaxation methods for co-simulation of the finite element and circuit solvers by also investigating the contribution of higher order integration methods. The method is illustrated on a coupled finite element inductor and a boost converter and focuses on the comparison of the transmission coupling conditions based on the waveform iteration numbers between the two sub-solvers. We demon- strate that for lightly coupled systems the dynamic iterations between the sub-solvers depends much on the inter- nal integrators in individual sub-solvers whereas for tightly coupled systems it depends also to the kind of transmission coupling conditions.


Author(s):  
Lawrence Collingbourne ◽  
Andrew Cholerton ◽  
Tim Bolderston

2016 ◽  
Vol 26 (2) ◽  
pp. 1-26 ◽  
Author(s):  
Georg Kunz ◽  
Mirko Stoffers ◽  
Olaf Landsiedel ◽  
Klaus Wehrle ◽  
James Gross

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