Advances in Engineering Software
Choice of initial guess in iterative solution of series of systems arising in fluid flow simulations
Journal of Computational Physics
Computational Optimization and Applications - Special issue: Numerical analysis of optimization in partial differential equations
Computational Optimization and Applications
Hybrid dynamic iterations for the solution of initial value problems
Journal of Parallel and Distributed Computing
Dynamic Data Driven Application System for Plume Estimation Using UAVs
Journal of Intelligent and Robotic Systems
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We describe a new iterative method, dynamic iteration using reduced order models (DIRM), for simulation of large scale modular systems using reduced order models that preserve the interconnection structure. This method may be compared to the waveform relaxation technique; however, unlike DIRM, waveform relaxation does not take advantage of model reduction techniques. The DIRM method involves simulating in turn each subsystem connected to model reduced versions of the other subsystems. The data from this simulation is then used to update the reduced model for that particular subsystem. We provide analytical results on convergence and accuracy of the DIRM method as well as numerical examples that demonstrate the success of DIRM and verify the analysis.