Multiharmonic resolution of nonlinearly coupled electrovibromechanical systems using domain decomposition

摘要

This paper compares linearly as well as nonlinearly preconditionned domain decomposition methods for nonlinear, coupled electrovibromechanical problems. The iteration unknowns for the domain decomposition are either taken only at the subdomain interfaces or in the whole volume. Both staggered and monolithic electrostatic/elastic/acoustic formulations are considered for the multiphysics problem. Because of the nonlinearity a pure harmonic excitation leads to multiple harmonics in the displacement field, in the pressure field and in the electric potential. A novel multiharmonic resolution method is used to automatically generate the required multiharmonic formulations and thus avoid the need of time-stepping to reach steady state.