Preserving Lagrangian structure in nonlinear model reduction with application to structural dynamics

@article{Carlberg2015PreservingLS,
  title={Preserving Lagrangian structure in nonlinear model reduction with application to structural dynamics},
  author={Kevin Carlberg and Ray S. Tuminaro and Paul T. Boggs},
  journal={SIAM J. Scientific Computing},
  year={2015},
  volume={37}
}
This work proposes a model-reduction methodology that preserves Lagrangian structure (equivalently Hamiltonian structure) and achieves computational efficiency in the presence of high-order nonlinearities and arbitrary parameter dependence. As such, the resulting reduced-order model retains key properties such as energy conservation and symplectic timeevolution maps. We focus on parameterized simple mechanical systems subjected to Rayleigh damping and external forces, and consider an… CONTINUE READING
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