A quadratic manifold derived via perturbation analysis extends the Craig-Bampton method to geometrically nonlinear structures, producing an efficient polynomial reduced-order model via Galerkin projection that preserves Lagrangian structure.
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RedEigCD enables stable timestep increases up to 40 times larger than full-order models for projection-based ROMs of incompressible flows by using exact spectral bounds on reduced convective and diffusive operators together with a proof that ROM stable timesteps are at least as large as FOM ones.
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Craig-Bampton-based Quadratic Manifold for Nonlinear Substructuring
A quadratic manifold derived via perturbation analysis extends the Craig-Bampton method to geometrically nonlinear structures, producing an efficient polynomial reduced-order model via Galerkin projection that preserves Lagrangian structure.
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Stable self-adaptive timestepping for Reduced Order Models for incompressible flows
RedEigCD enables stable timestep increases up to 40 times larger than full-order models for projection-based ROMs of incompressible flows by using exact spectral bounds on reduced convective and diffusive operators together with a proof that ROM stable timesteps are at least as large as FOM ones.