166 citations · 402 across the 16 of their papers we have counts for
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cs.CE2017★ 19 cited
Hyper-reduction over nonlinear manifolds for large nonlinear mechanical systems
Shobhit Jain, Paolo Tiso
Common trends in model order reduction of large nonlinear finite-element-discretized systems involve the introduction of a linear mapping into a reduced set of unknowns, followed b…
math.DS2017★ 78 cited
Exact Nonlinear Model Reduction for a von Karman beam: Slow-Fast Decomposition and Spectral Submanifolds
Shobhit Jain, Paolo Tiso, George Haller
We apply two recently formulated mathematical techniques, Slow-Fast Decomposition (SFD) and Spectral Submanifold (SSM) reduction, to a von Karman beam with geometric nonlinearities…