672 citations · 1.4k across the 27 of their papers we have counts for
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3 papers · 1 filter
math.NA2014★ 59 cited
The ROMES method for statistical modeling of reduced-order-model error
Martin Drohmann, Kevin Carlberg
This work presents a technique for statistically modeling errors introduced by reduced-order models. The method employs Gaussian-process regression to construct a mapping from a sm…
math.NA2014★ 142 cited
Adaptive -refinement for reduced-order models
Kevin Carlberg
This work presents a method to adaptively refine reduced-order models \emph{a posteriori} without requiring additional full-order-model solves. The technique is analogous to mesh-a…
cs.CE2014★ 92 cited
Preserving Lagrangian structure in nonlinear model reduction with application to structural dynamics
Kevin Carlberg, Ray Tuminaro, Paul Boggs
This work proposes a model-reduction methodology that preserves Lagrangian structure (equivalently Hamiltonian structure) and achieves computational efficiency in the presence of h…