24 citations · 37 across the 9 of their papers we have counts for
12 papers
The Snapping Phenomenon and Boundary Enforcement in Model Reduction: Mechanisms and Mitigation
Charbel Farhat, Yihong Zhu, Faisal As'ad +1
Projection-based model order reduction mitigates the computational cost of high-fidelity parametric simulations but can suffer from the "snapping phenomenon", whereby a projection-…
High-order implicit Runge-Kutta time integrators for component-based model reduction of FSI problems
Tommaso Taddei, Xuejun Xu, Lei Zhang
We propose a model order reduction framework for incompressible fluid-structure interaction (FSI) problems based on high-order implicit Runge-Kutta (IRK) methods. We consider separ…
Optimization-based model order reduction of fluid-structure interaction problems
Tommaso Taddei, Xuejun Xu, Lei Zhang
We introduce optimization-based full-order and reduced-order formulations of fluid structure interaction problems. We study the flow of an incompressible Newtonian fluid which inte…
A non-overlapping optimization-based domain decomposition approach to component-based model reduction of incompressible flows
Tommaso Taddei, Xuejun Xu, Lei Zhang
We present a component-based model order reduction procedure to efficiently and accurately solve parameterized incompressible flows governed by the Navier-Stokes equations. Our app…
Registration-based model reduction of parameterized PDEs with spatio-parameter adaptivity
Nicolas Barral, Tommaso Taddei, Ishak Tifouti
We propose an automated nonlinear model reduction and mesh adaptation framework for rapid and reliable solution of parameterized advection-dominated problems, with emphasis on comp…
Compositional maps for registration in complex geometries
Tommaso Taddei
We develop and analyze a parametric registration procedure for manifolds associated with the solutions to parametric partial differential equations in two-dimensional domains. Give…
An optimization-based registration approach to geometry reduction
Tommaso Taddei
We develop and assess an optimization-based approach to parametric geometry reduction. Given a family of parametric domains, we aim to determine a parametric diffeomorphism tha…
Registration-based model reduction of parameterized two-dimensional conservation laws
Andrea Ferrero, Tommaso Taddei, Lei Zhang
We propose a nonlinear registration-based model reduction procedure for rapid and reliable solution of parameterized two-dimensional steady conservation laws. This class of problem…
Registration-based model reduction in complex two-dimensional geometries
Tommaso Taddei, Lei Zhang
We present a general -- i.e., independent of the underlying equation -- registration procedure for parameterized model order reduction. Given the spatial domain $Ω\subset \mathbb{R…
A discretize-then-map approach for the treatment of parameterized geometries in model order reduction
Tommaso Taddei, Lei Zhang
We present a general approach for the treatment of parameterized geometries in projection-based model order reduction. During the offline stage, given (i) a family of parameterized…
Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs
Tommaso Taddei, Lei Zhang
We propose a model reduction procedure for rapid and reliable solution of parameterized hyperbolic partial differential equations. Due to the presence of parameter-dependent shock…
A registration method for model order reduction: data compression and geometry reduction
Tommaso Taddei
We propose a general --- i.e., independent of the underlying equation --- registration method for parameterized Model Order Reduction. Given the spatial domain $Ω\subset \mathbb{R}…