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20202022
most citedMapping of coherent structures in parameterized flows by learning optimal transportation with Gaussian models

24 citations

7 papers

math.NA2022★ 23 cited

A one-shot overlapping Schwarz method for component-based model reduction: application to nonlinear elasticity

Angelo Iollo, Giulia Sambataro, Tommaso Taddei

We propose a component-based (CB) parametric model order reduction (pMOR) formulation for parameterized nonlinear elliptic partial differential equations (PDEs) based on overlappin…

math.NA2021★ 24 cited

Mapping of coherent structures in parameterized flows by learning optimal transportation with Gaussian models

Angelo Iollo, Tommaso Taddei

We present a general (i.e., independent of the underlying model) interpolation technique based on optimal transportation of Gaussian models for parametric advection-dominated probl…

math.NA2021★ 24 cited

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…

math.NA2021★ 4 cited

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…

math.NA2020★ 3 cited

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…

physics.comp-ph2020★ 14 cited

Calibration of projection-based reduced-order models for unsteady compressible flows

Victor Zucatti, William R. Wolf, Michel Bergmann

An analysis of calibration for reduced-order models (ROMs) is presented in this work. The Galerkin and least-squares Petrov-Galerkin (LSPG) methods are tested on compressible flows…