101 citations
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math.NA2024★ 7 cited
Elasticity-based morphing technique and application to reduced-order modeling
Abbas Kabalan, Fabien Casenave, Felipe Bordeu +2
The aim of this article is to introduce a new methodology for constructing morphings between shapes that have identical topology. The morphings are obtained by deforming a referenc…
math.NA2021★ 27 cited
Physics-informed cluster analysis and a priori efficiency criterion for the construction of local reduced-order bases
Thomas Daniel, Fabien Casenave, Nissrine Akkari +2
Nonlinear model order reduction has opened the door to parameter optimization and uncertainty quantification in complex physics problems governed by nonlinear equations. In particu…