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math.NA2021★ 2 cited
Optimal piecewise linear data compression for solutions of parametrized partial differential equations
Thomas Daniel, Fabien Casenave, Nissrine Akkari +1
Model order reduction has been extensively studied over the last two decades. Projection-based methods such as the Proper Orthogonal Decomposition and the Reduced Basis Method enjo…
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…