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15 papers · 1 filter
An optimal first-order Taylor-like formula with a minimized remainder
Joël Chaskalovic, Franck Assous
In this paper, we derive an optimal first-order Taylor-like formula. In a seminal paper [14], we introduced a new first-order Taylor-like formula that yields a reduced remainder co…
RONAALP: Reduced-Order Nonlinear Approximation with Active Learning Procedure
Clément Scherding, Georgios Rigas, Denis Sipp +2
Many engineering applications rely on the evaluation of expensive, non-linear high-dimensional functions. In this paper, we propose the RONAALP algorithm (Reduced Order Nonlinear A…
Elastic instability behind brittle fracture
D. Riccobelli, P. Ciarletta, G. Vitale +2
We argue that nucleation of brittle cracks in initially flawless soft elastic solids is preceded by a nonlinear elastic instability, which cannot be captured without accounting for…
Improved -interpolation error estimates in : Application to finite element method
Joel Chaskalovic, Franck Assous
Based on a new Taylor-like formula, we derived an improved interpolation error estimate in . We compare it with the classical error estimates based on the standard Taylor…
Enhancing Interpolation and Approximation Error Estimates Using a Novel Taylor-like Formula
Joel Chaskalovic, Franck Assous
In this paper, we present an approach to enhance interpolation and approximation error estimates. Based on a previously derived first-order Taylor-like formula, we demonstrate its…
A priori tests of turbulence models for compressible flows
Sciacovelli L., Cannici A., Passiatore D. +1
A priori tests of turbulence models for the compressible Reynolds-Averaged Navier--Stokes (RANS) are performed by using Direct Numerical Simulations (DNS) data of zero-pressure-gra…