3 citations · 6 across the 13 of their papers we have counts for
14 papers
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…
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 new second order Taylor-like theorem with an optimized reduced remainder
J. Chaskalovic, F. Assous
In this paper, we derive a variant of the Taylor theorem to obtain a new minimized remainder. For a given function defined on the interval , this formula is derived by i…
A refined first-order expansion formula in Rn: Application to interpolation and finite element error estimates
Joel Chaskalovic, Franck Assous
The aim of this paper is to derive a refined first-order expansion formula in Rn, the goal being to get an optimal reduced remainder, compared to the one obtained by usual Taylor's…
Generalized Beta Prime Distribution Applied to Finite Element Error Approximation
Joel Chaskalovic, Franck Assous
In this paper we propose a new generation of probability laws based on the generalized Beta prime distribution to estimate the relative accuracy between two Lagrange finite element…
Numerical validation of probabilistic laws to evaluate finite element error estimates
Joel Chaskalovic, Franck Assous
We propose a numerical validation of a probabilistic approach applied to estimate the relative accuracy between two Lagrange finite elements and . In particular,…
Time Reversal for elastic scatterer location from Acoustic Recording
Franck Assous, Moshe Lin
The aim of this paper is to study the feasibility of time-reversal methods in a non homogeneous elastic medium, from data recorded in an acoustic medium. We aim to determine, from…
A hierarchy of reduced models to approximate Vlasov-Maxwell equations for slow time variations
Franck Assous, Yevgeni Furman
We introduce a new family of paraxial asymptotic models that approximate the Vlasov-Maxwell equations in non-relativistic cases. This formulation is -th order accurate in a para…
Numerical solution to the 3D Static Maxwell equations in axisymmetric singular domains with arbitrary data
Franck Assous, Irina Raichik
We propose a numerical method to solve the three-dimensional static Maxwell equations in a singular axisymmetric domain, generated by the rotation of a singular polygon around one…
On generalized binomial laws to evaluate finite element accuracy: toward applications for adaptive mesh refinement
Joel Chaskalovic, Franck Assous
The aim of this paper is to provide new perspectives on the relative finite elements accuracy. Starting from a geometrical interpretation of the error estimate which can be deduced…
Explicit k-dependency for finite elements in error estimates: application to probabilistic laws for accuracy analysis
Joel Chaskalovic, Franck Assous
We derive an explicit dependence in error estimates for Lagrange finite elements. Two laws of probability are established to measure the relative accuracy betwe…
A new mixed functional-probabilistic approach for finite element accuracy
Joël Chaskalovic, Franck Assous
The aim of this paper is to provide a new perspective on finite element accuracy. Starting from a geometrical reading of the Bramble-Hilbert lemma, we recall the two probabilistic…
A new probabilistic interpretation of Bramble-Hilbert lemma
Joël Chaskalovic, Franck Assous
The aim of this paper is to provide new perspectives on relative finite element accuracy which is usually based on the asymptotic speed of convergence comparison when the mesh size…