Franck Assous

Orcid: 0000-0001-6280-6497

According to our database1, Franck Assous authored at least 39 papers between 2006 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

Timeline

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Bibliography

2024
A new second order Taylor-like theorem with an optimized reduced remainder.
J. Comput. Appl. Math., March, 2024

2023
A numerical method for 3D Time-dependent Maxwell's equations in axisymmetric singular Domains with Arbitrary Data.
Math. Model. Anal., September, 2023

Numerical approximation of 3D particle beams by multi-scale paraxial Vlasov-Maxwell equations.
J. Comput. Phys., September, 2023

An optimal first-order Taylor-like formula with a minimized remainder.
CoRR, 2023

Improved P<sub>1</sub>-interpolation error estimates in W<sup>1, p</sup>(]0, 1[): Application to finite element method.
CoRR, 2023

Enhancing Interpolation and Approximation Error Estimates Using a Novel Taylor-like Formula.
CoRR, 2023

A new second order Taylor-like theorem with an optimized reduced remainder.
CoRR, 2023

2022
A refined first-order expansion formula in Rn: Application to interpolation and finite element error estimates.
CoRR, 2022

Multi-Scale Paraxial Models to Approximate Vlasov-Maxwell Equations.
Comput. Methods Appl. Math., 2022

Generalized Beta Prime Distribution Applied to Finite Element Error Approximation.
Axioms, 2022

2021
Numerical Validation of Probabilistic Laws to Evaluate finite element error estimates.
Math. Model. Anal., 2021

Full-waveform redatuming via a TRAC approach: A first step towards target oriented inverse problem.
J. Comput. Phys., 2021

Solving an inverse acousto-elastic scattering problems by combining full-waveform redatuming and time reversal.
J. Comput. Phys., 2021

2020
On generalized binomial laws to evaluate finite element accuracy: preliminary probabilistic results for adaptive mesh refinement.
J. Num. Math., 2020

Time reversal for elastic scatterer location from acoustic recording.
J. Comput. Phys., 2020

A hierarchy of reduced models to approximate Vlasov-Maxwell equations for slow time variations.
CoRR, 2020

A New Mixed Functional-probabilistic Approach for Finite Element Accuracy.
Comput. Methods Appl. Math., 2020

A New Probabilistic Interpretation of the Bramble-Hilbert Lemma.
Comput. Methods Appl. Math., 2020

Numerical Solution to the 3D Static Maxwell Equations in Axisymmetric Singular Domains with Arbitrary Data.
Comput. Methods Appl. Math., 2020

2018
From a Geometrical Interpretation of Bramble-Hilbert Lemma to a Probability Distribution for Finite Element Accuracy.
Proceedings of the Finite Difference Methods. Theory and Applications, 2018

2017
Probabilistic Approach to characterize Quantitative uncertainty in numerical Approximations.
Math. Model. Anal., 2017

Time-dependent wave splitting and source separation.
J. Comput. Phys., 2017

2016
Data mining and probabilistic models for error estimate analysis of finite element method.
Math. Comput. Simul., 2016

2014
Indeterminate constants in numerical approximations of PDEs: A pilot study using data mining techniques.
J. Comput. Appl. Math., 2014

A paraxial asymptotic model for the coupled Vlasov-Maxwell problem in electromagnetics.
J. Comput. Appl. Math., 2014

2013
A numerical method for handling boundary and transmission conditions.
Math. Comput. Model., 2013

2012
A Numerical Method for Handling Boundary and Transmission Conditions in Some Linear Partial Differential Equations.
Proceedings of the International Conference on Computational Science, 2012

2011
Data Mining Methods For Performance Evaluations To Asymptotic Numerical Models.
Proceedings of the International Conference on Computational Science, 2011

A domain decomposition method for the parallelization of a three-dimensional Maxwell solver based on a constrained formulation.
Math. Comput. Simul., 2011

Solving Maxwell's equations in singular domains with a Nitsche type method.
J. Comput. Phys., 2011

Data mining techniques for scientific computing: Application to asymptotic paraxial approximations to model ultrarelativistic particles.
J. Comput. Phys., 2011

2010
A new asymptotic approximate model for the Vlasov-Maxwell equations.
Proceedings of the International Conference on Computational Science, 2010

Joly-Mercier boundary condition for the finite element solution of 3D Maxwell equations.
Math. Comput. Model., 2010

2009
Numerical paraxial approximation for highly relativistic beams.
Comput. Phys. Commun., 2009

2008
Solving Vlasov-Maxwell equations in singular geometries.
Math. Comput. Simul., 2008

A Multiscale Approach for Solving Maxwell's Equations in Waveguides with Conical Inclusions.
Proceedings of the Computational Science, 2008

2007
Numerical Solution to Maxwell's Equations in Singular Waveguides.
Proceedings of the International MultiConference of Engineers and Computer Scientists 2007, 2007

Numerical Solution to Maxwell's Equations in Singular Waveguides.
Proceedings of the Computational Science - ICCS 2007, 7th International Conference, Beijing, China, May 27, 2007

2006
Vlasov-Maxwell Simulations in Singular Geometries.
Proceedings of the Computational Science, 2006


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