Franck Assous

Publication Activity (10 Years)

Years Active: 2006-2025
Publications (10 Years): 28

Top Topics

Error Estimates

Geometrical Interpretation

Top Venues

J. Comput. Phys.

J. Comput. Appl. Math.

Comput. Methods Appl. Math.

Publications

Joël Chaskalovic, Franck Assous
Enhancing interpolation and approximation error estimates using a novel Taylor-like formula. J. Comput. Appl. Math. 453 (2025)
Joël Chaskalovic, Franck Assous, Hessam Jamshidipour
A new second order Taylor-like theorem with an optimized reduced remainder. J. Comput. Appl. Math. 438 (2024)
Franck Assous, Irina Raichik
A numerical method for 3D Time-dependent Maxwell's equations in axisymmetric singular Domains with Arbitrary Data. Math. Model. Anal. 28 (3) (2023)
Franck Assous, Yevgeni Furman
Numerical approximation of 3D particle beams by multi-scale paraxial Vlasov-Maxwell equations. J. Comput. Phys. 488 (2023)
Joël Chaskalovic, Franck Assous
Enhancing Interpolation and Approximation Error Estimates Using a Novel Taylor-like Formula. CoRR (2023)
Joël Chaskalovic, Franck Assous
A new second order Taylor-like theorem with an optimized reduced remainder. CoRR (2023)
Joël Chaskalovic, Franck Assous
(]0, 1[): Application to finite element method. CoRR (2023)
Joël Chaskalovic, Franck Assous
An optimal first-order Taylor-like formula with a minimized remainder. CoRR (2023)
Joël Chaskalovic, Franck Assous
A refined first-order expansion formula in Rn: Application to interpolation and finite element error estimates. CoRR (2022)
Franck Assous, Yevgeni Furman
Multi-Scale Paraxial Models to Approximate Vlasov-Maxwell Equations. Comput. Methods Appl. Math. 22 (2) (2022)
Joël Chaskalovic, Franck Assous
Generalized Beta Prime Distribution Applied to Finite Element Error Approximation. Axioms 11 (3) (2022)
Joël Chaskalovic, Franck Assous
Numerical Validation of Probabilistic Laws to Evaluate finite element error estimates. Math. Model. Anal. 26 (4) (2021)
Franck Assous, Moshe Lin
Solving an inverse acousto-elastic scattering problems by combining full-waveform redatuming and time reversal. J. Comput. Phys. 445 (2021)
Franck Assous, Frédéric Nataf
Full-waveform redatuming via a TRAC approach: A first step towards target oriented inverse problem. J. Comput. Phys. 440 (2021)
Joël Chaskalovic, Franck Assous
On generalized binomial laws to evaluate finite element accuracy: preliminary probabilistic results for adaptive mesh refinement. J. Num. Math. 28 (2) (2020)
Franck Assous, Irina Raichik
Numerical Solution to the 3D Static Maxwell Equations in Axisymmetric Singular Domains with Arbitrary Data. Comput. Methods Appl. Math. 20 (3) (2020)
Franck Assous, Yevgeni Furman
A hierarchy of reduced models to approximate Vlasov-Maxwell equations for slow time variations. CoRR (2020)
Joël Chaskalovic, Franck Assous
A New Probabilistic Interpretation of the Bramble-Hilbert Lemma. Comput. Methods Appl. Math. 20 (1) (2020)
Joël Chaskalovic, Franck Assous
A New Mixed Functional-probabilistic Approach for Finite Element Accuracy. Comput. Methods Appl. Math. 20 (4) (2020)
Joël Chaskalovic, Franck Assous
Numerical validation of probabilistic laws to evaluate finite element error estimates. CoRR (2020)
Joël Chaskalovic, Franck Assous
Generalized Beta Prime Distribution Applied to Finite Element Error Approximation. CoRR (2020)
Franck Assous, Moshe Lin
Time Reversal for elastic scatterer location from Acoustic Recording. CoRR (2020)
Franck Assous, Moshe Lin
Time reversal for elastic scatterer location from acoustic recording. J. Comput. Phys. 423 (2020)
Franck Assous, Irina Raichik
Numerical solution to the 3D Static Maxwell equations in axisymmetric singular domains with arbitrary data. CoRR (2019)
Joël Chaskalovic, Franck Assous
From a Geometrical Interpretation of Bramble-Hilbert Lemma to a Probability Distribution for Finite Element Accuracy. FDM (2018)
Joël Chaskalovic, Franck Assous
Probabilistic Approach to characterize Quantitative uncertainty in numerical Approximations. Math. Model. Anal. 22 (1) (2017)
Marcus J. Grote, Marie Kray, Frédéric Nataf, Franck Assous
Time-dependent wave splitting and source separation. J. Comput. Phys. 330 (2017)
Joël Chaskalovic, Franck Assous
Data mining and probabilistic models for error estimate analysis of finite element method. Math. Comput. Simul. 129 (2016)
Franck Assous, Joël Chaskalovic
A paraxial asymptotic model for the coupled Vlasov-Maxwell problem in electromagnetics. J. Comput. Appl. Math. 270 (2014)
Franck Assous, Joël Chaskalovic
Indeterminate constants in numerical approximations of PDEs: A pilot study using data mining techniques. J. Comput. Appl. Math. 270 (2014)
Franck Assous, Michael Michaeli
A numerical method for handling boundary and transmission conditions. Math. Comput. Model. 58 (1-2) (2013)
Franck Assous, Michael Michaeli
A Numerical Method for Handling Boundary and Transmission Conditions in Some Linear Partial Differential Equations. ICCS (2012)
Franck Assous, Michael Michaeli
Solving Maxwell's equations in singular domains with a Nitsche type method. J. Comput. Phys. 230 (12) (2011)
Franck Assous, Joël Chaskalovic
Data mining techniques for scientific computing: Application to asymptotic paraxial approximations to model ultrarelativistic particles. J. Comput. Phys. 230 (12) (2011)
Franck Assous, Joël Chaskalovic
Data Mining Methods For Performance Evaluations To Asymptotic Numerical Models. ICCS (2011)
Franck Assous, J. Segré, Eric Sonnendrücker
A domain decomposition method for the parallelization of a three-dimensional Maxwell solver based on a constrained formulation. Math. Comput. Simul. 81 (11) (2011)
Franck Assous, Eric Sonnendrücker
Joly-Mercier boundary condition for the finite element solution of 3D Maxwell equations. Math. Comput. Model. 51 (7-8) (2010)
Franck Assous, Felix Tsipis
A new asymptotic approximate model for the Vlasov-Maxwell equations. ICCS (1) (2010)
Franck Assous, Felix Tsipis
Numerical paraxial approximation for highly relativistic beams. Comput. Phys. Commun. 180 (7) (2009)
Franck Assous, Patrick Ciarlet Jr.
Solving Vlasov-Maxwell equations in singular geometries. Math. Comput. Simul. 79 (4) (2008)
Franck Assous, Patrick Ciarlet Jr.
A Multiscale Approach for Solving Maxwell's Equations in Waveguides with Conical Inclusions. ICCS (2) (2008)
Franck Assous
Numerical Solution to Maxwell's Equations in Singular Waveguides. IMECS (2007)
Franck Assous, Patrick Ciarlet Jr.
Numerical Solution to Maxwell's Equations in Singular Waveguides. International Conference on Computational Science (4) (2007)
Franck Assous, Patrick Ciarlet Jr.
Vlasov-Maxwell Simulations in Singular Geometries. International Conference on Computational Science (4) (2006)