Vlasov-Maxwell Simulations in Singular Geometries. - Franck Assous; Patrick Ciarlet Jr. (International Conference on Computational Science (4), 2006)

Numerical Solution to Maxwell's Equations in Singular Waveguides. - Franck Assous; Patrick Ciarlet Jr. (International Conference on Computational Science (4), 2007)

Numerical Solution to Maxwell's Equations in Singular Waveguides. - Franck Assous (IMECS, 2007)

A Multiscale Approach for Solving Maxwell's Equations in Waveguides with Conical Inclusions. - Franck Assous; Patrick Ciarlet Jr. (ICCS (2), 2008)

Solving Vlasov-Maxwell equations in singular geometries. - Franck Assous; Patrick Ciarlet Jr. (Math. Comput. Simul., 2008)

Numerical paraxial approximation for highly relativistic beams. - Franck Assous; Felix Tsipis (Comput. Phys. Commun., 2009)

Joly-Mercier boundary condition for the finite element solution of 3D Maxwell equations. - Franck Assous; Eric Sonnendrücker (Math. Comput. Model., 2010)

A new asymptotic approximate model for the Vlasov-Maxwell equations. - Franck Assous; Felix Tsipis (ICCS, 2010)

Data mining techniques for scientific computing: Application to asymptotic paraxial approximations to model ultrarelativistic particles. - Franck Assous; Joël Chaskalovic (J. Comput. Phys., 2011)

Solving Maxwell's equations in singular domains with a Nitsche type method. - Franck Assous; Michael Michaeli (J. Comput. Phys., 2011)

A domain decomposition method for the parallelization of a three-dimensional Maxwell solver based on a constrained formulation. - Franck Assous; J. Segré; Eric Sonnendrücker (Math. Comput. Simul., 2011)

Data Mining Methods For Performance Evaluations To Asymptotic Numerical Models. - Franck Assous; Joël Chaskalovic (ICCS, 2011)

A Numerical Method for Handling Boundary and Transmission Conditions in Some Linear Partial Differential Equations. - Franck Assous; Michael Michaeli (ICCS, 2012)

A numerical method for handling boundary and transmission conditions. - Franck Assous; Michael Michaeli (Math. Comput. Model., 2013)

A paraxial asymptotic model for the coupled Vlasov-Maxwell problem in electromagnetics. - Franck Assous; Joël Chaskalovic (J. Comput. Appl. Math., 2014)

Indeterminate constants in numerical approximations of PDEs: A pilot study using data mining techniques. - Franck Assous; Joël Chaskalovic (J. Comput. Appl. Math., 2014)

Data mining and probabilistic models for error estimate analysis of finite element method. - Joël Chaskalovic; Franck Assous (Math. Comput. Simul., 2016)

Time-dependent wave splitting and source separation. - Marcus J. Grote; Marie Kray; Frédéric Nataf; Franck Assous (J. Comput. Phys., 2017)

Probabilistic Approach to characterize Quantitative uncertainty in numerical Approximations. - Joël Chaskalovic; Franck Assous (Math. Model. Anal., 2017)

From a Geometrical Interpretation of Bramble-Hilbert Lemma to a Probability Distribution for Finite Element Accuracy. - Joël Chaskalovic; Franck Assous (FDM, 2018)

Numerical Solution to the 3D Static Maxwell Equations in Axisymmetric Singular Domains with Arbitrary Data. - Franck Assous; Irina Raichik (Comput. Methods Appl. Math., 2020)

A New Probabilistic Interpretation of the Bramble-Hilbert Lemma. - Joël Chaskalovic; Franck Assous (Comput. Methods Appl. Math., 2020)

A New Mixed Functional-probabilistic Approach for Finite Element Accuracy. - Joël Chaskalovic; Franck Assous (Comput. Methods Appl. Math., 2020)

A hierarchy of reduced models to approximate Vlasov-Maxwell equations for slow time variations. - Franck Assous; Yevgeni Furman (CoRR, 2020)

Time reversal for elastic scatterer location from acoustic recording. - Franck Assous; Moshe Lin (J. Comput. Phys., 2020)

On generalized binomial laws to evaluate finite element accuracy: preliminary probabilistic results for adaptive mesh refinement. - Joël Chaskalovic; Franck Assous (J. Num. Math., 2020)

Solving an inverse acousto-elastic scattering problems by combining full-waveform redatuming and time reversal. - Franck Assous; Moshe Lin (J. Comput. Phys., 2021)

Full-waveform redatuming via a TRAC approach: A first step towards target oriented inverse problem. - Franck Assous; Frédéric Nataf (J. Comput. Phys., 2021)

Numerical Validation of Probabilistic Laws to Evaluate finite element error estimates. - Joël Chaskalovic; Franck Assous (Math. Model. Anal., 2021)

Generalized Beta Prime Distribution Applied to Finite Element Error Approximation. - Joël Chaskalovic; Franck Assous (Axioms, 2022)

Multi-Scale Paraxial Models to Approximate Vlasov-Maxwell Equations. - Franck Assous; Yevgeni Furman (Comput. Methods Appl. Math., 2022)

A new second order Taylor-like theorem with an optimized reduced remainder. - Joël Chaskalovic; Franck Assous (CoRR, 2023)

Improved P1-interpolation error estimates in W1, p(]0, 1[): Application to finite element method. - Joël Chaskalovic; Franck Assous (CoRR, 2023)

An optimal first-order Taylor-like formula with a minimized remainder. - Joël Chaskalovic; Franck Assous (CoRR, 2023)

Numerical approximation of 3D particle beams by multi-scale paraxial Vlasov-Maxwell equations. - Franck Assous; Yevgeni Furman (J. Comput. Phys., 2023)

A numerical method for 3D Time-dependent Maxwell's equations in axisymmetric singular Domains with Arbitrary Data. - Franck Assous; Irina Raichik (Math. Model. Anal., 2023)

A new second order Taylor-like theorem with an optimized reduced remainder. - Joël Chaskalovic; Franck Assous; Hessam Jamshidipour (J. Comput. Appl. Math., 2024)

Enhancing interpolation and approximation error estimates using a novel Taylor-like formula. - Joël Chaskalovic; Franck Assous (J. Comput. Appl. Math., 2025)

A refined first-order expansion formula in Rn: Application to interpolation and finite element error estimates. - Joël Chaskalovic; Franck Assous (J. Comput. Appl. Math., 2025)