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authFullName_s : Franck Assous
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Numerical validation of probabilistic laws to evaluate finite element error estimates

Jöel Chaskalovic , Franck Assous
Mathematical Modelling and Analysis, 2021, 26 (4), pp.684 - 695. ⟨10.3846/mma.2021.14079⟩
Journal articles hal-03467749v1
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Generalized Beta Prime Distribution Applied to Finite Element Error Approximation

Joël Chaskalovic , Franck Assous
Axioms, 2022, 11 (3), pp.84. ⟨10.3390/axioms11030084⟩
Journal articles hal-03832086v1
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A New Mixed Functional-Probabilistic Approach for Finite Element Accuracy

Joël Chaskalovic , Franck Assous
Computational Methods in Applied Mathematics, 2020, 20 (4), pp.799 - 813. ⟨10.1515/cmam-2019-0089⟩
Journal articles hal-03832203v1
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A New Probabilistic Interpretation of the Bramble–Hilbert Lemma

Joël Chaskalovic , Franck Assous
Computational Methods in Applied Mathematics, 2019, 20, pp.79 - 87. ⟨10.1515/cmam-2018-0270⟩
Journal articles hal-03837965v1
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How to solve inverse scattering problems without knowing the source term: a three-step strategy

Marie Graff , Marcus J. Grote , Frédéric Nataf , Franck Assous
Inverse Problems, 2019, 35 (10), pp.104001. ⟨10.1088/1361-6420/ab2d5f⟩
Journal articles hal-02002931v1

Une caractérisation de l'orthogonal de $\Delta (H^2(\Omega)\cap H^1_0(\Omega))$ dans $L^2(\Omega)$

Franck Assous , Patrick Ciarlet
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1997, 325 (6), pp.605-610. ⟨10.1016/S0764-4442(97)84769-6⟩
Journal articles istex hal-01010417v1

Solution of axisymmetric Maxwell equations

Franck Assous , Patrick Ciarlet , Simon Labrunie
Mathematical Methods in the Applied Sciences, 2003, 26 (10), pp.861-896. ⟨10.1002/mma.400⟩
Journal articles istex hal-00989564v1

Time-dependent Maxwell's equations with charges in singular geometries

Franck Assous , Patrick Ciarlet , Emmanuelle Garcia , Jacques Segré
Computer Methods in Applied Mechanics and Engineering, 2006, 196 (1-3), pp.665-681. ⟨10.1016/j.cma.2006.07.007⟩
Journal articles istex hal-00977677v1

Résolution des équations de Maxwell instationnaires avec charges dans un domaine singulier bidimensionnel

Franck Assous , Patrick Ciarlet , Emmanuelle Garcia
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2000, 330, pp.391-396. ⟨10.1016/S0764-4442(00)00159-2⟩
Journal articles istex hal-01010723v1

Caractérisation de la partie singulière et résolution des équations de Maxwell en géométrie singulière axisymétrique

Franck Assous , Patrick Ciarlet , Simon Labrunie
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1999, 328 (9), pp.767-772. ⟨10.1016/S0764-4442(99)80269-9⟩
Journal articles istex hal-01010720v1

Numerical solution to the time-dependent Maxwell equations in axisymmetric singular domains: The Singular Complement Method

Franck Assous , Patrick Ciarlet , Simon Labrunie , Jacques Segré
Journal of Computational Physics, 2003, 191 (1), pp.147-176. ⟨10.1016/S0021-9991(03)00309-7⟩
Journal articles istex hal-00989621v1
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Explicit k-dependence for Pk finite elements in Wm,p error estimates: application to probabilistic laws for accuracy analysis

Joël Chaskalovic , Franck Assous
Applicable Analysis, 2019, 100 (13), pp.2825-2843. ⟨10.1080/00036811.2019.1698727⟩
Journal articles hal-03837946v1
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Mathematical foundations of computational electromagnetism

Franck Assous , Patrick Ciarlet , Simon Labrunie
Springer, 2017, Mathematical Foundations of Computational Electromagnetism, 978-3-319-70841-6. ⟨10.1007/978-3-319-70842-3⟩
Books hal-01596575v2
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Time Reversed Absorbing Condition in the Partial Aperture Case

Franck Assous , Marie Kray , Frédéric Nataf
Wave Motion, 2012, 49 (7), pp.617-631. ⟨10.1016/j.wavemoti.2012.03.006⟩
Journal articles hal-00581291v1
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Time Reversed Absorbing Condition: Application to inverse problems

Franck Assous , Marie Kray , Frédéric Nataf , Eli Turkel
2011
Preprints, Working Papers, ... hal-00491912v2
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Numerical Validation of Probabilistic Laws to Evaluate Finite Element Error Estimates

Jöel Chaskalovic , Franck Assous
Mathematical Modelling and Analysis, 2021, 26, pp.684 - 695. ⟨10.3846/mma.2021.14079⟩
Journal articles hal-03832211v1
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A new second order Taylor-like theorem with an optimized reduced remainder

Joël Chaskalovic , Franck Assous , Hessam Jamshidipour
2023
Preprints, Working Papers, ... hal-04086433v1
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Indeterminate Constants in Numerical Approximations of PDEs: A Pilot Study Using Data Mining Techniques

Franck Assous , Joël Chaskalovic
Journal of Computational and Applied Mathematics, 2014, 270, pp.462-470. ⟨10.1016/j.cam.2013.12.015⟩
Journal articles hal-03913566v1
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Characterization of the Singular Part of the Solution of Maxwell's Equations in a Polyhedral Domain

Franck Assous , Patrick Ciarlet , Pierre-Arnaud Raviart , Eric Sonnendrücker
[Research Report] RR-3226, INRIA. 1997, pp.13
Reports inria-00073463v1

Wave splitting for time-dependent scattered field separation

Marcus J. Grote , Marie Kray , Frédéric Nataf , Franck Assous
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2015, 353 (6), pp.523-527. ⟨10.1016/j.crma.2015.03.008⟩
Journal articles hal-01405525v1
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Time Reversed Absorbing Conditions

Franck Assous , Marie Kray , Frédéric Nataf , Eli Turkel
2010
Preprints, Working Papers, ... hal-00511298v1
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From a Geometrical Interpretation of Bramble-Hilbert Lemma to a Probability Distribution for Finite Element Accuracy

Joël Chaskalovic , Franck Assous
Lecture Notes in Computer Science, 2019, Lecture Notes in Computer Science, pp.3-14. ⟨10.1007/978-3-030-11539-5_1⟩
Journal articles hal-03837971v1
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On Generalized Binomial Laws to Evaluate Finite Element Accuracy: Preliminary Probabilistic Results for Adaptive Mesh Refinement

Joël Chaskalovic , Franck Assous
Journal of Numerical Mathematics, 2020, 28, pp.63 - 74. ⟨10.1515/jnma-2019-0001⟩
Journal articles hal-03832215v1
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Probabilitic Approach to Characterize Quantitative Uncertainty in Numerical Approximations

Joel Chaskalovic , Franck Assous
Mathematical Modelling and Analysis, 2017, 22, pp.106 - 120. ⟨10.3846/13926292.2017.1272499⟩
Journal articles hal-03838096v1

Resolution of the Maxwell equations in a domain with reentrant corners

Franck Assous , Patrick Ciarlet , Eric Sonnendrücker
ESAIM: Mathematical Modelling and Numerical Analysis, 1998, 32 (3), pp.359-389
Journal articles hal-01010426v1

Quelques résultats sur la régularité en temps des équations de Maxwell instationnaires

Franck Assous , Patrick Ciarlet
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1998, 327 (8), pp.719-724. ⟨10.1016/S0764-4442(98)80158-4⟩
Journal articles istex hal-01010667v1

Theoretical tools to solve the axisymmetric Maxwell equations

Franck Assous , Patrick Ciarlet , Simon Labrunie
Mathematical Methods in the Applied Sciences, 2002, 25 (1), pp.49-78. ⟨10.1002/mma.279⟩
Journal articles istex hal-00878222v1

Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: the Singular Complement Method

Franck Assous , Patrick Ciarlet , Jacques Segré
Journal of Computational Physics, 2000, 161 (1), pp.218-249. ⟨10.1006/jcph.2000.6499⟩
Journal articles istex hal-01010725v1

Singular electromagnetic fields: Inductive approach [Singularités électromagnétiques: Une approche inductive]

Franck Assous , Patrick Ciarlet , Emmanuelle Garcia
Comptes Rendus. Mathématique, 2005, 341 (10), pp.605-610. ⟨10.1016/j.crma.2005.09.034⟩
Journal articles istex hal-00876241v1
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A refined first-order expansion formula in Rn : Application to interpolation and finite element error estimates

Joël Chaskalovic , Franck Assous
Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, In press
Journal articles hal-03832065v1