2023
Trinh, N.N.B., Lenczner, M. An Asymptotic Electrostatic Model of an Array of Micro Mirrors. International Journal for Multiscale Computational Engineering, 10.1615. PDF
2022
Belkhir, W., Ratier, N., Nguyen, D. D., Lenczner, M.. Unification and combination of a class of traversal strategies made with pattern matching and fixed-points. Journal of Logical and Algebraic Methods in Programming, 100746. 2022. PDF
2020
Gaudiello, A., Lenczner, M.. A two-dimensional electrostatic model of interdigitated comb drive in longitudinal mode. SIAM Journal on Applied Mathematics, 80(2), 792-813. 2020. PDF
2019
Du, K., Domas, S., Lenczner, M. Actors with stretchable access patterns. Integration, the VLSI Journal. Volume 66, Pages 44-59,
2019 PDF
2017
Homam Issa, Egon Ostrosi, Michel Lenczner, Rabie Habib; Fuzzy holons for intelligent multi-scale design in cloud-based design for configurations. Journal of Intelligent Manufacturing. Volume 28, Issue 5, pp 1219–1247, 2017.
2016
Lenczner, M., Yang, B., Bontempi, A., Teyssieux, D., Cogan, S., Janus, P., Köhler B., Ratier, N. A SThM probe optimization and its time-space multi-scale modeling. Mechatronics Volume 40, December 2016, Pages 251–263 (2016).
F. Vernotte, M. Lenczner, P.-Y. Bourgeois, E. Rubiola. The Parabolic variance (PVAR), a wavelet variance based on least-square fit. arXiv:1506.00687v1 (2015), IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control. Volume: 63, Issue: 4, 2016. PDF
E. Rubiola, M. Lenczner, P.-Y. Bourgeois, F. Vernotte. The Omega counter, a frequency counter based on the Linear Regression. arXiv:1506.05009 (2015). IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control. Volume: 63, Issue: 7, 2016. PDF
2015
Nguyen, T. T., Lenczner, M., & Brassart, M. Homogenization of the one-dimensional wave equation. In Numerical Mathematics and Advanced Applications-ENUMATH 2013 (pp. 377-385). Springer International Publishing (2015). PDF
H. Issa, E. Ostrosi, M. Lenczner, R. Habib. Fuzzy holons for intelligent multi-scale design in cloud-based design for configurations. Journal of Intelligent Manufacturing. DOI 10.1007/s10845-015-1119-4, (2015).
2014
W. Belkhir, A. Giorgetti, M. Lenczner, Rewriting and Symbolic Transformations for Multiscale Methods. Journal of Symbolic Computation, vol. 65, pp. 49–78 (2014) and arXiv:1311.0904. PDF
T.T. Nguyen, M. Lenczner, M. Brassart, Homogenization of the spectral equation in one-dimension, arXiv:1310.4064 (2013). International Journal for Multiscale Computational Engineering, vol 12, 5, pp.423-450, (2014). PDF
Y. Yakoubi, M. Lenczner, N. Ratier, Semi-Decentralized Approximation of Optimal Control of Distributed Systems Based on a Functional Calculus, arXiv:1310.7100 (2013). Volume 36, Issue 4, Pages 422–446 (2015). PDF
G. Goavec-Merou, N., J-M. Friedt, P. Sandoz, G. Martin, M. Lenczner, and S. Ballandras, Fast contactless vibrating structure characterization using real time FPGA-based digital signal processing: demonstrations with a passive wireless acoustic delay line probe and vision, Review of Scientific Instruments 85, 015109 (2014). PDF
2013
T.T. Nguyen, M. Lenczner, M. Brassart, Homogenization of the one-dimensional wave equation, arXiv:1312.0654, 2013 PDF
2012
H. Hui, E. Pillet, M. Lenczner, S. Cogan, A two-scale model for one-dimensional arrays of cantilevers, its updating and parameter identification. Mechatronics, vol. 22, n° 5, 2012, pp. 538–543. PDF
M. Lenczner, G. Montseny, Y. Yakoubi, Diffusive Realizations for Solutions of Some Operator Equations : the One-Dimensional Case. Mathematics of Computation, vol. 81, n° 277, pp. 319–344, 2012. PDF
2011
W. Belkhir, A. Giorgetti, M. Lenczner, Rewriting and Symbolic Transformations for Multiscale Methods. arXiv: 1101.3218 (2011). PDF
2010
Lenczner M., Ratier N., Pillet E., Cogan S., Hui H. and Yakoubi Y. Modelling, Identification and Control of a Micro-cantilever Array, Book chapter in NanoSystems & Systems on Chips, Modeling, Control and Estimation, Edited by Alina Voda, John Wiley & Sons. PDF
M. Brassart, M. Lenczner, A two-scale model for the periodic homogenization of the wave equation, J. Math. Pures Appl. 93 (2010) 474–517. PDF
M. Lenczner, G. Montseny, Y. Yakoubi, Diffusive Realizations for Solutions of Some Operator Equations : the One-Dimensional Case. Math. Comp. 81 (2012), 319-344. PDF
2009
M. Lenczner, Y. Yakoubi, Semi-decentralized Approximation of Optimal Control for Partial Differential Equations in Bounded Domains. Comptes Rendus Mécanique, vol. 337, Issue 4, pp. 245-250, (2009). PDF
M. Lenczner, S. Cogan, E. Pillet, H. Hui, A Multiscale Model of Cantilever Arrays and its Updating. Sensors & Transducers Journal, Vol.7, Oct. 2009, pp. 125-135. PDF
M. Brassart, M. Lenczner, A two-scale model for the wave equation with oscillating coefficients and data. Comptes Rendus Mathématiques, vol. 347, n° 23-24, pp. 1439-1442, 2009. PDF
2007
M. Lenczner, A Multiscale Model for Atomic Force Microscope Array Mechanical behavior, Applied Physics Letters, vol. 90, pp. 091908, (2007). PDF
M. Lenczner, R.C. Smith, A two-scale model for an array of AFM’s cantilever in the static case, Mathematical and Computer Modelling, vol. 46, n° 5-6 , pp. 776-805, (2007). PDF
M. Lenczner, and C. Prieur, Asymptotic model of an active mirror, Int. J. of Tomography Statistics, vol. 5, pp. 68-72, 2007.
2006
Lenczner M., Homogenization of linear spatially periodic electronic circuits, Networks and Heterogeneous Media, vol. 1, n° 3, pp. 467-494, (2006). PDF
2005
Lenczner M., Montseny G., Diffusive realization of operator solutions of certain operational partial differential equations, C. R. Mathematique de l’Acad. des Sci., vol. 341, n°12, pp. 737-740, (2005). PDF
2004
Lenczner M., Mercier D., Homogenization of periodic electrical network including voltage to current amplifiers, SIAM Journal of Multiscale Modelling and Simulation, vol. 2, n°3, pp. 359 –397, (2004). PDF
2003
Kader M., Lenczner M. and Mrcarica Z., Distributed optimal control of vibrations : A high frequency approximation approach. Smart Materials and Structures, Vol 12, n°3, pp 437-446 (2003). PDF
2001
Kader M., Lenczner M. and Mrcarica Z. Distributed control based on distributed electronic circuits. Application to vibration control, Journal of Microelectronic Reliability, 41, p. 1857-1866 (2001).
Lenczner M. et G. Senouci, Modelling of a thin piezoelectric shell coupled with a distributed electronic circuit by distributed piezoelectric transducers, Partial Differential Equations on Multistructures, Luminy, 19-23 Avril 1999. Edited by F. Ali Mehmeti, J. von Below et S. Nicaise, Lecture notes in pure and applied mathematics, vol. 219, pp. 227-248 (2001).
2000
Mahamane K., Lenczner M. et Mrcarica Z. Approximation d'un contrôle optimal distribue par un circuit electronique reparti : Application au contrôle de vibrations. C.R. Acad. Sci. Paris, Serie II b, t. 328, n° 7, p. 547-553, (2000). PDF
Canon E. et Lenczner M. Modelling of thin elastic plates with small piezoelectric inclusions and distributed electronic circuits. Models for inclusions that are small with respect to the thickness of the plate. Journal of Elasticity n°55, p. 111-141 (1999). PDF
1999
Lenczner M. et Senouci‑Bereksi G. Homogenization of electrical network including voltage to voltage amplifiers. Mathematical Models and Methods in Applied Sciences, Vol. 9, n° 6, pp 899-932, (1999). PDF
Lenczner M. Microsystèmes actifs distribues, Chapitre IX de l’ouvrage collectif « ARAGO 21 : Microsystèmes », Ed. Observatoire Français des Techniques Avancees, (1999).
Canon E. et Lenczner M. Modelling of thin elastic plates with small piezoelectric inclusions and distributed electronic circuits. Models for inclusions that are small with respect to the thickness of the plate. Journal of Elasticity n°55, p. 111-141 (1999). PDF
1998
Canon E. et Lenczner M. Deux modèles de plaques minces avec inclusions piezoelectriques et circuits electroniques distribues, C.R. Acad. Sci. Paris Serie II b, t. 326, pp 793-798, (1998). PDF
Mahamane K. et Lenczner M. Parametrisation de stabilisateurs H‑infini sous optimaux. Application à l’equation des ondes, C. R. Acad. Sci. Paris, Serie I, t. 327, pp 179-183, (1998). PDF
1997
Lenczner M. Homogeneisation d'un circuit electrique. C. R. Acad. Sci. Paris, Serie II b, t. 324, n° 9, pp. 537-542, (1997). PDF
Laydi R. et Lenczner M. Equation de Navier‑Stokes dans un domaine mince avec viscosite evanescente. C. R. Acad. Sci. Paris, t. 326, Serie I, pp. 127‑130, (1997). PDF
Canon E. et Lenczner M. Models of elastic plates with piezoelectric inclusions, Part 1 Models without homogenization, Mathernatical and Computer Modeling, vol. 26, 5, pp. 79‑106, (1997). PDF
1996
Benabdallah A. et Lenczner M. Estimation du taux de decroissance pour la solution de problèmes de stabilisation, application à la stabilisation de l'equation des ondes. Mathematical Modelling and Numerical Analysis, vol. 30, n 5, pp. 607‑635, (1996).
Lenczner M. Modelling and optimization of a plate including a distribution of piezoelectric transducers and an electronic network. Journal of Structural Control, vol. 3, n° 1‑2, pp. 53‑77, (1996).
1995
Benabdallah A. et Lenczner M. Une methode d'estimation du taux de decroissance pour des problèmes de stabilisation, application au contrôle optimal de l'equation des ondes par un contrôle de Dirichlet. C. R. Acad. Sci. Paris, t. 321, Serie I, pp. 875‑878, (1995).
1994
Benabdallah A. et Lenczner M. Stabilisation de l'equation des ondes par un contrôle optimal distribue, C. R. Acad. Sci. Paris, t. 319, Serie I, pp. 691‑696, (1994).
1993
Lenczner M. Une Methode de calcul du coefficient de singularite pour la solution du problème de Laplace dans un domaine dièdral, Modelisation Math. Anal. Numer., n° 4, pp 395‑420, (1993).
1992
Lenczner M., Caracterisation des fonctions singulières duales, et calcul du coefficient de singularite de la solution de l'equation de Laplace 3-D dans un domaine fissure. C. R. Acad. Sci. Paris, t. 314, Serie I, pp. 265-270, (1992).