Journal publications

 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. VernotteThe 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

E. Canon, M. Lenczner, Modelling of thin isotropic elastic plates with small piezoelectric inclusions and distributed electric circuits. Models for inclusions larger or comparable to the thickness of the plate. Mathematical Methods in the Applied Sciences, vol. 38, pp 66–86 (2014). PDF
B. Yang, W. Belkhir, M. Lenczner, Computer-Aided Derivation of Multi-scale Models: A Rewriting Framework,  International Journal for Multiscale Computational Engineering 12 (2): 91–114 (2014). and arXiv:1302.2224 (2013). 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 CalculusarXiv: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 CaseMath. 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 dataComptes Rendus Mathématiques, vol. 347, n° 23-24, pp. 1439-1442, 2009. PDF

2007

M. Lenczner, A Multiscale Model for Atomic Force Microscope Array Mechanical behaviorApplied 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 caseMathematical 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 plateJournal 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 plateJournal 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 ondesC. R. Acad. Sci. Paris, Serie I, t. 327, pp 179-183, (1998). PDF

1997

Lenczner M. Homogeneisation d'un circuit electriqueC. 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 homogenizationMathernatical 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 networkJournal 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).