Publications

Publications List (in chronological order)

  • Peer Reviewed Journal Papers
  • Peer Reviewed Conference Papers
  • Book Chapters

  • Belhamadia Y. and Seaid M. (2024), A mixed finite element method for nonlinear radiation-conduction equations in optically thick anisotropic media. Mathematics and Computers in Simulation, 216, 15-29. DOI: https://doi.org/10.1016/j.matcom.2023.08.031

  • Belhamadia Y. and Seaid M. (2023), Computing enhancement of the nonlinear SPN approximations of radiative heat transfer in participating material. Journal of Computational and Applied Mathematics 434, 115342. DOI: https://doi.org/10.1016/j.cam.2023.115342

  • Belhamadia Y. Deteix J., Jaffal-Mourtada B., and Yakoubi D. (2023), Existence and uniqueness for a convective phase change model with temperature-dependent viscosity. Journal of Mathematical Analysis and Applications 527 (2), 127559. DOI: https://doi.org/10.1016/j.jmaa.2023.127559

  • Belhamadia Y., Cassol G.O., and Dubljevic S. (2023), Numerical modelling of hyperbolic phase change problems: Application to continuous casting. International Journal of Heat and Mass Transfer 209, 124042. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2023.124042

  • Akil M., Soufyane A., and Y Belhamadia (2023), Stabilization Results of a Piezoelectric Beams with Partial Viscous Dampings and Under Lorenz Gauge Condition. Applied Mathematics & Optimization 87 (2), 26. DOI: https://doi.org/10.1007/s00245-022-09935-3

  • Moutahir F., Belhamadia Y.,  El-Amrani M., and  Seaid M. (2022), Enhancing Computational Steel Solidification by a Nonlinear Transient Thermal Model. Lecture Notes in Computer Science series. Volume 13350, pp. 305–317. DOI: https://doi.org/10.1007/978-3-031-08751-6_22

  • Belhamadia Y., Briffard T. and Fortin A. (2022), Efficiency of parallel anisotropic mesh adaptation for the solution of the bidomain model in cardiac tissue. Journal of Computational Science 61, 101656. DOI: https://doi.org/10.1016/j.jocs.2022.101656

  • El Haddad, Y Belhamadia, J Deteix, D Yakoubi (2022), A projection scheme for phase change problems with convection. Computers & Mathematics with Applications 108, 109-122. DOI: https://doi.org/10.1016/j.camwa.2022.01.001

  • Alqasemi M. and Belhamadia Y. (2021), A Semi-implicit Backward Differentiation ADI Method for Solving Monodomain Model. Lecture Notes in Computer Science series. Part V, Volume 12746. DOI: https://doi.org/10.1007/978-3-030-77977-1_43

  • Belhamadia Y., Fortin A., and Briffard T. (2021), Application of parallel anisotropic mesh adaptation for solving monodomain cardiac model. AIP Conference Proceedings 2343 (1), 130013. DOI: https://doi.org/10.1063/5.0047870

  • Belhamadia Y., and Rammal Z. (2021), Efficiency of Semi-Implicit Alternating Direction Implicit Methods for Solving Cardiac Monodomain Model. Computers in Biology and Medicine. DOI: https://doi.org/10.1016/j.compbiomed.2020.104187

  • Hazim A., Belhamadia Y., and Dubljevic S. (2021), A Simulation Study of the Role of Mechanical Stretch in Arrhythmogenesis during Cardiac Alternans. Biophysical Journal 120 (1),109-121. DOI: https://doi.org/10.1016/j.bpj.2020.11.018

  • Belhamadia Y., Fortin A., and Briffard T. (2019), A two-dimensional adaptive remeshing method for solving melting and solidification problems with convection. Numerical Heat Transfer, Part A: Applications, 76:4, 179-197. DOI: https://doi.org/10.1080/10407782.2019.1627837

  • Hazim A., Belhamadia Y., and Dubljevic S. (2019), Effects of mechano-electrical feedback on the onset of alternans: A computational study. Chaos: An Interdisciplinary Journal of Nonlinear Science 29 (6), 063126. DOI: https://doi.org/10.1063/1.5095778

  • Belhamadia Y. and Grenier J. (2019), Modeling and simulation of hypothermia effects on cardiac electrical dynamics. PloS one 14 (5), e0216058. DOI: https://doi.org/10.1371/journal.pone.0216058

  • Hazim A., Belhamadia Y., and Dubljevic S. (2018), Mechanical perturbation control of cardiac alternans. Physical Review E. 97 (5), 052407. DOI: https://doi.org/10.1103/PhysRevE.97.052407

  • Rammal Z. and Belhamadia Y. (2017), Alternation Direction Implicit Method for the Aliev-Panfilov Monodomain Model, In Proceedings of the International Conference on Computational and Mathematical Methods in Science and Engineering.

  • Grenier J. and Belhamadia Y. (2016), Efficient Solver for Cardiac Cell Models. In Proceeding of the eleventh international conference on Numerical Analysis and Optimization.

  • Hazim A., Belhamadia Y., and Dubljevic S. (2016), Control of cardiac alternans in a realistic electromechanical model of cardiac tissue. In Proceedings of the 39th Conference of the Canadian Medical and Biological Engineering Society.

  • Hazim A., Belhamadia Y., and Dubljevic S. (2015), Annihilation of cardiac alternans based on electromechanical model for cardiac tissue. Computers in Biology and Medicine. 63(1) : 108–117. DOI: https://doi.org/10.1016/j.compbiomed.2015.05.011

  • Belhamadia Y., Fortin A., and Bourgault Y. (2014), On the Performance of Anisotropic Mesh Adaptation for Spiral and Scroll Wave Turbulence Dynamics In Reaction-Diffusion Systems. Journal of Computational and Applied Mathematics 271, 233–246. DOI: https://doi.org/10.1016/j.cam.2014.04.006

  • Izadi M., Belhamadia Y. and Dubljevic S. (2014), Dynamical Analysis of Melt Flow in Bridgman Process. Industrial & Engineering  Chemistry Research. 53(45): 17811–17817. DOI: https://doi.org/10.1021/ie503030z

  • Yapari F., Deshpande D., Belhamadia Y., and Dubljevic S. (2014), Control of cardiac alternans by mechanical and electrical feedback. Physical Review E 90, 012706. DOI: https://doi.org/10.1103/PhysRevE.90.012706

  • Hazim A., Belhamadia Y., and Dubljevic S. (2014), Control of Cardiac Alternans using Electrical Boundary Pacing and Spatially Distributed Perturbation Control. The 37th Conference of the Canadian Medical and Biological Engineering Society.

  • Aksikas I., Mohammadi L., Forbes J.F., Belhamadia Y. and Dubljevic, S. (2013), Optimal Control of a Catalytic Fixed-Bed Reactor With Catalyst Deactivation. Journal of Process Control. 23(10): 1508-1514. DOI: https://doi.org/10.1016/j.jprocont.2013.09.016

  • Belhamadia Y. (2013), Adaptive Meshes for Simulation of Inviscid Boussinesq Convection. In Proceedings of the 2nd Society of Engineering and Applied Sciences International Conference.

  • Grenier J. and Belhamadia Y. (2012), Nested Implicit Runge-Kutta Method for Simulating Cardiac Cell Models. International Journal of Bioelectromagnetism. 14(1): 40-45.

  • Belhamadia Y., Kane A., and Fortin A. (2012), An Enhanced Mathematical Model for Phase Change Problems with Natural Convection. International Journal of Numerical Analysis and Modeling, Series B. 3(2): 192-206.

  • Belhamadia Y., Kane A., and Fortin A. (2012), A Mixed Finite Element Formulation for Solving Phase Change Problems with Convection, In Proceedings of the 20th Annual Conference of the CFD Society of Canada.

  • Izadi, M., Belhamadia Y. and Dubljevic, S. (2012), Lagrangian Coherent Structures for Fluid Flow in Bridgman Process. In Proceedings of the 20th Annual Conference of the CFD Society of Canada.

  • Deshpande, D., Belhamadia, Y., and Dubljevic S. (2011), Cardiac Alternans Annihilation by Distributed Mechano-Electric Feedback (MEF). Conference Proceeding of the IEEE Engineering in Medicine and Biology Society. 259-262. 2011.

  • Rioux M., Bourgault Y., Belhamadia Y. and Rousseau O. (2011), Numerical Computations of Cardiac AP using Level Set Based Geometries., IEEE Xplore. Page(s): 81 – 86, 8th International Symposium on Noninvasive Functional Source Imaging of the Brain and Heart & 8th International Conference on Bioelectromagnetism. 2011.

  • Belhamadia Y. (2010), Recent Numerical Methods in Electrocardiology. New developments in Biomedical Engineering, ISBN978-953-7619-57-2. 2010. DOI: 10.5772/7619

  • Belhamadia Y. (2010), Mesh Adaptation in Electrocardiology. In Proceedings of the CRM-GIREF Conference, pages 7-13.

  • Belhamadia Y., Fortin A. and Bourgault Y (2010), Efficient Simulation of Scroll Wave Turbulence in a Three-Dimensional Reaction-Diffusion System. In Proceedings of the International Conference on Computational and Mathematical Methods in Science and Engineering. 173-180.

  • Belhamadia Y., Fortin A. and Bourgault Y. (2009), Towards Accurate Numerical Method for Monodomain Equations Using a Realistic Heart Geometry. Mathematical Biosciences. 220(2): 89-101. DOI: https://doi.org/10.1016/j.mbs.2009.05.003

  • Aksikas I., Forbes F. J., and Belhamadia Y. (2009), Optimal Control Design for Time-Varying Catalytic Reactors: A Riccati Equation-Based Approach. International Journal of Control. 82(7): 1219-1228. DOI: https://doi.org/10.1080/00207170802492381

  • Belhamadia Y., Bourgault Y. and Fortin A. (2009), Mathematical Simulation of the Electrical Activity of the Heart. In Proceedings of the 32nd Conference proceeding of the Canadian Medical and Biological Engineering Society.

  • Belhamadia Y. (2008), A Time-Dependent Adaptive Remeshing for Electrical Waves of the Heart. IEEE Transactions on Biomedical Engineering. 55(2, Part-1):443-452. DOI:10.1109/TBME.2007.905415

  • Belhamadia Y. (2008), An Efficient Computational Method for Simulation of the Two-dimensional Electrophysiological Waves. Conference Proceeding of the IEEE Engineering in Medicine and Biology Society. 5922–5925.

  • Wan R., Yang B., Belhamadia Y., Donelly B. and Muldrew K. (2006), Finite Element Modelling of Prostate Cryosurgery, In Proceedings of 7th International Symposium on Computer Methods in Biomechanics and Biomedical Engineering, ISBN 0-9549670-2-X. 2006.

  • Fortin A. and Belhamadia Y. (2005), Numerical Prediction of Freezing Fronts in Cryosurgery: Comparison with Experimental Results. Computer Methods in Biomechanics and Biomedical Engineering. 8(4):241-249. DOI: https://doi.org/10.1080/10255840500290028

  • Fortin A. and Belhamadia Y. (2005), Numerical Modeling of Phase Change Problems, Control and Boundary Analysis, Marcel Dekker. ISBN 1574445944. DOI: https://doi.org/10.1201/9781420027426

  • Belhamadia Y., Fortin A. and Chamberland É. (2004), Three-dimensional anisotropic mesh adaptation for phase change problems. Journal of Computational Physics. 201(2):753-770. DOI: https://doi.org/10.1016/j.jcp.2004.06.022

  • Belhamadia Y., Fortin A. and Chamberland É. (2004), Anisotropic mesh adaptation for the solution of the Stefan problem. Journal of Computational Physics. 194:233-255. DOI: https://doi.org/10.1016/j.jcp.2003.09.008