Aymen Laadhari, Ahmad Deeb. A Finite Element Approach For Modeling Biomembranes In Incompressible Power-Law Flow. AIP Conference Proceedings. The 9th International Conference on Modeling, Simulation and Applied Optimization. Accepted, 2022. paper_rbc_22 We present a numerical method to model the dynamics of inextensible biomembranes in a quasi-Newtonian incompressible flow, which better describes hemorheology in…
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Aymen Laadhari, Yves Barral, Gábor Székely A data-driven optimal control method for endoplasmic reticulum membrane compartmentalization in budding yeast cells. Mathematical Methods in the Applied Sciences. John Wiley & Sons, Ltd. In press, pp. 1-22, 2022. DOI: 10.1002/mma.9021 Laadhari_yeast_comput_22 In this paper, we propose a variational data assimilation approach for including data measurements…
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Aymen Laadhari . Implicit Finite Element methodology for the numerical modeling of incompressible two-fluid flows with moving hyperelastic interface. Applied Mathematics and Computation. Volume 333C, pp. 376-400, 2018. L_AppMathComputations_18 We present a numerical methodology based on the use of the Newton and level set methods and tailored for the simulation of incompressible immiscible two-fluid flows with…
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Aymen Laadhari . An operator-splitting strategy for Fluid-Structure Interaction problems with thin elastic structures in an incompressible Newtonian flow. Applied Mathematics Letters, Volume 81, July 2018, Pages 35-43. L_AML_18 We present a computational framework based on the use of the Newton and level set methods to model fluid–structure interaction problems involving elastic membranes freely suspended…
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Aymen Laadhari, Pierre Saramito, Chaouqi Misbah, and Gabor Szekely. Fully implicit methodology for the dynamics of biomembranes and capillary interfaces by combining the level set and Newton methods. Journal of Computational Physics, 343:271–299,2017. LSMS_JCP2017 This framework is concerned with the numerical modeling of the dynamics of individual biomembranes and capillary interfaces in a surrounding…
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Aymen Laadhari . Exact Newton method with third-order convergence to model the dynamics of bubbles in incompressible flow. Applied Mathematics Letters, 69C:138–145, 2017. L_AML2017 In this work, we present a computational framework based on the use of the Newton and level set methods and tailored for the modeling of bubbles with surface tension in a surrounding Newtonian…
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Aymen Laadhari and Gábor Székely. Eulerian finite element method for the numerical modeling of fluid dynamics of natural and pathological aortic valves. Journal of Computational and Applied Mathematics, 319C:236–261, 2017. LS_JCAM2017 We present a finite element methodology tailored for the simulation of pulsatile flow in the full aorta and sinus of Valsalva interacting with highly deformable…
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Aymen Laadhari and Gábor Székely. Fully implicit finite element method for the modeling of free surface flows with surface tension effect. International Journal for Numerical Methods in Engineering, John Wiley & Sons Ltd, 111(11):1097–1074, 14 September 2017. LS_IJNME2017 A new approach based on the use of the Newton and level set methods allows to follow…
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