An heuristic method for solving an inverse problem in semiconductors governed by a nonlinear coupled system

El Yazidi, Youness; Ellabib, Abdellatif

doi:10.22034/cmde.2025.62043.2708

فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری

تعداد نشریات	45
تعداد شماره‌ها	1,493
تعداد مقالات	18,210
تعداد مشاهده مقاله	58,935,004
تعداد دریافت فایل اصل مقاله	20,393,379

	An heuristic method for solving an inverse problem in semiconductors governed by a nonlinear coupled system
Computational Methods for Differential Equations
مقاله 7، دوره 14، شماره 2، تیر 2026، صفحه 606-615 اصل مقاله (542.91 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.62043.2708
نویسندگان
Youness El Yazidi^* ¹؛ Abdellatif Ellabib²
¹Research Laboratory in Numerical Analysis and Nonlinear Analysis (LaR2A) Department of Mathematics, Faculty of Sciences, University Abdelmalek Essaadi, BP 2121 M'Hannech II 93030 Tetouan, Morocco.
²Laboratory of Applied Mathematics and Computer Science, Faculty of Science and Technology, Cady Ayyad University, Marrakesh, Morocco.
چکیده
In this work, we utilize a coupled system to describe the carrier density in the Metal-Semiconductor Field-Effect Transistor (MESFET) device. To identify the depletion layer in this semiconductor, we define a cost functional $J$, and then use it to derive the shape optimization problem, for which we prove the existence of a solution. We develop an approach to solve this optimization problem using the finite element method combined with particle swarm optimization. Finally, we present several numerical examples to demonstrate the robustness of our proposed algorithm in identifying the depletion layer in the MESFET device.
کلیدواژه‌ها
Free boundary problem؛ Shape optimization؛ Finite element method؛ Particle swarm optimization

مراجع
[1] J. Abouchabaka, R. Aboulaich, and A. Souissi, Numerical approach of a free boundary in the junction field effect transistor – MESFET, Math. Comput. Simul., 47 (1998), 531–539. [2] J. Abouchabaka, R. Aboulaich, O. Guennoun, A. Nachaoui, and A. Souissii, Shape optimization for a simulation of a semiconductor problem, Math. Comput. Simul., 56 (2001), 1–16. [3] J. Abouchabaka, R. Aboulaich, A. Nachaoui, and A. Souissi, A decoupled algorithm for a drift-diffusion model, Math. Method. Appl. Sci., 28 (2005), 1291–1313. [4] A. Boulkhemair and A. Chakib, On the Uniform Poincar´e Inequality, Commun. Partial Differ. Equ., 32(9) (2007), 1439-1447. [5] Y. El Yazidi and A. Ellabib, Augmented Lagrangian approach for a bilateral free boundary problem. J. Appl. Math. Comput., 67, (2021), 69-88. [6] Y. El Yazidi and A. Ellabib, An iterative method for optimal control of bilateral free boundaries problem, Math. Methods Appl. Sci., 44(14), (2021), 11664-11683. [7] Y. El Yazidi and A. Ellabib, A new hybrid method for shape optimization with application to semiconductor equations, Numer. Algebra Control Optim., 12(4), (2021), 763-781. [8] Y. El Yazidi and A. Ellabib, A fuzzy particle swarm optimization method with application to shape design problem, RAIRO Oper. Res., 57(5) (2023), 2819-2832. [9] A. Charkaoui and Y. El Yazidi, Level Set and Optimal Control for the Inverse Inclusion Reconstruction in Electrical Impedance Tomography Modeling, Int. J. Comput. Methods, 21(01) (2024), 2350020. [10] J. Haslinger and R. A. E. Mäkinen, Introduction to Shape Optimization, SIAM, 2003. [11] A. Henrot and M. Pierre, Variation et optimisation de formes, Springer-Verlag Berlin Heidelberg, 2005. [12] D. E. Goldberg, Genetic Algorithm in Search, Optimisation, and Machine Learning, Addison-Wesley Longman Publishing Co, 1989. [13] M. Marin, An uniqueness result for body with voids in linear thermoelasticity, Rend. Mat. Appl., 17(7) (1997), 103–113. [14] M. Marin and G. Stan, Some Basic Results in Nonlinear Theory of Dipolar Porous Materials, Journal of Porous Media, 16(11) (2013). [15] P. A. Markowich, The Stationary Semiconductor Device Equations, Springer Vienna, 2013. [16] C. Maurice, Particle Swarm Optimization, ISTE, 2006. [17] G. Nakamura, G. Uhlmann, and J. N. Wang, Reconstruction of cracks in an inhomogeneous anisotropic medium using point sources, Adv. in Appl. Math., 34(3) (2005), 591–615. [18] P. O. Persson and G. Strang, A Simple Mesh Generator in MATLAB, SIAM Review, 46 (2004). [19] O. Pironneau, Optimal shape design for elliptic systems, Springer Berlin Heidelberg, 1982. [20] H. Prautzsch, W. Boehm, and M. Paluszny, Bézier and B-Spline Techniques, Springer, Berlin, Heidelberg, 2002. [21] W. Rudin, Functional Analysis, McGraw-Hill, 1991. [22] S. Salhi, Heuristic Search: The Emerging Science of Problem Solving, Palgrave Macmillan, 2017. [23] S. H. Sun, T. T. Yu, T. T. Nguyen, E. Atroshchenko, and T. Q. Bui, Structural shape optimization by IGABEM and particle swarm optimization algorithm, Eng. Anal. Bound. Elem., 88 (2018), 26–40. [24] S. M. Sze, Semiconductor Devices: Physics and Technology, John Wiley & Sons Singapore Pte. Limited, 2012. [25] Y. Tian, S. L. Xu, P. Chen, and Y. P. Xu, Spectrum Reconstruction from Multiple Band Spectrum Data using an Inversion Technique, Int. J. Nonlinear Sci. Numer. Simul., 10 (2009), 1281–1290.
آمار تعداد مشاهده مقاله: 246 تعداد دریافت فایل اصل مقاله: 241

سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب

پیوندهای مفید

آمار

An heuristic method for solving an inverse problem in semiconductors governed by a nonlinear coupled system