Hybrid Weak Galerkin and Physics-Encoded Neural Networks: a sparse local-to-global extension framework for implicit multiphase flow simulation A. Laadhari, Applied Mathematics and Computation (Elsevier). 533, 130281. Available online 25 August 2026. Abstract An efficient, conservative hybrid weak Galerkin finite element methodology is proposed to simulate multiphase flows. An advection-oriented weak gradient yields a flow-sensitive stabilized…
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M. Abdelbagi; A. Laadhari. Cubic-Convergent Newton-Type Methods for Nonlinear Differential Equations: Applications to Navier–Stokes via Finite Elements. Journal of Physics: Conference Series. IOP Publishing. Accepted. 1-12 (2025). DOI 10.100/… We investigate cubic-convergent Newton-type methods for nonlinear differential problems, focusing on the variants of Kou, Homeier, and Weerakoon and their multidimensional formulations. The schemes are validated…
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Stabilized weak-gradient discontinuous finite elements with optimal error estimates for second-order elliptic PDEs Laadhari, Aymen « Stabilized weak-gradient discontinuous finite elements with optimal error estimates for second-order elliptic PDEs, » Mathematical Modelling and Numerical Simulation with Applications: 5: 3, 644-680, 2025. ABSTRACT:This work introduces an accurate finite element approach employing a new stabilized discrete weak gradient, designed for…
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A. Laadhari; H. Temimi; Efficient finite element strategy using enhanced high-order and second-derivative-free variants of Newton’s method. Applied Mathematics and Computation, Elsevier. Volume 486, 129058 (2025). DOI https://doi.org/10.1016/j.amc.2024.129058 In this work, we propose a stable finite element approximation by extending higher-order Newton’s method to the multidimensional case for solving nonlinear systems of partial differential equations.This…
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M. Kirane; A. Fino; S. Kerbal; A. Laadhari Non-existence of global weak solutions to semi-linear wave equations involving time-dependent structural damping terms. Applied and Computational Mathematics, 23 (1), pp. 110 – 129 (2024). DOI 10.30546/1683-6154.23.1.2024.110. Laadhari-ACM-24
A. Laadhari; A. Deeb; B. Kaoui; Hydrodynamics simulation of red blood cells:Employing a penalty method with double jump composition of lower order time integrator. Mathematical Methods in the Applied Sciences. Wiley. Accepted, in press. 1-27 (2023). DOI 10.1002/mma.9607. Laadhari-mmas-9607 We propose a numerical framework tailored for simulating the dynamics of vesicles with inextensible…
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M. Kassim; M. Alqahtani; N-E Tatar; and A. Laadhari Nonexistence results for a sequential fractional differential problem, Mathematical Methods in the Applied Sciences published, John Wiley & Sons Ltd. 46 (2023), 16305-16317. DOI https://doi.org/10.1002/mma.9451 KasAlqTatLaa_23 We study in this article a class of sequential fractional differential inequalities involving Caputo fractional derivatives with different orders. The nonexistence…
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Aymen Laadhari; Ahmad Deeb Computational Modeling of Individual Red Blood Cell Dynamics Using Flow Composition and Adaptive Time-Stepping Strategies. Symmetry. Symmetry, 15(6), 1138 (2023). laadhari_composed_bdf2_23 We propose in this article a finite element approximation to study the dynamic behavior of deformable vesicles mimicking red blood cells immersed in a non-Newtonian Casson fluid with…
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