Professional summary
I develop advanced mathematical models and numerical methods for engineering, biomedical and cardiovascular applications, with a focus on predictive simulation and scientific computing.
• Interdisciplinary expertise in mathematical modeling and computational science
• Ability to manage and deliver multiple high-level research projects
• Effective communication in international and multidisciplinary environments
• Proven teaching experience at undergraduate and graduate levels
WHAT I DO
Main research interests:
My research focuses on the mathematical modeling and numerical simulation of complex physical and biomedical systems across multiple spatial and temporal scales.

Mathematics & Computational Science
- Numerical Analysis and Convergence Analysis
- Partial Differential Equations (PDEs)
- Error Analysis
- Scientific Machine Learning / PINNs
- Scientific Computing
- Computational Fluid Dynamics
- Shape Optimization
- Nonlinear Elasticity and Active Solid Mechanics
- PDE-Constrained Optimization
- Inverse Problems
- Multiphysics Modeling
- Parallel Algorithms

Methodologies
- Mixed Finite Element Method
- Continuous & Discontinuous Galerkin
- Computational Fluid-Structure Interaction methods
- Level set method
- Eulerian methods
- Boundary Integral Method
- Anisotropic mesh adaptation
- Physics-Informed Neural Networks (PINNs)
- Hybrid methodologies

Applications
- Cerebro-cardiovascular phenomena
- Hemodynamics
- Healthy and pathological heart valves
- Minimally invasive treatment plans
- Red blood cells
- Vesicles and biomembranes
- Complex flows: Viscoelastic / Viscoplastic / Elasto-viscoplastic
- Yeast cells
LIST OF PUBLICATIONS
Research output
ARTICLE 27
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[…]
Read moreARTICLE 26
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[…]
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