معرفی
Luiz Faria is a research scientist at ENSTA Paris, affiliated with the Applied Mathematics Unit (UMA) and the POEMS (Propagation des Ondes : Étude Mathématique et Simulation) research team at INRIA Saclay. His work focuses on numerical methods for partial differential equations, integral equations, and scientific computing, with applications in wave propagation, electromagnetic scattering, and detonation theory.
- Ph.D. in Applied Mathematics and Computational Sciences, KAUST (2015)
- M.S. in Applied Mathematics and Computational Sciences, KAUST (2011)
- B.S. in Mathematics, Texas A&M University (2010)
His research spans:
- Wave Propagation: Advanced boundary integral equation methods for electromagnetic and water wave scattering, including complex-scaled formulations and field-only approaches
- Detonation Theory: Asymptotic analysis of detonation instabilities, set-valued solutions, and thermochemical loss modeling
- Numerical Methods: High-order quadrature techniques, polynomial density interpolation, and convolution quadrature algorithms
Recent publications highlight:
- Development of field-only boundary integral equations for electromagnetic scattering in spherical geometries
- Efficient polynomial interpolation methods for singular volume potential evaluation
- Studies on nonlinear elliptic equations with variable exponents and convection terms
He contributes to open-source software like DataFlowTasks.jl, and applies his methodologies to problems in inhomogeneous scattering and reactive media dynamics. His work bridges theoretical mathematics with industrial applications in energy, transportation, and defense technologies.
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