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Pages
Posts
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portfolio
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publications
Theoretical Convergence of Numerical Schemes for Coupled 3D-1D Partial Differential Equations
Published in Rice University, 2025
This paper analyzes numerical schemes for a steady state coupled 3D-1D diffusion-advection equations, establishing the existence and uniqueness of the weak solution and discrete solution, and some convergence results.
Recommended citation: Uzochi Gideon, MA Thesis. (2025). "Theoretical Convergence of Numerical Schemes for Coupled 3D-1D Partial Differential Equations." Rice University.
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talks
Analysis of FEM methods for coupled 3D-1D diffusion-advection PDEs (Poster)
Published:
Poster on numerical analysis of coupled PDEs with mixed dimensionality, presenting a finite element scheme with proven existence, uniqueness, and convergence.
Theoretical Convergence of Numerical Schemes for Coupled 3D-1D PDEs (Poster)
Published:
Poster on discretizing coupled 3D-1D advection-diffusion PDEs using finite element and hybrid FEM–DG schemes with rigorous analysis of boundary conditions.
Formulation and Analysis of Numerical Schemes for Coupled 3D-1D PDEs
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Talk on modeling flows in porous media with 3D-1D coupled equations, using finite element and discontinuous Galerkin methods, with convergence, existence, and uniqueness analysis.
teaching
Teaching Experience
Teaching, Phostine Premium Schools, 2022
I have one year of teaching experience where I assisted learners in a vaeirty of courses.
My responsibilities included:
Graduate Grader
Teaching, Department of Computational & Applied Mathematics, Rice University, 2023
I currently serve as a graduate grader in the Department of Computational & Applied Mathematics. My responsibilities include: