Selected Works

Posters

• Structure-Preserving Finite Element Schemes for the Euler–Poisson Equations

Slides

• A comparison of finite element spaces for the discontinuous Galerkin approximation of the Maxwell eigenvalue problem in first-order form, presented at SIAM TX-LA 2024
• Modeling Ejecta from Shocked Metals, presented at the Los Alamos National Lab Computational Physics Summer Workshop final presentations in Summer 2023
• Structure-Preserving Finite Element Schemes for the Euler–Poisson Equations, presented at the 2023 Finite Element Rodeo

Notes

• Finite differences in 2D and the Ritz–Galerkin method
• The 1d Riemann problem
• Sobolev spaces
• Multivariable calculus

Numerical Analysis Qualifying Exam Solutions

• January 2024 (incomplete)