Biography
I am a PhD candidate in Mathematics at Virginia Tech, my research centers around immersed finite element methods for multi-physics models.
Interests
- Numerical analysis
- Finite element method
- Partial differential equations
Education
PhD in Mathematics, 2024
Virginia Tech
MS in Mathematics, 2019
Virginia Tech
BSc in Mathematics, 2016
Unviersity of Science and Technology Houari Boumediene
Recent Publications
(2024).
A unified immersed finite element error analysis for one-dimensional interface problems.
BIT Numerical Mathematics.
(2024).
A High Order Geometry Conforming Immersed Finite Element for Elliptic Interface Problems.
Computer Methods in Applied Mechanics and Engineering, Volume 420.
(2022).
An immersed discontinuous Galerkin method for wave propagation in acoustic elastic media.
Journal of Computational Physics, Volume 472.
Teaching
During my time in Virginia Tech, I have been instructor of record for the following courses:
- Calc. 1 (MATH 1225): Fall ‘18, Fall ‘18, Summer ‘21, Summer ‘22, Summer ‘23, Fall ‘23.
- Calc. 2 (MATH 1226): Spring ‘19.
- Linear Algebra (MATH 2114): Spring ‘20.
- Multivariable Calc. (MATH 2204): Summer ‘19.
- Intro to Numerical analysis II (MATH 4446): Summer ‘20.
- Operational methods (MATH 4564): Summer ‘20, Fall ‘20, Spring ‘21, Summer ‘21, Fall ‘21, Spring ‘22, Summer ‘22, Fall ‘22.