2 papers
math.NA2025
Construction of Basis Functions for the Geometry Conforming Immersed Finite Element Method
Slimane Adjerid, Tao Lin, Haroun Meghaichi
The Frenet apparatus is a new framework for constructing high order geometry-conforming immersed finite element functions for interface problems. In this report, we present a proce…
math.NA2024
The Frenet immersed finite element method for elliptic interface problems: An error analysis
Slimane Adjerid, Tao Lin, Haroun Meghaichi
This article presents an error analysis of the recently introduced Frenet immersed finite element (IFE) method. The Frenet IFE space employed in this method is constructed to be lo…