14 citations · 16 across the 3 of their papers we have counts for
4 papers
Frenet Immersed Finite Element Spaces on Triangular Meshes
Yuanhui Lin, Xu Zhang, Tao Lin
In this paper, we develop geometry-conforming immersed finite element (IFE) spaces on triangular meshes for elliptic interface problems. The construction is built on a Frenet-Serre…
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…
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…
A High Order Geometry Conforming Immersed Finite Element for Elliptic Interface Problems
Slimane Adjerid, Tao Lin, Haroun Meghaichi
We present a high order immersed finite element (IFE) method for solving the elliptic interface problem with interface-independent meshes. The IFE functions developed here satisfy…