14 citations · 22 across the 4 of their papers we have counts for
5 papers
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…
A unified immersed finite element error analysis for one-dimensional interface problems
Slimane Adjerid, Tao Lin, Haroun Meghaichi
It has been noted that the traditional scaling argument cannot be directly applied to the error analysis of immersed finite elements (IFE) because, in general, the spaces on the re…
An Enriched Immersed Finite Element Method for Interface Problems with Nonhomogeneous Jump Conditions
Slimane Adjerid, Ivo Babuska, Ruchi Guo +1
This article presents and analyzes a -degree immersed finite element (IFE) method for elliptic interface problems with nonhomogeneous jump conditions. In this method, jump…