3 papers
math.NA2026
An Immersed Interior Penalty Method for Biharmonic Interface Problems
Yuan Chen, Xu Zhang
In this paper, we introduce an immersed interior penalty method for solving two-dimensional biharmonic interface problems on unfitted meshes. To accommodate the biharmonic in…
math.NA2026
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…
math.NA2025
An Enriched Immersed Finite Element Method for 3D Interface Problems
Ruchi Guo, Xu Zhang
We introduce an enriched immersed finite element method for addressing interface problems characterized by general non-homogeneous jump conditions. Unlike many existing unfitted me…