53 citations · 53 across the 4 of their papers we have counts for
5 papers
Geometry-Conforming Finite Element Methods for Interface Problems on Fitted and Unfitted Meshes
Yuanhui Lin, Tao Lin, Xu Zhang +1
We develop an arbitrary-degree geometry-conforming finite element (GC-FE) framework for two-dimensional elliptic boundary value and interface problems on curved domains. Using the…
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…
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…
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…
Partially Penalized Immersed Finite Element Methods for Parabolic Interface Problems
Tao Lin, Qing Yang, Xu Zhang
We present partially penalized immersed finite element methods for solving parabolic interface problems on Cartesian meshes. Typical semi-discrete and fully discrete schemes are di…