259 citations · 538 across the 14 of their papers we have counts for
4 papers · 1 filter
A nonconforming immersed finite element method for elliptic interface problems
Tao Lin, Dongwoo Sheen, Xu Zhang
A new immersed finite element (IFE) method is developed for second-order elliptic problems with discontinuous diffusion coefficient. The IFE space is constructed based on the rotat…
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…
A Priori Error Estimates for Some Discontinuous Galerkin Immersed Finite Element Methods
Tao Lin, Qing Yang, Xu Zhang
In this paper, we derive a priori error estimates for a class of interior penalty discontinuous Galerkin (DG) methods using immersed finite element (IFE) functions for a classic se…
Partially Penalized Immersed Finite Element Methods for Elliptic Interface Problems
Tao Lin, Yanping Lin, Xu Zhang
This article presents new immersed finite element (IFE) methods for solving the popular second order elliptic interface problems on structured Cartesian meshes even if the involved…