259 citations · 554 across the 15 of their papers we have counts for
5 papers · 1 filter
Superconvergence of Immersed Finite Element Methods for Interface Problems
Waixiang Cao, Xu Zhang, Zhimin Zhang
In this article, we study superconvergence properties of immersed finite element methods for the one dimensional elliptic interface problem. Due to low global regularity of the sol…
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…
Discontinuous Galerkin Immersed Finite Element Methods for Parabolic Interface Problems
Qing Yang, Xu Zhang
In this article, interior penalty discontinuous Galerkin methods using immersed finite element functions are employed to solve parabolic interface problems. Typical semi-discrete a…
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…