54 citations · 150 across the 13 of their papers we have counts for
4 papers · 2 filters
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…
Error Estimates for Approximations of Distributed Order Time Fractional Diffusion with Nonsmooth Data
Bangti Jin, Raytcho Lazarov, Dongwoo Sheen +1
In this work, we consider the numerical solution of an initial boundary value problem for the distributed order time fractional diffusion equation. The model arises in the mathemat…
Stable cheapest nonconforming finite elements for the Stokes equations
Sihwan Kim, Jaeryun Yim, Dongwoo Sheen
We introduce two pairs of stable cheapest nonconforming finite element space pairs to approximate the Stokes equations. One pair has each component of its velocity field to be appr…
Nonconforming finite element method applied to the driven cavity problem
Roktaek Lim, Dongwoo Sheen
A cheapest stable nonconforming finite element method is presented for solving the incompressible flow in a square cavity without smoothing the corner singularities. The stable che…