11 citations · 11 across the 4 of their papers we have counts for
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An asymptotically compatible unfitted finite element methods for nonlocal elliptic Interfaces: local limits and sharp error estimates
Haixia Dong, Ziqing Xie, Jiwei Zhang
This paper presents the development and analysis of an asymptotically compatible (AC) unfitted finite element method for one-dimensional nonlocal elliptic interface problems. The p…
Kernel Free Boundary Integral Method for 3D Stokes and Navier Equations on Irregular Domains
Zhongshu Zhao, Haixia Dong, Wenjun Ying
A second-order accurate kernel-free boundary integral method is presented for Stokes and Navier boundary value problems on three-dimensional irregular domains. It solves equations…
Second order convergence of a modified MAC scheme for Stokes interface problems
Haixia Dong, Zhongshu Zhao, Shuwang Li +2
Stokes flow equations have been implemented successfully in practice for simulating problems with moving interfaces. Though computational methods produce accurate solutions and num…
Kernel-free boundary integral method for two-phase Stokes equations with discontinuous viscosity on staggered grids
Haixia Dong, Shuwang Li, Wenjun Ying +1
A discontinuous viscosity coefficient makes the jump conditions of the velocity and normal stress coupled together, which brings great challenges to some commonly used numerical me…