33 citations · 57 across the 11 of their papers we have counts for
11 papers
A correction function-based kernel-free boundary integral method for elliptic PDEs with implicitly defined interfaces
Han Zhou, Wenjun Ying
This work addresses a novel version of the kernel-free boundary integral (KFBI) method for solving elliptic PDEs with implicitly defined irregular boundaries and interfaces. We foc…
A Cartesian grid-based boundary integral method for moving interface problems
Han Zhou, Shuwang Li, Wenjun Ying
This paper proposes a Cartesian grid-based boundary integral method for efficiently and stably solving two representative moving interface problems, the Hele-Shaw flow and the Stef…
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…
Numerical study on viscous fingering using electric fields in a Hele-Shaw cell
Meng Zhao, Pedro Anjos, John Lowengrub +2
We investigate the nonlinear dynamics of a moving interface in a Hele-Shaw cell subject to an in-plane applied electric field. We develop a spectrally accurate boundary integral me…