74 citations · 238 across the 21 of their papers we have counts for
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math.NA2016★ 1 cited
A trace finite element method for PDEs on evolving surfaces
Maxim A. Olshanskii, Xianmin Xu
In this paper, we propose an approach for solving PDEs on evolving surfaces using a combination of the trace finite element method and a fast marching method. The numerical approac…
math.AP2016★ 1 cited
Modified Wenzel and Cassie equations for wetting on rough surfaces
Xianmin Xu
We study a stationary wetting problem on rough and inhomogeneous solid surfaces. We derive a new formula for the apparent contact angle by asymptotic two-scale homogenization metho…
math.NA2016★ 44 cited
An efficient threshold dynamics method for wetting on rough surfaces
Xianmin Xu, Dong Wang, Xiaoping Wang
The threshold dynamics method developed by Merriman, Bence and Osher (MBO) is an efficient method for simulating the motion by mean curvature flow when the interface is away from t…