423 citations · 1.2k across the 17 of their papers we have counts for
17 papers
An eXtended HDG method for Darcy-Stokes-Brinkman interface problems
Yihui Han, Xiao-Ping Wang, Xiaoping Xie
This paper proposes an interface/boundary-unfitted eXtended hybridizable discontinuous Galerkin (X-HDG) method for Darcy-Stokes-Brinkman interface problems in two and three dimensi…
A Characteristic Function-based Algorithm for Geodesic Active Contours
Jun Ma, Dong Wang, Xiao-Ping Wang +1
Active contour models have been widely used in image segmentation, and the level set method (LSM) is the most popular approach for solving the models, via implicitly representing t…
An interface/boundary-unfitted eXtended HDG method for linear elasticity problems
Yihui Han, Xiao-Ping Wang, Xiaoping Xie
An interface/boundary-unfitted eXtended hybridizable discontinuous Galerkin (X-HDG) method of arbitrary order is proposed for linear elasticity interface problems on unfitted meshe…
Extended HDG methods for second order elliptic interface problems
Yihui Han, Huangxin Chen, Xiao-Ping Wang +1
In this paper, we propose two arbitrary order eXtended hybridizable Discontinuous Galerkin (X-HDG) methods for second order elliptic interface problems in two and three dimensions.…
Two improved Gauss-Seidel projection methods for Landau-Lifshitz-Gilbert equation
Panchi Li, Changjian Xie, Rui Du +2
In this paper, we present two improved Gauss-Seidel projection methods with unconditional stability. The first method updates the gyromagnetic term and the damping term simultaneou…
Interface dynamics for an Allen-Cahn-type equation governing a matrix-valued field
Dong Wang, Braxton Osting, Xiao-Ping Wang
We consider the initial value problem for the generalized Allen-Cahn equation, \[\partial_t Φ= ΔΦ-\varepsilon^{-2} Φ(Φ^t Φ- I), \qquad x \in Ω, \ t\geq 0,\] where is an $n\time…