33 citations · 61 across the 11 of their papers we have counts for
12 papers
An energy--stable ALE--FEM with compensated tangential velocity for Navier--Stokes free--boundary flows
Nuo Lei, Weiying Zheng, Na Zhu
We propose an energy-stable arbitrary Lagrangian-Eulerian (ALE) finite element formulation for incompressible Navier-Stokes flows with surface-tension-driven free boundaries. The k…
Finite element error estimates for the nonlinear Schrödinger-Poisson model
Tao Cui, Wenhao Lu, Naiyan Pan +1
In this paper, we study a priori error estimates for the finite element approximation of the nonlinear Schrödinger-Poisson model. The electron density is defined by an infinite ser…
A PML method for signal-propagation problems in axon
Xue Jiang, Maohui Lyu, Tao Yin +1
This work is focused on the modelling of signal propagations in myelinated axons to characterize the functions of the myelin sheath in the neural structure. Based on reasonable ass…
A uniform preconditioner for a Newton algorithm for total-variation minimization and minimum-surface problems
Xue-Cheng Tai, Ragnar Winther, Xiaodi Zhang +1
Solution methods for the nonlinear partial differential equation of the Rudin-Osher-Fatemi (ROF) and minimum-surface models are fundamental for many modern applications. Many effic…
A high-order unfitted finite element method for moving interface problems
Chuwen Ma, Weiying Zheng
We propose a -order unfitted finite element method () to solve the moving interface problem of the Oseen equations. Thorough error estimates for the discre…
High-order finite element methods for nonlinear convection-diffusion equation on time-varying domain
Chuwen Ma, Weiying Zheng
A high-order finite element method is proposed to solve the nonlinear convection-diffusion equation on a time-varying domain whose boundary is implicitly driven by the solution of…
A fourth-order unfitted characteristic finite element method for solving the advection-diffusion equation on time-varying domains
Chuwen Ma, Qinghai Zhang, Weiying Zheng
We propose a fourth-order unfitted characteristic finite element method to solve the advection-diffusion equation on time-varying domains. Based on a characteristic-Galerkin formul…
A constrained transport divergence-free finite element method for Incompressible MHD equations
Lingxiao Li, Donghang Zhang, Weiying Zheng
In this paper we study finite element method for three-dimensional incompressible resistive magnetohydrodynamic equations, in which the velocity, the current density, and the magne…
An Adaptive Finite Element DtN Method for Maxwell's Equations in Biperiodic Structures
Xue Jiang, Peijun Li, Junliang Lv +3
Consider the diffraction of an electromagnetic plane wave by a biperiodic structure where the wave propagation is governed by the three-dimensional Maxwell equations. Based on tran…
A robust solver for the finite element approximation of stationary incompressible MHD equations in 3D
Lingxiao Li, Weiying Zheng
In this paper, we propose a robust solver for the finite element discrete problem of the stationary incompressible magnetohydrodynamic (MHD) equations in three dimensions. By the m…
Convergence of the PML solution for elastic wave scattering by biperiodic structures
Xue Jiang, Peijun Li, Junliang Lv +1
This paper is concerned with the analysis of elastic wave scattering of a time-harmonic plane wave by a biperiodic rigid surface, where the wave propagation is governed by the thre…
An adaptive finite element PML method for the elastic wave scattering problem in periodic structures
Xue Jiang, Peijun Li, Junliang Lv +1
An adaptive finite element method is presented for the elastic scattering of a time-harmonic plane wave by a periodic surface. First, the unbounded physical domain is truncated int…