87 citations · 457 across the 24 of their papers we have counts for
11 papers · 1 filter
A structure-preserving parametric finite element method for solid-state dewetting on curved substrates
Weizhu Bao, Yifei Li, Quan Zhao
We consider a two-dimensional sharp-interface model for solid-state dewetting of thin films with anisotropic surface energies on curved substrates, where the film/vapor interface a…
A variational front-tracking method for multiphase flow with triple junctions
Harald Garcke, Robert Nürnberg, Quan Zhao
We present and analyze a variational front-tracking method for a sharp-interface model of multiphase flow. The fluid interfaces between different phases are represented by curve ne…
Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow
Harald Garcke, Robert Nürnberg, Quan Zhao
We analyze numerical approximations for axisymmetric two-phase flow in the arbitrary Lagrangian-Eulerian (ALE) framework. We consider a parametric formulation for the evolving flui…
Unfitted finite element methods for axisymmetric two-phase flow
Harald Garcke, Robert Nürnberg, Quan Zhao
We propose and analyze unfitted finite element approximations for the two-phase incompressible Navier--Stokes flow in an axisymmetric setting. The discretized schemes are based on…
Structure-preserving discretizations of two-phase Navier-Stokes flow using fitted and unfitted approaches
Harald Garcke, Robert Nürnberg, Quan Zhao
We consider the numerical approximation of a sharp-interface model for two-phase flow, which is given by the incompressible Navier-Stokes equations in the bulk domain together with…
A structure-preserving finite element approximation of surface diffusion for curve networks and surface clusters
Weizhu Bao, Harald Garcke, Robert Nürnberg +1
We consider the evolution of curve networks in two dimensions (2d) and surface clusters in three dimensions (3d). The motion of the interfaces is described by surface diffusion, wi…
Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations
Weizhu Bao, Harald Garcke, Robert Nurnberg +1
We propose and analyze volume-preserving parametric finite element methods for surface diffusion, conserved mean curvature flow and an intermediate evolution law in an axisymmetric…
A structure-preserving parametric finite element method for surface diffusion
Weizhu Bao, Quan Zhao
We propose a structure-preserving parametric finite element method (SP-PFEM) for discretizing the surface diffusion of a closed curve in two dimensions (2D) or surface in three dim…
An Energy-Stable Parametric Finite Element Method for Simulating Solid-state Dewetting Problems in Three Dimensions
Weizhu Bao, Quan Zhao
We propose an accurate and energy-stable parametric finite element method for solving the sharp-interface continuum model of solid-state dewetting in three-dimensional space. The m…
An energy-stable parametric finite element method for simulating solid-state dewetting
Quan Zhao, Wei Jiang, Weizhu Bao
We propose an energy-stable parametric finite element method (ES-PFEM) for simulating solid-state dewetting of thin films in two dimensions via a sharp-interface model, which is go…
A parametric finite element method for solid-state dewetting problems with anisotropic surface energies
Weizhu Bao, Wei Jiang, Yan Wang +1
We propose an efficient and accurate parametric finite element method (PFEM) for solving sharp-interface continuum models for solid-state dewetting of thin films with anisotropic s…