Numerical analysis of a continuum model of phase transition
SIAM Journal on Numerical Analysis
A level set formulation of Eulerian interface capturing methods for incompressible fluid flows
Journal of Computational Physics
Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow
SIAM Journal on Scientific Computing
Finite element modeling of lipid bilayer membranes
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A phase field model for vesicle-substrate adhesion
Journal of Computational Physics
Dynamics of multicomponent vesicles in a viscous fluid
Journal of Computational Physics
Parametric FEM for geometric biomembranes
Journal of Computational Physics
Change of the Willmore energy under infinitesimal bending of membranes
Computers & Mathematics with Applications
Modeling and computation of two phase geometric biomembranes using surface finite elements
Journal of Computational Physics
3D vesicle dynamics simulations with a linearly triangulated surface
Journal of Computational Physics
A level set projection model of lipid vesicles in general flows
Journal of Computational Physics
Journal of Computational Physics
Generalized edge-weighted centroidal Voronoi tessellations for geometry processing
Computers & Mathematics with Applications
Journal of Computational Physics
Hi-index | 31.50 |
In this paper, we study the three-dimensional deformation of a vesicle membrane under the elastic bending energy, with prescribed bulk volume and surface area. Both static and dynamic deformations are considered. A newly developed energetic variational formulation is employed to give an effective Eulerian description. Efficient time and spatial discretizations are considered and implemented. Numerical experiments illustrate some fascinating phenomena that are of interests in real applications.