Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
SIAM Journal on Scientific Computing
A finite element method for surface restoration with smooth boundary conditions
Computer Aided Geometric Design
A phase field approach in the numerical study of the elastic bending energy for vesicle membranes
Journal of Computational Physics
Metric tensors for anisotropic mesh generation
Journal of Computational Physics
Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations (Applied Mathematical Sciences)
Journal of Computational Physics
SIAM Journal on Scientific Computing
An anisotropic mesh adaptation method for the finite element solution of variational problems
Finite Elements in Analysis and Design
Parametric FEM for geometric biomembranes
Journal of Computational Physics
Simulating the dynamics of inextensible vesicles by the penalty immersed boundary method
Journal of Computational Physics
Journal of Computational Physics
3D vesicle dynamics simulations with a linearly triangulated surface
Journal of Computational Physics
Journal of Computational Physics
Computers & Mathematics with Applications
A level set projection model of lipid vesicles in general flows
Journal of Computational Physics
Applications of level set methods in computational biophysics
Mathematical and Computer Modelling: An International Journal
Finite Element Methods for Navier-Stokes Equations: Theory and Algorithms
Finite Element Methods for Navier-Stokes Equations: Theory and Algorithms
Hi-index | 31.45 |
The numerical simulation of the deformation of vesicle membranes under simple shear external fluid flow is considered in this paper. A saddle-point approach is proposed for the imposition of the fluid incompressibility and the membrane inextensibility constraints, through Lagrange multipliers defined in the fluid and on the membrane respectively. Using a level set formulation, the problem is approximated by mixed finite elements combined with an automatic adaptive mesh procedure at the vicinity of the membrane boundary. Numerical experiments show that this combination of the saddle-point and adaptive mesh method enhances the robustness of the method. The effect of inertia on the stability of the vesicle in a shear flow is also investigated.