Finite element approximation for the dynamics of asymmetric fluidic biomembranes
Finite element approximation for the dynamics of asymmetric fluidic biomembranes
复制标题
非对称流体生物膜动力学的有限元近似
作者：
J. Barrett;H. Garcke;R. Nürnberg
我们提出了流体膜的参数有限元逼近，流体膜的演化是由一个与体积耦合的表面Navier-Stokes方程控制的
We present a parametric finite element approximation of a fluidic membrane, whose evolution is governed by a surface Navier–Stokes equation coupled to bulk
Navier–Stokes equations. The elastic properties of the membrane are modelled with the help of curvature energies of Willmore and Helfrich type. Forces stemming from these energies act on the surface fluid, together with a forcing from the bulk fluid. Using ideas from PDE constrained optimization, a weak formulation is derived,
which allows for a stable semi-discretization. An important new feature of the present work is that we are able to also deal with spontaneous curvature and an
area-difference elasticity contribution in the curvature energy. This allows for the modelling of asymmetric membranes, which compared to the symmetric case lead
to quite different shapes. This is demonstrated in the numerical computations presented.
影响因子：
4.1
作者：
Aland, Sebastian;Egerer, Sabine;Lowengrub, John;Voigt, Axel
通讯作者：
Voigt, Axel
影响因子：
14.2
作者：
Dziuk, Gerhard;Elliott, Charles M.
通讯作者：
Elliott, Charles M.
影响因子：
4.1
作者：
Elliott, Charles M.;Stinner, Bjoern
通讯作者：
Stinner, Bjoern