科研之友
微信
新浪微博
Facebook
分享链接
摘要
A numerical scheme for the approximation of the elastic flow of inextensible curves is devised and convergence of approximations to exact solutions of the nonlinear time-dependent partial differential equation is proved. The nonlinear, pointwise constraint of local length preservation is linearized about a previous solution in each time step which leads to a sequence of linear saddle-point problems. The spatial discretization is based on piecewise Bezier curves and the resulting semiimplicit scheme is unconditionally stable and convergent.
- 出版日期2013-10
