标题： 不可伸长曲线弹性流逼近的拟最优误差估计 显示英文标题

标题： Quasi-optimal error estimate for the approximation of the elastic flow of inextensible curves

摘要： 设计了针对不可伸长曲线弹性流的空间离散化方法，并且对于非线性不可伸长约束的合适离散化，证明了相应半离散问题的拟最优收敛性。 此外，提出了一种结合该约束的全离散时间推进方案，并证明了离散格式的无条件稳定性和收敛性。 最后，通过一些数值模拟实验验证了所获得的结果。 显示英文摘要

摘要： A space-discretization for the elastic flow of inextensible curves is devised and quasi-optimal convergence of the corresponding semi-discrete problem is proved for a suitable discretization of the nonlinear inextensibility constraint. Further a fully discrete time-stepping scheme that incorporates this constraint is proposed and unconditional stability and convergence of the discrete scheme are proved. Finally some numerical simulations are used to verify the obtained results experimentally.