论文标题
计算限制弹性e
Computing confined elasticae
论文作者
论文摘要
设计了一种用于计算限制在凸域的低弯曲能的弧长参数曲线的数值方案。解决了离散配方与连续模型的收敛性以及迭代方案的无条件稳定性。数值模拟证实了理论结果，并导致了球体内观察到的最佳曲线的分类。
A numerical scheme for computing arc-length parametrized curves of low bending energy that are confined to convex domains is devised. The convergence of the discrete formulations to a continuous model and the unconditional stability of an iterative scheme are addressed. Numerical simulations confirm the theoretical results and lead to a classification of observed optimal curves within spheres.
