Michael Kindsvater:
B-Spline Discretization of Inextensible Curves
Time and place
Tuesday, 4.2.25, 14:15-15:15, Raum 226, Hermann-Herder-Str. 10
Abstract
Two models for the numerical approximation of the elastic movement of inextensible curves are investigated. The configuration with the least possible elastic energy can be approached by employing a gradient flow of the corresponding energy functional. This gradient flow is then discretized using cubic spline functions. First, we examine a scheme that is based on functions that are once globally differentiable, and then we try to recreate that scheme using the twice globally differentiable B-splines. We show the convergence of the discretizations to the continuous problem and compare the performance of the two discretization schemes.\n