Approximation of Large Bending Isometries with Discrete Kirchhoff Triangles
Approximation of Large Bending Isometries with Discrete Kirchhoff Triangles
复制标题
用离散基尔霍夫三角形近似大弯曲等距
DOI：
10.1137/110855405
复制
发表时间：
2013
期刊：
影响因子：
--
通讯作者：
S. Bartels
中科院分区：
文献类型：
--
作者：
S. Bartels
我们设计并分析了一种简单的数值方法来近似大弯曲等距。离散化采用离散基尔霍夫三角形来处理二阶导数，并证明了离散解收敛于连续公式的极小值。验证了基于等距约束线性化的离散极小化计算迭代方案的无条件稳定性和收敛性。数值实验说明了所提出方法的性能。
We devise and analyze a simple numerical method for the approximation of large bending isometries. The discretization employs a discrete Kirchhoff triangle to deal with second order derivatives and convergence of discrete solutions to minimizers of the continuous formulation is proved. Unconditional stability and convergence of an iterative scheme for the computation of discrete minimizers that is based on a linearization of the isometry constraint is verified. Numerical experiments illustrate the performance of the proposed method.
影响因子：
3
作者：
H. Knüpfer;R. V. Kohn;F. Otto
通讯作者：
F. Otto