Title
Approximation of Large Bending Isometries with Discrete Kirchhoff Triangles.
Abstract
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.
Year
DOI
Venue
2013
10.1137/110855405
SIAM JOURNAL ON NUMERICAL ANALYSIS
Keywords
Field
DocType
discrete Kirchhoff triangles,elasticity,plates,bending energy,isometries
Convergence (routing),Discretization,Mathematical optimization,Mathematical analysis,Isometry,Bending,Numerical analysis,Mathematics,Linearization,Computation
Journal
Volume
Issue
ISSN
51
1
0036-1429
Citations 
PageRank 
References 
3
0.68
1
Authors
1
Name
Order
Citations
PageRank
Sören Bartels135556.90