Evolution of elastic curves in ℝn: Existence and computation

SIAM Journal on Mathematical Analysis

Volumn 33, Issue 5, 2002, Pages 1228-1245

  Dziuk, Gerhard ^a   Kuwert, Ernst ^a   Schätzle, Reiner ^a  

^a Institut fur Angewandte Mathematik   (Germany)

Author keywords

Algorithms; Computations; Elastic curves; Fourth order; Geometric evolution equations

Indexed keywords

EID: 0036373961     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141001383709     Document Type: Article

References (14)

1. The affine curve-lengthening flow
2. Nonlinear analysis on manifolds. Monge-ampère equations
3. Surface motion by surface diffusion
4. Convergence of a semi-discrete scheme for the curve shortening flow
5. Discrete anisotropic curve shortening flow
6. The surface diffusion flow for immersed hyper-surfaces
7. On the motion of a curve towards elastica
8. 3
9. Curve straightening and a minimax argument for closed elastic curves
10. The influence of elasticity on analysis: The classical heritage
11. Curve straightening flow deforms closed plane curves with nonzero rotation number to circles