Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves

Elastic Theory of Low-Dimensional Continua and Its Applications in Bio- and Nano-Structures

(2016) Z. C. Tu et al.   Journal of Computational and Theoretical Nanoscience

The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute

(2010) John W. Barrett et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

The Willmore boundary problem

(2009) Reiner Schätzle   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Numerical approximation of gradient flows for closed curves in Rd

(2009) J. W. Barrett et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Error analysis for the elastic flow of parametrized curves

(2009) Klaus Deckelnick et al.   MATHEMATICS OF COMPUTATION

Stability and Symmetry in the Navier Problem for the One-Dimensional Willmore Equation

(2009) Klaus Deckelnick et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

A variational formulation of anisotropic geometric evolution equations in higher dimensions

(2008) John W. Barrett et al.   NUMERISCHE MATHEMATIK

Computational parametric Willmore flow

(2008) Gerhard Dziuk   NUMERISCHE MATHEMATIK

Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations

(2008) John W. Barrett et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING