07-38

Error analysis for the elastic flow of parametrized curves

by Deckelnick, K.; Dziuk, G.

 

Preprint series: 07-38, Preprints

MSC:
35K55 Nonlinear PDE of parabolic type
65M15 Error bounds
65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods

 

Abstract: We analyze a semidiscrete numerical scheme for approximating the evolution of parametric curves by elastic flow. The fourth order equation is split into two coupled second order problems, which are approximated by linear finite elements. We prove error bounds for the resulting scheme and present numerical test calculations that confirm our analysis.

Keywords: elastic flow, finite elements, error estimates


The author(s) agree, that this abstract may be stored asfull text and distributed as such by abstracting services.

Letzte Änderung: 01.03.2018 - Ansprechpartner: Webmaster