Error analysis for the elastic flow of parametrized curves
نویسندگان
چکیده
We analyze a semidiscrete numerical scheme for approximating the evolution of parametric curves by elastic flow in Rn. 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.
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عنوان ژورنال:
- Math. Comput.
دوره 78 شماره
صفحات -
تاریخ انتشار 2009