404 citations · 3.5k across the 79 of their papers we have counts for
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A finite element error analysis for axisymmetric mean curvature flow
John W. Barrett, Klaus Deckelnick, Robert Nürnberg
We consider the numerical approximation of axisymmetric mean curvature flow with the help of linear finite elements. In the case of a closed genus-1 surface, we derive optimal erro…
Stable approximations for axisymmetric Willmore flow for closed and open surfaces
John W. Barrett, Harald Garcke, Robert Nürnberg
For a hypersurface in , Willmore flow is defined as the --gradient flow of the classical Willmore energy: the integral of the squared mean curvature. This geome…
Parametric finite element approximations of curvature driven interface evolutions
John W. Barrett, Harald Garcke, Robert Nürnberg
Parametric finite elements lead to very efficient numerical methods for surface evolution equations. We introduce several computational techniques for curvature driven evolution eq…