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Finite element methods for fourth order axisymmetric geometric evolution equations

Barrett, John W. ; Garcke, Harald ; Nürnberg, Robert



Abstract

Fourth order curvature driven interface evolution equations frequently appear in the natural sciences. Often axisymmetric geometries are of interest, and in this situation numerical computations are much more efficient. We will introduce and analyze several new finite element schemes for fourth order geometric evolution equations in an axisymmetric setting, and for selected schemes we will show ...

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