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    Finite element methods for fourth order axisymmetric geometric evolution equations (2018)
    Elsevier
    Details
    Publication Date: 2018
    Description: 〈p〉Publication date: 1 January 2019〈/p〉 〈p〉〈b〉Source:〈/b〉 Journal of Computational Physics, Volume 376〈/p〉 〈p〉Author(s): John W. Barrett, Harald Garcke, Robert Nürnberg〈/p〉 〈h5〉Abstract〈/h5〉 〈div〉〈p〉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 existence, uniqueness and stability results. The presented schemes have very good mesh and stability properties, as will be demonstrated by several numerical examples.〈/p〉〈/div〉
    Print ISSN: 0021-9991
    Electronic ISSN: 1090-2716
    Topics: Computer Science , Physics
    Published by Elsevier
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