Geodesic
Error analysis of a finite element method for the Willmore flow of graphs
Klaus Deckelnick1 ; Gerhard Dziuk2
1Otto-von-Guericke-Universität Magdeburg, Germany
2Universität Freiburg, Germany
Interfaces and free boundaries, Tome 8 (2006) no. 1, pp. 21-46

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DOI

The evolution of two-dimensional graphs under Willmore flow is approximated by a continuous-in-time finite element method. The highly nonlinear fourth order problem is split into two coupled second order problems using height and a weighted mean curvature as variables. We prove a-priori error estimates for the resulting time-continuous scheme and present results of test calculations.
DOI : 10.4171/ifb/134
Classification : 35-XX, 65-XX, 76-XX, 92-XX
Mots-clés : Willmore flow, fourth order parabolic problem, finite element, mixed method, error estimates

Klaus Deckelnick  1   ; Gerhard Dziuk  2

1 Otto-von-Guericke-Universität Magdeburg, Germany
2 Universität Freiburg, Germany 
Klaus Deckelnick; Gerhard Dziuk. Error analysis of a finite element method for the Willmore flow of graphs. Interfaces and free boundaries, Tome 8 (2006) no. 1, pp. 21-46. doi: 10.4171/ifb/134
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     doi = {10.4171/ifb/134},
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