- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:03
Interfaces and Free Boundaries
Interfaces Free Bound.
IFB
1463-9963
1463-9971
Partial differential equations
Numerical analysis
Fluid mechanics
Biology and other natural sciences
10.4171/IFB
http://www.ems-ph.org/doi/10.4171/IFB
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
8
2006
1
Error analysis of a finite element method for the Willmore flow of graphs
Klaus
Deckelnick
Otto-von-Guericke-Universität Magdeburg, MAGDEBURG, GERMANY
Gerhard
Dziuk
Universität Freiburg, FREIBURG I BR, GERMANY
Willmore flow, fourth order parabolic problem, finite element, mixed method, error estimates
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.
Partial differential equations
Numerical analysis
Fluid mechanics
Biology and other natural sciences
21
46
10.4171/IFB/134
http://www.ems-ph.org/doi/10.4171/IFB/134