91 citations · 747 across the 46 of their papers we have counts for
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math.NA2019★ 16 cited
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…
math.NA2019★ 12 cited
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…
math.NA2019★ 16 cited
Numerical approximation of the Stochastic Cahn-Hilliard Equation near the Sharp Interface Limit
Dimitra Antonopoulou, Lubomir Banas, Robert Nürnberg +1
We consider the stochastic Cahn-Hilliard equation with additive noise term () that scales with the interfacial width parameter . We ver…