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Error analysis for a difference scheme approximating mean curvature flow

journal contribution
posted on 2023-06-07, 20:24 authored by Klaus Deckelnick
We analyse a finite difference scheme for the approximation of level set solutions to mean curvature flow. The scheme which was proposed by Crandall & Lions (Numer. Math. 75, (1996) 17-41) is a monotone and consistent discretization of a regularized version of the underlying problem. We derive an L[infin]-error bound between the numerical solution and the viscosity solution to the level set equation provided that the space and time step sizes are appropriately related to the regularization parameter.

History

Publication status

  • Published

Journal

Interfaces and Free Boundaries

ISSN

1463-9963

Publisher

European Mathematical Society

Issue

2

Volume

2

Page range

117-142

ISBN

1463-9963

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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