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Stability of the Semi-Implicit Discrete Duality Finite Volume Scheme for the Curvature Driven Level Set Equation in 2D

Angela Handlovičová

Handlovičová, Angela

and

Kotorová, Dana

Mar 11, 2015

Stability of the Semi-Implicit Discrete Duality Finite Volume Scheme for the Curvature Driven Level Set Equation in 2D's Cover Image

Tatra Mountains Mathematical Publications

Volume 61 (2014): Issue 1 (December 2014)

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Published Online: Mar 11, 2015

Page range: 117 - 129

Received: Aug 15, 2012

DOI: https://doi.org/10.2478/tmmp-2014-0031

Keywords
mean curvature flow, level set equation, numerical solution, semi-implicit scheme, discrete duality finite volume method, stability

© 2015

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Stability of the linear semi-implicit discrete duality finite volume (DDFV) numerical scheme for the solution of the regularized curvature driven level set equation is proved. Our scheme is linear, it is efficient regarding computational times. Numerical experiments confirm accuracy of the proposed scheme

Language:: English

Publication timeframe:: 3 times per year
Journal Subjects:: Mathematics, General Mathematics

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