A variational method for multiphase volume-preserving interface motions

10Citations
Citations of this article
8Readers
Mendeley users who have this article in their library.

Abstract

We develop a numerical method for realizing mean curvature motion of interfaces separating multiple phases, whose volumes are preserved throughout time. The foundation of the method is a thresholding algorithm of the Bence-Merriman-Osher type. The original algorithm is reformulated in a vector setting, which allows for a natural inclusion of constraints, even in the multiphase case. Moreover, a new method for overcoming the inaccuracy of thresholding methods on non-adaptive grids is designed, since this inaccuracy becomes especially prominent in volume-preserving motions. Formal analysis of the method and numerical tests are presented. © 2013 Elsevier B.V. All rights reserved.

Cite

CITATION STYLE

APA

Svadlenka, K., Ginder, E., & Omata, S. (2014). A variational method for multiphase volume-preserving interface motions. Journal of Computational and Applied Mathematics, 257, 157–179. https://doi.org/10.1016/j.cam.2013.08.027

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free