Work

A variational method for multiphase area-preserving interface motions

Year: 2012

Type: preprint

Abstract: We develop a numerical method for realizing mean curvature motion of interfaces separating multiple phases, whose areas 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 area-preserving motions. Formal analysis of the method and numerical tests are presented.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1204.6128

Authors: Svadlenka, Karel, Ginder, Elliott, Omata, Seiro

Institutions: Kanazawa University, Czech Academy of Sciences, Czech Academy of Sciences, Institute of Mathematics

Language: English

Topic: Solidification and crystal growth phenomena

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2952654915

Cites:

Cited by: 1

Related to: 10