2015年10月
MULTIPHASE VOLUME-PRESERVING INTERFACE MOTIONS VIA LOCALIZED SIGNED DISTANCE VECTOR SCHEME
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
- ,
- 巻
- 8
- 号
- 5
- 開始ページ
- 969
- 終了ページ
- 988
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.3934/dcdss.2015.8.969
- 出版者・発行元
- AMER INST MATHEMATICAL SCIENCES-AIMS
We develop a signed distance vector approach for approximating volume-preserving mean curvature motions of interfaces separating multiple phases a variant of the BMO (Bence-Merriman-Osher) thresholding dynamics. We adopt a variational method employing the idea of a vector-type discrete Morse flow, which allows us to easily treat volume constraint via penalization without having to change the threshold value. Moreover, employing a vector-valued analogue of the signed distance function, the scheme is designed to allow subgrid accuracy on uniform grids without adaptive refinement; thereby, alleviating the well-known BMO time and grid restrictions. Finally, we present numerical tests and examples.
- リンク情報
- ID情報
-
- DOI : 10.3934/dcdss.2015.8.969
- ISSN : 1937-1632
- eISSN : 1937-1179
- Web of Science ID : WOS:000357886400013