2012年1月
ERROR ANALYSIS OF A CONSERVATIVE FINITE-ELEMENT APPROXIMATION FOR THE KELLER-SEGEL SYSTEM OF CHEMOTAXIS
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
- 巻
- 11
- 号
- 1
- 開始ページ
- 339
- 終了ページ
- 364
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.3934/cpaa.2012.11.339
- 出版者・発行元
- AMER INST MATHEMATICAL SCIENCES-AIMS
We are concerned with the finite-element approximation for the Keller-Segel system that describes the aggregation of slime molds resulting from their chemotactic features. The scheme makes use of a semi-implicit time discretization with a time-increment control and Baba-Tabata's conservative upwind finite-element approximation in order to realize the positivity and mass conservation properties. The main aim is to present error analysis that is an application of the discrete version of the analytical semigroup theory.
- リンク情報
- ID情報
-
- DOI : 10.3934/cpaa.2012.11.339
- ISSN : 1534-0392
- eISSN : 1553-5258
- Web of Science ID : WOS:000295210000018