株式会社極東書店トップ ＞ 商品一覧 ＞ Interfaces : Modeling, Analysis, Numerics. 1st ed. 2023.
商品詳細
Interfaces : Modeling, Analysis, Numerics. 1st ed. 2023.
・ISBN 978-3-031-35549-3 paper EUR 54.99
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| 著者・編者 | Baensch, Eberhard / Deckelnick, Klaus / Garcke, Harald / Pozzi, Paola, |
|---|---|
| シリーズ | Oberwolfach Seminars |
| 出版社 | (Birkhauser Verlag AG, SZ) |
| 出版年月 | 2023 |
| ページ数 | 178 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-6156＞ |
解説
These lecture notes are dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems appearing in geometry and in various applications, ranging from crystal growth, tumour growth, biological membranes to porous media, two-phase flows, fluid-structure interactions, and shape optimization.
We first give an introduction to classical methods from differential geometry and systematically derive the governing equations from physical principles. Then we will analyse parametric approaches to interface evolution problems and derive numerical methods which will be thoroughly analysed. In addition, implicit descriptions of interfaces such as phase field and level set methods will be analysed. Finally, we will discuss numerical methods for complex interface evolutions and will focus on two phase flow problems as an important example of such evolutions.
We first give an introduction to classical methods from differential geometry and systematically derive the governing equations from physical principles. Then we will analyse parametric approaches to interface evolution problems and derive numerical methods which will be thoroughly analysed. In addition, implicit descriptions of interfaces such as phase field and level set methods will be analysed. Finally, we will discuss numerical methods for complex interface evolutions and will focus on two phase flow problems as an important example of such evolutions.