BÜCHER VERSANDKOSTENFREI INNERHALB DEUTSCHLANDS
eBook
Interfaces: Modeling, Analysis, Numerics
Springer International Publishing
ISBN 978-3-031-35550-9
Standardpreis
Bibliografische Daten
eBook. PDF. Weiches DRM (Wasserzeichen)
2023
XII, 178 p. 73 illus., 34 illus. in color..
In englischer Sprache
Umfang: 178 S.
Verlag: Springer International Publishing
ISBN: 978-3-031-35550-9
Weiterführende bibliografische Daten
Das Werk ist Teil der Reihe: Oberwolfach Seminars Mathematics and Statistics (R0) Mathematics and Statistics
Produktbeschreibung
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.
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