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portada Interfaces: Modeling, Analysis, Numerics
Type
Physical Book
Author
Publisher
Language
English
Pages
178
Format
Paperback
Dimensions
24.4x17x1 cm
Weight
0.31 kg.
ISBN13
9783031355493
Edition No.
1
Categories

Interfaces: Modeling, Analysis, Numerics

Eberhard Bänsch (Author) · Klaus Deckelnick (Author) · Harald Garcke (Author) · Birkhauser · Paperback

Interfaces: Modeling, Analysis, Numerics - Bänsch, Eberhard ; Deckelnick, Klaus ; Garcke, Harald

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Synopsis "Interfaces: Modeling, Analysis, Numerics"

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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