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The book delves into mathematical continuum mechanics, focusing on fluids and solids and their interactions. It emphasizes the derivation of variational formulations for fluid and solid mechanics, as well as the coupled fluid-structure interaction problem. Detailed discussions on two monolithic formulations—ALE and Fully Eulerian—highlight their effectiveness in handling large deformations. Additionally, it covers advanced discretization schemes, interface techniques, and topics like goal-oriented error estimation and optimization in fluid-structure interactions.
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Fluid-structure Interactions, Thomas Richter
- Language
- Released
- 2017
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- Title
- Fluid-structure Interactions
- Subtitle
- Models, Analysis and Finite Elements
- Language
- English
- Authors
- Thomas Richter
- Publisher
- Springer International Publishing
- Publisher
- 2017
- Format
- Hardcover
- Pages
- 464
- ISBN13
- 9783319639697
- Category
- Mathematics, Nature in general
- Description
- The book delves into mathematical continuum mechanics, focusing on fluids and solids and their interactions. It emphasizes the derivation of variational formulations for fluid and solid mechanics, as well as the coupled fluid-structure interaction problem. Detailed discussions on two monolithic formulations—ALE and Fully Eulerian—highlight their effectiveness in handling large deformations. Additionally, it covers advanced discretization schemes, interface techniques, and topics like goal-oriented error estimation and optimization in fluid-structure interactions.