Physics-Compatible Finite Element Methods for Scalar and Tensorial Advection Problems

• Main Author: Lohmann, Christoph (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum, 2019.
• Edition: 1st ed. 2019.
• Subjects: Computer mathematics.; Physics.; Applied mathematics.; Engineering mathematics.; Computational Mathematics and Numerical Analysis.; Numerical and Computational Physics, Simulation.; Applications of Mathematics.

Christoph Lohmann introduces a very general framework for the analysis and design of bound-preserving finite element methods. The results of his in-depth theoretical investigations lead to promising new extensions and modifications of existing algebraic flux correction schemes. The main focus is on...

Table of Contents:

• Equations of Fluid Dynamics
• Finite Element Discretization
• Limiting for Scalars
• Limiting for Tensors
• Simulation of Fiber Suspensions.