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

Name: Physics-Compatible Finite Element Methods for Scalar and Tensorial Advection Problems
Brand: Springer Fachmedien Wiesbaden
SKU: 24526022
Price: 66.29 EUR
Availability: InStock
Author: Christoph Lohmann
ISBN: 9783658277369

Christoph Lohmann

Language

English

Book Paperback

Libristo code: 24526022

Publishers Springer Fachmedien Wiesbaden, October 2019

Christoph Lohmann introduces a very general framework for the analysis and design of bound-preservin... Full description

Libristo code: 24526022

162 b

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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 new limiting techniques designed to control the range of solution values for advected scalar quantities or the eigenvalue range of symmetric tensors. The author performs a detailed case study for the Folgar-Tucker model of fiber orientation dynamics. Using eigenvalue range preserving limiters and admissible closure approximations, he develops a physics-compatible numerical algorithm for this model.