Physics-Compatible Finite Element Methods for Scalar and Tensorial Advection Problems (Paperback, 1st ed. 2019)

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.

General

Imprint:	Springer Spektrum
Country of origin:	Germany
Release date:	October 2019
First published:	2019
Authors:	Christoph Lohmann
Dimensions:	210 x 148mm (L x W)
Format:	Paperback
Pages:	283
Edition:	1st ed. 2019
ISBN-13:	978-3-658-27736-9
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	3-658-27736-X
Barcode:	9783658277369

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