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


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Автор: Christoph Lohmann
Название:  Physics-Compatible Finite Element Methods for Scalar and Tensorial Advection Problems
ISBN: 9783658277369
Издательство: Springer
Классификация:




ISBN-10: 365827736X
Обложка/Формат: Soft cover
Страницы: 283
Вес: 0.39 кг.
Дата издания: 2019
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 30 illustrations, black and white; xii, 283 p. 30 illus.
Размер: 210 x 148 x 16
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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.
Дополнительное описание: Equations of Fluid Dynamics.- Finite Element Discretization.- Limiting for Scalars.- Limiting for Tensors.- Simulation of Fiber Suspensions.



Tensorial Methods and Renormalization in Group Field Theories

Автор: Sylvain Carrozza
Название: Tensorial Methods and Renormalization in Group Field Theories
ISBN: 3319058665 ISBN-13(EAN): 9783319058665
Издательство: Springer
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Цена: 19564.00 р.
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Описание: The main focus of this thesis is the mathematical structure of Group Field Theories (GFTs) from the point of view of renormalization theory. Such quantum field theories are found in approaches to quantum gravity related, on the one hand, to Loop Quantum Gravity (LQG) and on the other, to matrix- and tensor models.

Tensorial Methods and Renormalization in Group Field Theories

Автор: Sylvain Carrozza
Название: Tensorial Methods and Renormalization in Group Field Theories
ISBN: 3319358871 ISBN-13(EAN): 9783319358871
Издательство: Springer
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Цена: 14365.00 р.
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Описание: The main focus of this thesis is the mathematical structure of Group Field Theories (GFTs) from the point of view of renormalization theory. Such quantum field theories are found in approaches to quantum gravity related, on the one hand, to Loop Quantum Gravity (LQG) and on the other, to matrix- and tensor models.

Compatible Finite Element Methods for Geophysical Flows

Автор: Thomas H. Gibson; Andrew T.T. McRae; Colin J. Cott
Название: Compatible Finite Element Methods for Geophysical Flows
ISBN: 303023956X ISBN-13(EAN): 9783030239565
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This book introduces recently developed mixed finite element methods for large-scale geophysical flows that preserve essential numerical properties for accurate simulations. The methods are presented using standard models of atmospheric flows and are implemented using the Firedrake finite element library. Examples guide the reader through problem formulation, discretisation, and automated implementation.The so-called “compatible” finite element methods possess key numerical properties which are crucial for real-world operational weather and climate prediction. The authors summarise the theory and practical implications of these methods for model problems, introducing the reader to the Firedrake package and providing open-source implementations for all the examples covered.Students and researchers with engineering, physics, mathematics, or computer science backgrounds will benefit from this book. Those readers who are less familiar with the topic are provided with an overview of geophysical fluid dynamics.

Topological and Non-Topological Solitons in Scalar Field Theories

Автор: Yakov M. Shnir
Название: Topological and Non-Topological Solitons in Scalar Field Theories
ISBN: 1108429912 ISBN-13(EAN): 9781108429917
Издательство: Cambridge Academ
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Цена: 19800.00 р.
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Описание: An introduction to integrable and non-integrable scalar field models, with topological and non-topological soliton solutions. Focusing on both topological and non-topological solitons, this book brings together discussion of solitary waves and construction of soliton solutions and provides a discussion of solitons using simple model examples.


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