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Mimetic Discretization Methods, Castillo, Jose E. , Miranda, Guillermo F.


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Автор: Castillo, Jose E. , Miranda, Guillermo F.
Название:  Mimetic Discretization Methods
ISBN: 9780367380434
Издательство: Taylor&Francis
Классификация:
ISBN-10: 0367380439
Обложка/Формат: Paperback
Страницы: 260
Вес: 1.06 кг.
Дата издания: 27.09.2019
Язык: English
Размер: 231 x 152 x 15
Читательская аудитория: Tertiary education (us: college)
Основная тема: Mathematical Physics
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
Описание:

To help solve physical and engineering problems, mimetic or compatible algebraic discretization methods employ discrete constructs to mimic the continuous identities and theorems found in vector calculus. Mimetic Discretization Methods focuses on the recent mimetic discretization method co-developed by the first author. Based on the Castillo-Grone operators, this simple mimetic discretization method is invariably valid for spatial dimensions no greater than three. The book also presents a numerical method for obtaining corresponding discrete operators that mimic the continuum differential and flux-integral operators, enabling the same order of accuracy in the interior as well as the domain boundary.

After an overview of various mimetic approaches and applications, the text discusses the use of continuum mathematical models as a way to motivate the natural use of mimetic methods. The authors also offer basic numerical analysis material, making the book suitable for a course on numerical methods for solving PDEs. The authors cover mimetic differential operators in one, two, and three dimensions and provide a thorough introduction to object-oriented programming and C++. In addition, they describe how their mimetic methods toolkit (MTK)--available online--can be used for the computational implementation of mimetic discretization methods. The text concludes with the application of mimetic methods to structured nonuniform meshes as well as several case studies.

Compiling the authors many concepts and results developed over the years, this book shows how to obtain a robust numerical solution of PDEs using the mimetic discretization approach. It also helps readers compare alternative methods in the literature.



Advances in Discretization Methods

Автор: Ventura
Название: Advances in Discretization Methods
ISBN: 3319412450 ISBN-13(EAN): 9783319412450
Издательство: Springer
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Цена: 139310.00 T
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Описание: This book gathers selected contributions on emerging research work presented at the International Conference eXtended Discretization MethodS (X-DMS), held in Ferrara in September 2015. It highlights the most relevant advances made at the international level in the context of expanding classical discretization methods, like finite elements, to the numerical analysis of a variety of physical problems. The improvements are intended to achieve higher computational efficiency and to account for special features of the solution directly in the approximation space and/or in the discretization procedure. The methods described include, among others, partition of unity methods (meshfree, XFEM, GFEM), virtual element methods, fictitious domain methods, and special techniques for static and evolving interfaces. The uniting feature of all contributions is the direct link between computational methodologies and their application to different engineering areas.

Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics

Автор: Timothy J. Barth; Herman Deconinck
Название: Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics
ISBN: 3642078419 ISBN-13(EAN): 9783642078415
Издательство: Springer
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Цена: 153720.00 T
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Описание: As computational fluid dynamics (CFD) is applied to ever more demanding fluid flow problems, the ability to compute numerical fluid flow solutions to a user specified tolerance as well as the ability to quantify the accuracy of an existing numerical solution are seen as essential ingredients in robust numerical simulation.

Advances in Discretization Methods: Discontinuities, Virtual Elements, Fictitious Domain Methods

Автор: Ventura Giulio, Benvenuti Elena
Название: Advances in Discretization Methods: Discontinuities, Virtual Elements, Fictitious Domain Methods
ISBN: 331982306X ISBN-13(EAN): 9783319823065
Издательство: Springer
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Цена: 93160.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The methods described include, among others, partition of unity methods (meshfree, XFEM, GFEM), virtual element methods, fictitious domain methods, and special techniques for static and evolving interfaces.


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