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Understanding and Implementing the Finite Element Method, Gockenbach


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Автор: Gockenbach
Название:  Understanding and Implementing the Finite Element Method
Перевод названия: Гоккенбах: Понимание и реализация метода конечных элементов
ISBN: 9780898716146
Издательство: Mare Nostrum (Eurospan)
Классификация:









ISBN-10: 0898716144
Обложка/Формат: Paperback
Страницы: 392
Вес: 0.65 кг.
Дата издания: 01.04.2008
Серия: Numerical analysis
Язык: English
Иллюстрации: Illustrations
Размер: 191 x 370 x 24
Читательская аудитория: Tertiary education (us: college)
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание: The finite element method is the most powerful general-purpose technique for computing accurate solutions to partial differential equations. This book contains a thorough derivation of the finite element equations as well as sections on programming the necessary calculations, solving the finite element equations, and using a posteriori error estimates to produce validated solutions. Accessible introductions to advanced topics, such as multigrid solvers, the hierarchical basis conjugate gradient method, and adaptive mesh generation, are provided. Each chapter ends with exercises to help readers master these topics. The book is practical in nature. It includes a carefully documented collection of MATLAB programs implementing the ideas presented. Readers will benefit from a detailed explanation of data structures and specific coding strategies and will learn how to write a finite element code from scratch. Students can use the MATLAB codes to experiment with the method and extend them in various ways.

Least-Squares Finite Element Methods

Автор: Pavel B. Bochev; Max D. Gunzburger
Название: Least-Squares Finite Element Methods
ISBN: 0387308881 ISBN-13(EAN): 9780387308883
Издательство: Springer
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Цена: 111790.00 T
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Описание: Since their emergence finite element methods have become one of the most versatile and powerful methodologies for the approximate numerical solution of PDEs. Today finite element methods are in common use for incompressible fluid flow, heat, transfer, electromagnetics, and convection-diffusion-reaction problems, to name a few. This book is written with the premise that there is a real, existing need to put least-squares finite elemenet methods on a common mathematically sound foundation. It is intended to give both the researcher and the practitioner a concise guide to the theory and practice of least-square finite element methods, their strengths and weaknesses, established successes, and open problems. Appendices provide results from functional analysis and standard finite theory which are used in various places in the book.


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