Understanding and Implementing the Finite Element Method by Mark Gockenbach
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Understanding and Implementing the Finite Element Method
By Mark Gockenbach

Understanding and Implementing the Finite Element Method

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Format: Paperback

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Understanding and Implementing the Finite Element Method by Mark Gockenbach

Book Description

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.

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Book Details

ISBN: 9780898716146
ISBN-10: 0898716144
Format: Paperback
(247mm x 170mm x 20mm)
Pages: 392
Imprint: Society for Industrial & Applied Mathematics,U.S.
Publisher: Society for Industrial & Applied Mathematics,U.S.
Publish Date: 1-Jan-1987
Country of Publication: United States

Books By Author Mark Gockenbach

Partial Differential Equations by Mark Gockenbach Partial Differential Equations, Hardback (December 2010)

A fresh, forward-looking undergraduate textbook that treats the finite element method and classical Fourier series method with equal emphasis.

» View all books by Mark Gockenbach

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Author Biography - Mark Gockenbach

Mark S. Gockenbach is a Professor of Mathematical Sciences at Michigan Technological University. His research interests include inverse problems, computational optimization, and mathematical software. His first book, Partial Differential Equations: Analytical and Numerical Methods, was published by SIAM in 2002.

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