Understanding and Implementing the Finite Element Method

Gockenbach, Mark S.

ISBN 10: 0898716144 / ISBN 13: 9780898716146

Published by Society for Industrial and A., US, 1987

About this Item

A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes, minimal highlighting. The spine remains undamaged. 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.

Seller Inventory # RWARE0000062197

Bibliographic Details

• Title: Understanding and Implementing the Finite Element Method
• Publisher: Society for Industrial and A., US
• Publication Date: 1987
• Language: English
• ISBN 10: 0898716144
• ISBN 13: 9780898716146
• Binding: Paperback
• Condition: Very Good
• Seller catalogs:
  • Sciences::Mathematics

About this title

Synopsis

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.

About the Author

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.