Understanding and Implementing the Finite Element Method

by Mark S. Gockenbach

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.

392 pages, Paperback

First published January 1, 1987

Reviews

[FluffyMao · Rating 4 out of 5]

fast-paced
4.0

The fact that the original Matlab codes (that are constantly mentioned) aren't included in the book is very frustrating. They're no longer available online on the author'swesite either, so that explanatory code is just gone now.
Otherwise good explanations, if it goes through the material a bit fast.