Thanks for writing such a
wonderful and clear text on finite elements.
Your treatment of spectral elements is excellent.
An excellent source on spectral finite elements (includes code) is the recent book by Pozrikidis: Introduction to Finite and Spectral Element Methods using MATLAB (snippets from the chapters). The style and content is aligned with that of a textbook and not a research monograph. It provides a very nice transition from finite elements to spectral. One should get a good grasp on the theory/properties of spectral (modal/nodal) bases, and the author has filled in the many gaps so as to make the book self-contained. A must read for anyone interested in higher-order finite elements.
N.Sukumar, UC Davis
Saturday, 18-May-2013 06:49:38 UTC
Introduction to Finite and Spectral Element Methods
Taylor & Francis/CRC
Table of Contents
Barnes & Noble
Why this book?
Several hundred books on finite element
methods are available. This book is unique in that:
Finite and element and spectral element methods are discussed.
The methods are developed in the broad context
of ordinary and partial differential equations.
Applications and implentations are discussed for
Laplace, Helmholtz, Stokes, Navier-Stokes, elasticity,
structural mechanics and other problems.
Emphasis is placed on essential algorithms and computer implementation.
Practical computational experience gained simultaneously thanks to
the FSELIB library--a free library of MATLAB functions and codes.
Self-contained grid-generation modules are provided.
A concise MATLAB primer is given in an Appendix.
This book is accompanied by the software library