Introduction to Finite and Spectral Element Methods

Finite and Spectral Element Methods

Thanks for writing such a wonderful and clear text on finite elements. Your treatment of spectral elements is excellent. NWH, NCAR Boulder, CO
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

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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 FSELIB