This is the third book in a series designed to make the fnite element method and adaptive refinement more accessible. The frst book, A Unifed Approach to the Finite Element Method and Error Analysis Procedures, laid the theoretical background for simplifying and extending the fnite element and fnite difference methods by introducing the use of a physically interpretable notation. This notation simplifes and extends computational mechanics by reversing the usual mathematical approach of abstracting the notation used in the development. By introducing variables that represent rigid body motions and strain quantities, the modeling capabilities of individual elements and the solution algorithms can be evaluated for accuracy by visual inspection. The second book, The Essentials of Finite Element Modeling and Adaptive Refnement, demonstrated the validity of the derivations contained in the frst book and extended the simplification of element formulation and improved the error measures.
This book, as its title indicates, presents a straightforward introduction to the fnite element method, error analysis, and adaptive refnement. As such, it provides an easy-to-read overview that allows the contents of other fnite element books and fnite element courses to be seen in perspective as the various procedures are encountered. Furthermore, it provides developments that improve the procedures contained in the standard fnite element textbook. As a result, when this book is used alone or in conjunction with other presentations, the reader is capable of critically assessing the capabilities of the fnite element method.
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