http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Finite Element Methods for Engineering Sciences
Theoretical Approach and Problem Solving Techniques
This self-tutorial offers a concise yet thorough grounding in the mathematics necessary for successfully applying FEMs to practical problems in science and engineering. The unique approach first summarizes and outlines the finite-element mathematics in general and then, in the second and major part, formulates problem examples that clearly demonstrate the techniques of functional analysis via numerous and diverse exercises. The solutions of the problems are given directly afterwards. Using this approach, the author motivates and encourages the reader to actively acquire the knowledge of finite- element methods instead of passively absorbing the material, as in most standard textbooks. The enlarged English-language edition, based on the original French, also contains a chapter on the approximation steps derived from the description of nature with differential equations and then applied to the specific model to be used. Furthermore, an introduction to tensor calculus using distribution theory offers further insight for readers with different mathematical backgrounds.
Summary of Courses on Finite Elements -- Some Fundamental Classes of Finite Elements -- Variational Formulations -- Finite Elements in Deformable Solid Body Mechanics -- Finite Elements Applied to Strength of Materials -- Finite Elements Applied to Non Linear Problems.
Appl.Mathematics/Computational Methods of Engineering
Continuum Mechanics and Mechanics of Materials