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From the Contents: Introduction to functional analytical methods of partial differential equations -- The finite element method -- Variational Formulations of elliptic boundary problems -- Finite Elements and differential Introduction to functional analytical methods of partial differential equations -- The finite element method -- Variational Formulations of elliptic boundary problems.

This self-tutorial offers a concise yet thorough introduction into the mathematical analysis of approximation methods for partial differential equation. A particular emphasis is put on finite element methods. 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. This English edition is based on the Finite Element Methods for Engineering Sciences by Joel Chaskalovic.