Finite Element Methods in Civil and Mechanical Engineering

Book Description The finite element method is widely employed for numerical simulations in engineering and science due to its accuracy and efficiency. This concise introduction to the mathematical theory of the finite element method presents a selection of applications in civil and mechanical engineering including beams, elastic membranes, the wave equation, heat transfer, seepage in embankment, soil consolidation, incompressible fluids, and linear elasticity. Jupyter notebooks containing all Python programs of each chapter can be downloaded from the book's companion website.

Content

Chapter 1. Overview
Chapter 2. Mathematical Preliminaries
Chapter 3. Finite Element Interpolation
Chapter 4. Conforming Finite Element Methods for PDEs
Chapter 5. Applications