Enhanced Introduction to Finite Elements for Engineers

The book provides a comprehensive introduction to the Galerkin Finite Element Method for linear boundary value problems, focusing on its theoretical foundation and practical applications. It covers time-dependent and nonlinear problems, non-linear dynamics, and multi-physics problems, with hand-calculation exercises and computer exercises. Prior knowledge in engineering mathematics is required, and students should have an education in strength of materials or another engineering field.

Format: Hardback
Length: 197 pages
Publication date: 01 June 2023
Publisher: Springer International Publishing AG

The book delves into the intricate realm of the Galerkin Finite Element Method, offering a comprehensive and engineering-oriented approach to solving linear boundary value problems. With a strong theoretical foundation rooted in Functional Analysis, it aims to make the method accessible to engineers and provide a solid understanding of its principles.

The book explores standard procedures for applying the Galerkin Finite Element Method to time-dependent and nonlinear problems, addressing key aspects of its application to non-linear dynamics and multi-physics scenarios. It also includes a wealth of hand-calculation exercises and specific computer exercises designed to enhance the learning experience and foster a deeper understanding of the method.

Approximately one-fourth of the exercises in the book focus on identifying common pitfalls and sources of errors when applying the Galerkin Finite Element Method. These exercises serve as valuable tools for honing the skills and expertise of the reader.

To further enrich the reader's knowledge, the book concludes each chapter with carefully selected literature recommendations for further studies. These references provide valuable insights and avenues for exploring the subject matter in greater depth.

It is important to note that the book assumes a foundational understanding of engineering mathematics, particularly real analysis and linear algebra. The appendix provides concise explanations of the algebra and analysis elements required throughout the main text, ensuring that readers have the necessary prerequisites to fully engage with the material.

Furthermore, students embarking on this journey should possess a solid education in strength of materials or another engineering field that discusses boundary value problems for simple geometries and boundary conditions. This background will provide a strong foundation for understanding the complexities and applications of the Galerkin Finite Element Method.

In summary, the book serves as a valuable resource for engineers seeking to master the Galerkin Finite Element Method and apply it to solve complex engineering problems. With its comprehensive coverage, practical exercises, and extensive literature recommendations, it equips readers with the skills and knowledge necessary to excel in this field.

Weight: 489g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031304217
Edition number: 1st ed. 2023