Fundamentals of Enriched Finite Element Methods

Fundamentals of Enriched Finite Element Methods
cover
Author(s): Alejandro M. Aragón, C. Armando Duarte

Publisher: Elsevier, Year: 2024

ISBN: 9780323855150

Fundamentals of Enriched Finite Element Methods provides an overview of the different enriched finite element methods, detailed instruction on their use, and also looks at their real-world applications, recommending in what situations they’re best implemented. It starts with a concise background on the theory required to understand the underlying functioning principles behind enriched finite element methods before outlining detailed instruction on implementation of the techniques in standard displacement-based finite element codes. The strengths and weaknesses of each are discussed, as are computer implementation details, including a standalone generalized finite element package, written in Python. The applications of the methods to a range of scenarios, including multi-phase, fracture, multiscale, and immersed boundary (fictitious domain) problems are covered, and readers can find ready-to-use code, simulation videos, and other useful resources on the companion website to the book.
Reviews various enriched finite element methods, providing pros, cons, and scenarios forbest use
Provides step-by-step instruction on implementing these methods
Covers the theory of general and enriched finite element methods