In the name of Allah the Merciful

Fundamentals of Enriched Finite Element Methods

Alejandro M. Aragón, C. Armando Duarte, B0CN365H3R, 0323855156, 0323855164, 9780323855150, 978-0323855150, 978-0-323-85515-0, 9780323855167, 978-0323855167

English | 2024 | PDF | 17 MB | 296 Pages

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Fundamentals of Enriched Finite Element Methods provides an overview of the different enriched finite element methods, detailed instruction on their use, and their real-world applications, recommending in what situations they are best implemented. It starts with a concise background on the theory required to understand the underlying principles behind the 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 multiphase, 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 of 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