Aragon A. Fundamentals of Enriched Finite Element Methods 2024

Textbook in PDF format

Preface
Introduction
Fundamentals
The p-version of the finite element method
The Generalized Finite Element Method
Discontinuity-enriched finite element formulations
Applications
GFEM approximations for fractures
Generalized enrichment functions for weak discontinuities
Immerse boundary (fictitious domain) problems
Non-conforming mesh coupling and contact
Interface-enriched topology optimization
Computational aspects
Computational aspects
Approximation theory for partition of unity methods
Recollections of the origins of the GFEM
Index