Partition of Unity MethodsPARTITION OF UNITY METHODS Master the latest tool in computational mechanics with this brand-new resource from distinguished leaders in the field While it is the number one tool for computer aided design and engineering, the finite element method (FEM) has difficulties with discontinuities, singularities, and moving boundaries. Partition of unity methods addresses these challenges and is now increasingly implemented in commercially available software. Partition of Unity Methods delivers a detailed overview of its fundamentals, in particular the extended finite element method for applications in solving moving boundary problems. The distinguished academics and authors introduce the XFEM as a natural extension of the traditional finite element method (FEM), through straightforward one-dimensional examples which form the basis for the subsequent introduction of higher dimensional problems. This book allows readers to fully understand and utilize XFEM just as it becomes ever more crucial to industry practice. Partition of Unity Methods explores all essential topics on this key new technology, including:
Perfect for researchers and postdoctoral candidates working in the field of computational mechanics, Partition of Unity Methods also has a place in the libraries of senior undergraduate and graduate students working in the field. Finite element and CFD analysts and developers in private industry will also greatly benefit from this book. |
Contents
Introduction | 1 |
A StepbyStep Introduction to Enrichment | 23 |
Partition of Unity Revisited | 67 |
Advanced Topics | 99 |
Applications | 125 |
RecoveryBased Error Estimation and Bounding in XFEM | 145 |
An Efficient Simulation Tool Using Simple Meshes for Problems in Structure | 191 |
eXtended Boundary Element Method XBEM for Fracture Mechanics and Wave Problems | 217 |
Combined Extended Finite Element and Level Set Method XFELSM | 249 |
XFEM for 3D Fracture Simulation | 273 |
XFEM Modeling of Cracked ElasticPlastic Solids | 303 |
An Introduction to Multiscale analysis with XFEM | 329 |
345 | |
Other editions - View all
Partition of Unity Methods Stéphane P. A. Bordas,Alexander Menk,Sundararajan Natarajan Limited preview - 2023 |
Partition of Unity Methods St¿phane Bordas,Alexander Menk,Sundararajan Natarajan Limited preview - 2023 |