03583nam a22004094u 4500 10.1002/9781118535875 Wiley 20251030120310.0 cr nn 008mam|a 231020t2023||||xxu fs| |0|| 0|eng|| 9781118535875 electronic 10.1002/9781118535875 doi eng Partition of Unity Methods [electronic resource] Edited by Stéphane Bordas, Alexander Menk, Sundararajan Natarajan. 1 Wiley 2023 Wiley 2023 368pp.; text txt rdacontent computer c rdamedia online resource cr rdacarrier text file rdaft PDF PARTITION 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: Coverage of the difficulties faced by the finite element method and the impetus behind the development of XFEM The basics of the finite element method, with discussions of finite element formulation of linear elasticity and the calculation of the force vector An introduction to the fundamentals of enrichment A revisitation of the partition of unity enrichment A description of the geometry of enrichment features, with discussions of level sets for stationary interfaces Application of XFEM to bio-film, gradient theories, and three dimensional crack propagation 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. Mechanical Engineering - Design 91103 Numerical Methods & Algorithms Numerical Methods 91548 XFEM; Extended Finite Element Method; Finite Element; Finite Element Method Bordas, Stéphane edt 91730 Menk, Alexander edt 91731 Natarajan, Sundararajan edt 91732 Printed edition: 9780470667088 https://doi.org/10.1002/9781118535875 Wiley Online Library https://onlinelibrary.wiley.com/action/showBook?doi=10.1002%2F9781118535875 Wiley Online Library Cover Image https://onlinelibrary.wiley.com/cms/asset/3e603086-bd3a-4ad1-b540-597a1f59871f/9781118535875.cover.gif Wiley Online Library 67064 67064