{"product_id":"9780470667088-partition-of-unity-methods-c","title":"Partition of Unity Methods","description":"\u003cmeta content=\"text\/html; charset=utf-8\" http-equiv=\"Content-Type\"\u003e\u003cp\u003e\u003cspan\u003eAn understanding of the extended finite element method (XFEM) is critical for users, developers, researchers, and engineers working on industrial products. The first guide to the foundations of XFEM and its implementation, this book demystifies the theory behind this method and makes it accessible to anyone with previous knowledge of FEM.\u003cbr\u003e\u003cb\u003ePARTITION OF UNITY METHODS\u003c\/b\u003e \u003cp\u003e\u003cb\u003eMaster the latest tool in computational mechanics with this brand-new resource from distinguished leaders in the field\u003c\/b\u003e \u003c\/p\u003e\n\u003cp\u003eWhile 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. \u003ci\u003ePartition of Unity Methods \u003c\/i\u003edelivers 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. \u003c\/p\u003e\n\u003cp\u003e\u003ci\u003ePartition of Unity Methods \u003c\/i\u003eexplores all essential topics on this key new technology, including: \u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eCoverage of the difficulties faced by the finite element method and the impetus behind the development of XFEM\u003c\/li\u003e\n\u003cli\u003eThe basics of the finite element method, with discussions of finite element formulation of linear elasticity and the calculation of the force vector\u003c\/li\u003e\n\u003cli\u003eAn introduction to the fundamentals of enrichment\u003c\/li\u003e\n\u003cli\u003eA revisitation of the partition of unity enrichment\u003c\/li\u003e\n\u003cli\u003eA description of the geometry of enrichment features, with discussions of level sets for stationary interfaces\u003c\/li\u003e\n\u003cli\u003eApplication of XFEM to bio-film, gradient theories, and three dimensional crack propagation\u003c\/li\u003e\n\u003c\/ul\u003e \u003cp\u003ePerfect for researchers and postdoctoral candidates working in the field of computational mechanics, \u003ci\u003ePartition of Unity Methods \u003c\/i\u003ealso 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.\u003c\/p\u003e\n\u003cbr\u003e\u003cbr\u003e\u003c\/span\u003e\u003c\/p\u003e","brand":"Rarewaves","offers":[{"title":"Default Title","offer_id":41091757703265,"sku":"9780470667088","price":97.03,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0092\/7504\/8033\/files\/orig_26948763.jpg?v=1721379274","url":"https:\/\/www.rarewaves.com\/products\/9780470667088-partition-of-unity-methods-c","provider":"Rarewaves.com","version":"1.0","type":"link"}