{"product_id":"physics-compatible-finite-element-methods-for-scalar-and-tensorial-advection-problems-9783658277369","title":"Physics-Compatible Finite Element Methods for Scalar and Tensorial Advection Problems","description":"\u003cp\u003e • Author(s): Christoph Lohmann\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer Spektrum\u003cbr\u003e • BISAC: Counting \u0026amp; Numeration\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eChristoph Lohmann introduces a very general framework for the analysis and design of bound-preserving finite element methods. The results of his in-depth theoretical investigations lead to promising new extensions and modifications of existing algebraic flux correction schemes. The main focus is on new limiting techniques designed to control the range of solution values for advected scalar quantities or the eigenvalue range of symmetric tensors. The author performs a detailed case study for the Folgar-Tucker model of fiber orientation dynamics. Using eigenvalue range preserving limiters and admissible closure approximations, he develops a physics-compatible numerical algorithm for this model.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eContents\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eEquations of Fluid Dynamics\u003c\/li\u003e\n\u003cli\u003eFinite Element Discretization\u003c\/li\u003e\n\u003cli\u003eLimiting for Scalars\u003c\/li\u003e\n\u003cli\u003eLimiting for Tensors\u003c\/li\u003e\n\u003cli\u003eSimulation of Fiber Suspensions\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTarget Groups\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eResearchers and students in the field of applied mathematics\u003c\/li\u003e\n\u003cli\u003eDevelopers of numerical methods for transport equations and of general-purpose simulation software for computational fluid dynamics, engineers in the field of fiber suspension flows and injection molding processes\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eThe Author\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e \u003cp\u003eChristoph Lohmann is a postdoctoral researcher in the Department of Mathematics at TU Dortmund University. His research activities are focused on numerical analysis of finite element methods satisfying discrete maximum principles.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45274315358359,"sku":"9783658277369","price":4774.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783658277369.webp?v=1769279562","url":"https:\/\/atlanticbooks.com\/products\/physics-compatible-finite-element-methods-for-scalar-and-tensorial-advection-problems-9783658277369","provider":"Atlantic Books","version":"1.0","type":"link"}