05074nam 22008415 450 991043786830332120200630020436.03-642-33287-010.1007/978-3-642-33287-6(CKB)2670000000327996(EBL)1082669(OCoLC)827212422(SSID)ssj0000878910(PQKBManifestationID)11463991(PQKBTitleCode)TC0000878910(PQKBWorkID)10850197(PQKB)11228064(DE-He213)978-3-642-33287-6(MiAaPQ)EBC6314882(MiAaPQ)EBC1082669(Au-PeEL)EBL1082669(CaPaEBR)ebr10976362(PPN)168324032(EXLCZ)99267000000032799620130125d2013 u| 0engur|n|---|||||txtccrThe Finite Element Method: Theory, Implementation, and Applications /by Mats G. Larson, Fredrik Bengzon1st ed. 2013.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2013.1 online resource (401 p.)Texts in Computational Science and Engineering,1611-0994 ;10Description based upon print version of record.3-642-44711-2 3-642-33286-2 Includes bibliographical references and index.1. Piecewise Polynomial Approximation in 1D -- 2. The Finite Element Method in 1D -- 3. Piecewise Polynomial Approximation in 2D -- 4. The Finite Element Method in 2D -- 5. Time-dependent Problems -- 6. Solving Large Sparse Linear Systems -- 7. Abstract Finite Element Analysis -- 8. The Finite Element -- 9. Non-linear Problems -- 10. Transport Problems -- 11. Solid Mechanics -- 12. Fluid Mechanics -- 13. Electromagnetics -- 14. Discontinuous Galerkin Methods -- A. Some Additional Matlab Code -- References.This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics. .Texts in Computational Science and Engineering,1611-0994 ;10Computer mathematicsPartial differential equationsMechanicsMechanics, AppliedComputer-aided engineeringComputational Science and Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/M14026Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Theoretical and Applied Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15001Computer-Aided Engineering (CAD, CAE) and Designhttps://scigraph.springernature.com/ontologies/product-market-codes/I23044Computational Mathematics and Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M1400XComputer mathematics.Partial differential equations.Mechanics.Mechanics, Applied.Computer-aided engineering.Computational Science and Engineering.Partial Differential Equations.Theoretical and Applied Mechanics.Computer-Aided Engineering (CAD, CAE) and Design.Computational Mathematics and Numerical Analysis.518/.25004sdnbLarson Mats Gauthttp://id.loc.gov/vocabulary/relators/aut1058928Bengzon Fredrikauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910437868303321The Finite Element Method: Theory, Implementation, and Applications2503225UNINA