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100   $a20130125d2013      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 14$aThe Finite Element Method: Theory, Implementation, and Applications /$fby Mats G. Larson, Fredrik Bengzon
205   $a1st ed. 2013.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2013.
215   $a1 online resource (401 p.)
225 1 $aTexts in Computational Science and Engineering,$x1611-0994 ;$v10
300   $aDescription based upon print version of record.
311   $a3-642-44711-2 
311   $a3-642-33286-2 
320   $aIncludes bibliographical references and index.
327   $a1. 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.
330   $aThis book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics. .
410  0$aTexts in Computational Science and Engineering,$x1611-0994 ;$v10
606   $aComputer mathematics
606   $aPartial differential equations
606   $aMechanics
606   $aMechanics, Applied
606   $aComputer-aided engineering
606   $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aTheoretical and Applied Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15001
606   $aComputer-Aided Engineering (CAD, CAE) and Design$3https://scigraph.springernature.com/ontologies/product-market-codes/I23044
606   $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X
615  0$aComputer mathematics.
615  0$aPartial differential equations.
615  0$aMechanics.
615  0$aMechanics, Applied.
615  0$aComputer-aided engineering.
615 14$aComputational Science and Engineering.
615 24$aPartial Differential Equations.
615 24$aTheoretical and Applied Mechanics.
615 24$aComputer-Aided Engineering (CAD, CAE) and Design.
615 24$aComputational Mathematics and Numerical Analysis.
676   $a518/.25
686   $a004$2sdnb
700   $aLarson$b Mats G$4aut$4http://id.loc.gov/vocabulary/relators/aut$01058928
702   $aBengzon$b Fredrik$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910437868303321
996   $aThe Finite Element Method: Theory, Implementation, and Applications$92503225
997   $aUNINA