000 03790nam a22005535i 4500
001 978-3-642-33287-6
003 DE-He213
005 20140220082855.0
007 cr nn 008mamaa
008 130125s2013 gw | s |||| 0|eng d
020 _a9783642332876
_9978-3-642-33287-6
024 7 _a10.1007/978-3-642-33287-6
_2doi
050 4 _aQA71-90
072 7 _aPDE
_2bicssc
072 7 _aCOM014000
_2bisacsh
072 7 _aMAT003000
_2bisacsh
082 0 4 _a004
_223
100 1 _aLarson, Mats G.
_eauthor.
245 1 4 _aThe Finite Element Method: Theory, Implementation, and Applications
_h[electronic resource] /
_cby Mats G. Larson, Fredrik Bengzon.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2013.
300 _aXVII, 385 p. 84 illus., 5 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTexts in Computational Science and Engineering,
_x1611-0994 ;
_v10
505 0 _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.
520 _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.     
650 0 _aMathematics.
650 0 _aComputer aided design.
650 0 _aDifferential equations, partial.
650 0 _aComputer science
_xMathematics.
650 0 _aComputer science.
650 0 _aMechanics, applied.
650 1 4 _aMathematics.
650 2 4 _aComputational Science and Engineering.
650 2 4 _aPartial Differential Equations.
650 2 4 _aTheoretical and Applied Mechanics.
650 2 4 _aComputer-Aided Engineering (CAD, CAE) and Design.
650 2 4 _aComputational Mathematics and Numerical Analysis.
700 1 _aBengzon, Fredrik.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642332869
830 0 _aTexts in Computational Science and Engineering,
_x1611-0994 ;
_v10
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-33287-6
912 _aZDB-2-SMA
999 _c97358
_d97358