Finite Element Method: Theory, Implementation, and Applications

AvMats G. Larson,Fredrik Bengzon

Häftad, Engelska, 2015

Del 10 i serien Texts in Computational Science and Engineering

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Beskrivning

Introducing the finite element method as a general computational method for solving partial differential equations approximately, this book goes on to cover important applications including diffusion and transport phenomena, solid and fluid mechanics and more.

Produktinformation

Utgivningsdatum:2015-06-25
Mått:156 x 234 x 22 mm
Vikt:581 g
Format:Häftad
Språk:Engelska
Serie:Texts in Computational Science and Engineering
Antal sidor:395
Upplaga:2013
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783642447112

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Recensioner i media

From the reviews: "The authors give an introduction to the finite element method as a general computational method for solving partial differential equations (PDEs) approximately. ... The book 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." (Razvan Raducanu, Zentralblatt MATH, Vol. 1263, 2013)

Innehållsförteckning

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.