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The finite element method : theory, implementation, and applications

Author: Mats G Larson; Fredrik Bengzon
Publisher: Berlin ; New York : Springer, ©2013.
Series: Texts in computational science and engineering, 10.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Mats G Larson; Fredrik Bengzon
ISBN: 9783642332876 3642332870 3642332862 9783642332869
OCLC Number: 826637604
Description: 1 online resource.
Contents: Piecewise Polynomial Approximation in 1D --
The Finite Element Method in 1D --
Piecewise Polynomial Approximation in 2D --
The Finite Element Method in 2D --
Time-Dependent Problems --
Solving Large Sparse Linear Systems --
Abstract Finite Element Analysis --
The Finite Element --
Non-linear Problems --
Transport Problems --
Solid Mechanics --
Fluid Mechanics --
Electromagnetics --
Discontinuous Galerkin Methods.
Series Title: Texts in computational science and engineering, 10.
Responsibility: Mats G. Larson, Fredrik Bengzon.

Abstract:

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  Read more...

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