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Finite elements : theory, fast solvers, and applications in elasticity theory / Dietrich Braess ; translated by Larry L. Shumaker.

By: Contributor(s): Material type: TextTextLanguage: English Original language: German Publisher: Cambridge : Cambridge University Press, 2007Edition: Third editionDescription: 1 online resource (xvii, 365 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511618635 (ebook)
Uniform titles:
  • Finite Elemente. English
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 620.001515353 22
LOC classification:
  • TA347.F5 B7313 2007
Online resources: Summary: This definitive introduction to finite element methods was thoroughly updated for this 2007 third edition, which features important material for both research and application of the finite element method. The discussion of saddle-point problems is a highlight of the book and has been elaborated to include many more nonstandard applications. The chapter on applications in elasticity now contains a complete discussion of locking phenomena. The numerical solution of elliptic partial differential equations is an important application of finite elements and the author discusses this subject comprehensively. These equations are treated as variational problems for which the Sobolev spaces are the right framework. Graduate students who do not necessarily have any particular background in differential equations, but require an introduction to finite element methods will find this text invaluable. Specifically, the chapter on finite elements in solid mechanics provides a bridge between mathematics and engineering.
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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

This definitive introduction to finite element methods was thoroughly updated for this 2007 third edition, which features important material for both research and application of the finite element method. The discussion of saddle-point problems is a highlight of the book and has been elaborated to include many more nonstandard applications. The chapter on applications in elasticity now contains a complete discussion of locking phenomena. The numerical solution of elliptic partial differential equations is an important application of finite elements and the author discusses this subject comprehensively. These equations are treated as variational problems for which the Sobolev spaces are the right framework. Graduate students who do not necessarily have any particular background in differential equations, but require an introduction to finite element methods will find this text invaluable. Specifically, the chapter on finite elements in solid mechanics provides a bridge between mathematics and engineering.

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