Finite elements : theory, fast solvers, and applications in solid mechanics

著者

• Braess, Dietrich
• Schumaker, Larry L.

書誌事項

Finite elements : theory, fast solvers, and applications in solid mechanics

Dietrich Braess ; translated by Larry L. Schumaker

Cambridge University Press, 1997

• : hbk
• : pbk

タイトル別名

Finite Elemente

注記

Includes bibriographical references and index

内容説明・目次

内容説明

The most important application of the finite element method is the numerical solution of elliptical partial differential equations. This is covered in depth in this book. It is a textbook for graduate students who do not necessarily have any particular background in differential equations, but require an introduction to finite elements for engineering or mathematics applications.

目次

• 1. Examples and classification of PDEs
• 2. The maximum principle
• 3. Finite difference methods
• 4. A convergence theory for difference methods
• 5. Sobolev spaces
• 6. Variational formulation of elliptic boundary-value problems of second order
• 7. The Neumann boundary-value problem
• 8. The Ritz-Galerkin method and simple finite elements
• 9. Some standard finite elements
• 10. Approximation properties
• 11. Error bounds for elliptic problems of second order
• 12. Computational considerations
• 13. Abstract lemmas and a simple boundary approximation
• 14. Isoperimetric elements
• 15. Further tools from functional analysis
• 16. Saddle point problems
• 17. Stokes' equation
• 18. Finite elements for the Stokes problem
• 19. A posteriori error estimates
• 20. Classical iterative methods for solving linear systems
• 21. Gradient methods
• 22. Conjugate gradient and minimal residual methods
• 23. Preconditioning
• 24. Saddle point problems
• 25. Multigrid methods for variational problems
• 26. Convergence of multigrid methods
• 27. Convergence for several levels
• 28. Nested iteration
• 29. Nonlinear problems
• 30. Introduction to elasticity
• 31. Hyperelastic problems
• 32. Linear elasticity theory
• 33. Membranes
• 34. Beams and plates: the Kirchhoff Plate
• 35. The Mindlin-Reissner Plate.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA30923076
• ISBN:
  • 0521581877
  • 0521588340
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 原本言語コード: ger
• 出版地: Cambridge
• ページ数/冊数: xvi, 323 p.
• 大きさ: 24 cm