Braess, Dietrich, 1938-
[Finite Elemente. Inglés]
Finite elements : theory, fast solvers, and applications in solid mechanics / Dietrich Braess ; translated by Larry L. Schumaker.
— Cambridge, U.K. : Cambridge University Press, 1997. xvi, 323 p. : il. ; 23 cm.
Traducción revisada de: Finite Elemente. Berlin : Springer, 1992.
Incluye referencias bibliográficas (p. 309-318) e índice.
Contenido: 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.
ISBN 0521588340 (pbk.). — ISBN 0521581877
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