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Advances in Adaptive Computational Methods in Mechanics
of: P. Ladeveze, J.T. Oden (Eds.)
Elsevier Textbooks, 1998
ISBN: 9780080525938
Format: PDF, ePUB, Read online
Copy protection: DRM
Cover
1
Advances in Adaptive Computational Methods in Mechanics
4
Copyright Page
5
Contents
8
Preface
6
PART 1: ERROR ESTIMATORS AND ADAPTIVE COMPUTATIONAL METHODS FOR LINEAR PROBLEMS
12
Chapter 1. Recovery procedures in error estimation and adaptivity: Adaptivity in linear problems
14
Chapter 2. The relationship of some a posteriori error estimators
36
Chapter 3. A technique for a posteriori error estimation of h-p approximations of the Stokes equations
54
Chapter 4. A mathematical framework for the P. Ladevèze a posteriori error bounds in finite element methods
76
PART 2: MODELLING ERROR ESTIMATORS AND ADAPTIVE MODELLING STRATEGIES
90
Chapter 5. Adaptive finite element in elastoplasticity with mechanical error indicators and Neumann- type estimators
92
Chapter 6. A reliable a posteriori error estimator for adaptive hierarchic modelling
112
Chapter 7. A two-scale strategy and a posteriori error estimation for modeling heterogeneous structures
126
Chapter 8. A modelling error estimator for dynamic structural model updating
146
PART 3: LOCAL ERROR ESTIMATORS FOR LINEAR PROBLEMS
164
Chapter 9. A posteriori estimation of the error in the error estimate
166
Chapter 10. Bounds for linear-functional outputs of coercive partial differential equations: Local indicators and adaptive refinement
210
Chapter 11. On adaptivity and error criteria in meshfree methods
228
PART 4: ERROR ESTIMATORS FOR NON LINEAR TIME-DEPENDENT PROBLEMS AND ADAPTIVE COMPUTATIONAL METHODS
240
Chapter 12. A posteriori constitutive relation error estimators for nonlinear finite element analysis and adaptive control
242
Chapter 13. A review of a posteriori error estimation techniques for elasticity problems
268
Chapter 14. A posteriori error control and mesh adaptation for EE. models in elasticity and elasto- plasticity
286
Chapter 15. An adaptive finite element approach in associated and non-associated plasticity considering localization phenomena
304
Chapter 16. An a-adaptivity approach for advective-diffusive and fluid flow problems
320
Chapter 17. Adaptive strategy for transient/coupled problems. Applications to thermoelasticity and elastodynamics
336
Chapter 18. Error estimation and adaptive finite element analysis of softening solids
344
Chapter 19. Aspects of adaptive strategies for large deformation problems at finite inelastic strains
360
Chapter 20. Adaptive solutions in industrial forming process simulation
376
Chapter 21. Recovery procedures in error estimation and adaptivity: Adaptivity in non-linear problems of elasto-plasticity behaviour
394
PART 5: ADAPTIVE COMPUTATIONAL METHODS FOR 3D LINEAR PROBLEMS
422
Chapter 22. 3-D error estimation and mesh adaptation using improved R.E.P. method
424
Chapter 23. Adaptive methods and related issues from the viewpoint of hybrid equilibrium finite element models
438
Chapter 24. Error estimator and adaptivity for three-dimensional finite element analyses
454
PART 6: ERROR ESTIMATORS AND MESH ADAPTIVITY FOR VIBRATION, ACOUSTICS AND ELECTROMAGNETICS PROBLEMS
470
Chapter 25. Error estimation and adaptivity for h-version eigenfrequency analysis
472
Chapter 26. Error estimation and adaptivity for the finite element method in acoustics
488
Chapter 27. Error through the constitutive relation for beam or C° plate finite element: Static and vibration analyses
504
Chapter 28. A posteriori error analysis for steady-state Maxwell's equation
524
AUTHOR INDEX
538
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