Elsevier S & T

Advances in Adaptive Computational Methods in Mechanics

Ladeveze, P.; Oden, J.T.

In stock
No reviews
105.500 KD inc. VAT
License
Table of contents
  • Advances in Adaptive Computational Methods in Mechanicsiii
  • Copyright Pageiv
  • Contentsvii
  • Prefacev
  • PART 1: ERROR ESTIMATORS AND ADAPTIVE COMPUTATIONAL METHODS FOR LINEAR PROBLEMS1
  • Chapter 1. Recovery procedures in error estimation and adaptivity: Adaptivity in linear problems3
  • Chapter 2. The relationship of some a posteriori error estimators25
  • Chapter 3. A technique for a posteriori error estimation of h-p approximations of the Stokes equatio43
  • Chapter 4. A mathematical framework for the P. Ladevèze a posteriori error bounds in finite element65
  • PART 2: MODELLING ERROR ESTIMATORS AND ADAPTIVE MODELLING STRATEGIES79
  • Chapter 5. Adaptive finite element in elastoplasticity with mechanical error indicators and Neumann-81
  • Chapter 6. A reliable a posteriori error estimator for adaptive hierarchic modelling101
  • Chapter 7. A two-scale strategy and a posteriori error estimation for modeling heterogeneous structu115
  • Chapter 8. A modelling error estimator for dynamic structural model updating135
  • PART 3: LOCAL ERROR ESTIMATORS FOR LINEAR PROBLEMS153
  • Chapter 9. A posteriori estimation of the error in the error estimate155
  • Chapter 10. Bounds for linear-functional outputs of coercive partial differential equations: Local i199
  • Chapter 11. On adaptivity and error criteria in meshfree methods217
  • PART 4: ERROR ESTIMATORS FOR NON LINEAR TIME-DEPENDENT PROBLEMS AND ADAPTIVE COMPUTATIONAL METHODS229
  • Chapter 12. A posteriori constitutive relation error estimators for nonlinear finite element analysi231
  • Chapter 13. A review of a posteriori error estimation techniques for elasticity problems257
  • Chapter 14. A posteriori error control and mesh adaptation for EE. models in elasticity and elasto-275
  • Chapter 15. An adaptive finite element approach in associated and non-associated plasticity consider293
  • Chapter 16. An α-adaptivity approach for advective-diffusive and fluid flow problems309
  • Chapter 17. Adaptive strategy for transient/coupled problems. Applications to thermoelasticity and e325
  • Chapter 18. Error estimation and adaptive finite element analysis of softening solids333
  • Chapter 19. Aspects of adaptive strategies for large deformation problems at finite inelastic strain349
  • Chapter 20. Adaptive solutions in industrial forming process simulation365
  • Chapter 21. Recovery procedures in error estimation and adaptivity: Adaptivity in non-linear problem383
  • PART 5: ADAPTIVE COMPUTATIONAL METHODS FOR 3D LINEAR PROBLEMS411
  • Chapter 22. 3-D error estimation and mesh adaptation using improved R.E.P. method413
  • Chapter 23. Adaptive methods and related issues from the viewpoint of hybrid equilibrium finite elem427
  • Chapter 24. Error estimator and adaptivity for three-dimensional finite element analyses443
  • PART 6: ERROR ESTIMATORS AND MESH ADAPTIVITY FOR VIBRATION, ACOUSTICS AND ELECTROMAGNETICS PROBLEMS459
  • Chapter 25. Error estimation and adaptivity for h-version eigenfrequency analysis461
  • Chapter 26. Error estimation and adaptivity for the finite element method in acoustics477
  • Chapter 27. Error through the constitutive relation for beam or C° plate finite element: Static and493
  • Chapter 28. A posteriori error analysis for steady-state Maxwell's equation513
  • AUTHOR INDEX527
Book details
  • Vendor Elsevier S & T
  • SKU 9780080433271
  • ISBN-13 9780080525938
  • Author Ladeveze, P.; Oden, J.T.
  • Category Technology & Engineering
  • Subject Materials Science

Do you have questions about this book?

Ask an expert!

Description eBook delivery & access Reviews
Mastering modelling, and in particular numerical models, is becoming a crucial and central question in modern computational mechanics. Various tools, able to quantify the quality of a model with regard to another one taken as the reference, have been derived. Applied to computational strategies, these tools lead to new computational methods which are called "adaptive". The present book is concerned with outlining the state of the art and the latest advances in both these important areas.

Papers are selected from a Workshop (Cachan 17-19 September 1997) which is the third of a series devoted to Error Estimators and Adaptivity in Computational Mechanics. The Cachan Workshop dealt with latest advances in adaptive computational methods in mechanics and their impacts on solving engineering problems. It was centered too on providing answers to simple questions such as: what is being used or can be used at present to solve engineering problems? What should be the state of art in the year 2000? What are the new questions involving error estimators and their applications?