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, the
Advances in Adaptive Computational Methods in Mechanics (Volume 7) (Studies in Applied Mechanics, Volume 7)
β Scribed by P. Ladeveze (editor), J.T. Oden (editor)
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Leaves
- 538
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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?
β¦ Table of Contents
Cover
Series
Title page
Date-line
Preface
CONTENTS
PART 1: ERROR ESTIMATORS AND ADAPTIVE COMPUTATIONAL METHODS FOR LINEAR PROBLEMS
Recovery procedures in error estimation and adaptivity: Adaptivity in linear problems (O.C. Zienkiewicz, B. Boroomand and J.Z. Zhu)
The relationship of some a posteriori error estimators (J.Z. Zhu and Z. Zhang)
A technique for a posteriori error estimation of $h$-$p$ approximations of the Stokes equations (J.T. Oden and S. Prudhomme)
A mathematical framework for the P. Ladeveze a posteriori error bounds in finite element methods (P. Destuynder, M. Collot and M. Salaun)
PART 2: MODELLING ERROR ESTIMATORS AND ADAPTIVE MODELLING STRATEGIES
Adaptive finite element in elastoplasticity with mechanical error indicators and Neumann-type estimators (E. Stein, F.J. Barthold, S. Ohnimus and M. Schmidt)
A reliable a posteriori error estimator for adaptive hierarchic modelling (M. Ainsworth and A. Arnold)
A two-scale strategy and a posteriori error estimation for modeling heterogeneous structures (N. Moes, J.T. Oden and K. Vemaganti)
A modelling error estimator for dynamic structural model updating (P. Ladeveze)
PART 3: LOCAL ERROR ESTIMATORS FOR LINEAR PROBLEMS
A posteriori estimation of the error in the error estimate (I. Babuska, T. Strouboulis, S.K. Gangaraj, K. Copps and D.K. Datta)
Bounds for linear-functional outputs of coercive partial differential equations: Local indicators and adaptive refinement (J. Peraire and A.T. Patera)
On adaptivity and error criteria in meshfree methods (T. Belytschko, W.K. Liu and M. Singer)
PART 4: ERROR ESTIMATORS FOR NON LINEAR TIME-DEPENDENT PROBLEMS AND ADAPTIVE COMPUTATIONAL METHODS
A posteriori constitutive relation error estimators for nonlinear finite element analysis and adaptive control (P. Ladeveze and N. Moes)
A review of a posteriori error estimation techniques for elasticity problems (R. Verfurth)
A posteriori error control and mesh adaptation for F.E. models in elasticity and elastoplasticity (R. Rannacher and F.T. Suttmeier)
An adaptive finite element approach in associated and non-associated plasticity considering localization phenomena (W. Wunderlich, H. Cramer and G. Steinl)
An $\alpha$-adaptivity approach for advective-diffusive and fluid flow problems (E. Onate, J. Garcia and S. Idelsohn)
Adaptive strategy for transient/coupled problems. Applications to thermoelasticity and elastodynamics (D. Aubry, D. Lucas and B. Tie)
Error estimation and adaptive finite element analysis of softening solids (A. Huerta, P. Diez, A. Rodriguez-Ferran and G. Pijaudier-Cabot)
Aspects of adaptive strategies for large deformation problems at finite inelastic strains (D. Peric, M. Dutko and D.R.J. Owen)
Adaptive solutions in industrial forming process simulation (T. Coupez, L. Fourment and J.L. Chenot)
Recovery procedures in error estimation and adaptivity: Adaptivity in non-linear problems of elasto-plasticity behaviour (B. Boroomand and O.C. Zienkiewicz)
PART 5: ADAPTIVE COMPUTATIONAL METHODS FOR 3D LINEAR PROBLEMS
3-D error estimation and mesh adaptation using improved R.E.P. method (P. Beckers and E. Defeii)
Adaptive methods and related issues from the viewpoint of hybrid equilibrium finite element models (O.J.B. Almeida Pereira, J.P. Moitinho De Almeida and E.A.W. Maunder)
Error estimator and adaptivity for three-dimensional finite element analyses (P. Coorevits, J.P. Dumeau and J.P. Pelle)
PART 6: ERROR ESTIMATORS AND MESH ADAPTIVITY FOR VIBRATION, ACOUSTICS AND ELECTROMAGNETICS PROBLEMS
Error estimation and adaptivity for h-version eigenfrequency analysis (N.E. Wiberg and P. Hager)
Error estimation and adaptivity for the finite element method in acoustics (Ph. Bouillard and F. Ihlenburg)
Error through the constitutive relation for beam or CΒ° plate finite element: Static and vibration analyses (Ph. Boisse and G. Coffignal)
A posteriori error analysis for steady-state Maxwell's equation (L. Demkowicz)
AUTHOR INDEX
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