Ulteriori informazioni
Modeling and simulation are central to a mechanical engineer's activity. Increasingly complex models are being used routinely on a daily basis. This revolution is the result of the extraordinary progress in computer technology in terms of both hardware and software.
This work deals with the control of the hypotheses leading from a mechanical model, usually coming from continuum mechanics, to a numerical model, i.e. the mastery of the mechanical computation process itself. Particular attention is given to structural analysis which, in this context, is the most advanced domain.
A significant part of this work is dedicated to the application of error estimators to the control of the various parameters involved in a calculation, beginning with the parameters related to the mesh.
Sommario
The notion of equality of a finite element solution.- The constitutive relation error method for linear problems.- Other methods for linear problems.- Principles of the comparison of the various estimators in the linear case.- Mesh adaptation for linear problems.- The constitutive relation error method for nonlinear evolution problems.- The consitutive relation error method in dynamics.- Techniques for constructing admissible fields.- Estimation of local errors.
Riassunto
Modeling and simulation are central to a mechanical engineer's activity. Increasingly complex models are being used routinely on a daily basis. This revolution is the result of the extraordinary progress in computer technology in terms of both hardware and software.
This work deals with the control of the hypotheses leading from a mechanical model, usually coming from continuum mechanics, to a numerical model, i.e. the mastery of the mechanical computation process itself. Particular attention is given to structural analysis which, in this context, is the most advanced domain.
A significant part of this work is dedicated to the application of error estimators to the control of the various parameters involved in a calculation, beginning with the parameters related to the mesh.
Testo aggiuntivo
From the reviews of the first edition:
"This English translation of the French original … is concerned with the control of accuracy in computation in linear and nonlinear mechanics. … the calculations and concepts are clear and rigorous. Many original numerical illustrations are included. The book is intended for all those interested in mechanics: students, researchers, applied mathematicians and engineers concerned with the verification of models." (Carsten Carstensen, Mathematical Reviews, 2005k)
"This English translation of the original 2001 French book discusses the evaluation of numerical error within the finite element context. … The book is recommended to students, engineers and researchers contemplating the application of the finite element technique to constructing models and simulations of industrial problems." (J. C. F. Telles, Zentralblatt MATH, Vol. 1077, 2006)
Relazione
From the reviews of the first edition:
"This English translation of the French original ... is concerned with the control of accuracy in computation in linear and nonlinear mechanics. ... the calculations and concepts are clear and rigorous. Many original numerical illustrations are included. The book is intended for all those interested in mechanics: students, researchers, applied mathematicians and engineers concerned with the verification of models." (Carsten Carstensen, Mathematical Reviews, 2005k)
"This English translation of the original 2001 French book discusses the evaluation of numerical error within the finite element context. ... The book is recommended to students, engineers and researchers contemplating the application of the finite element technique to constructing models and simulations of industrial problems." (J. C. F. Telles, Zentralblatt MATH, Vol. 1077, 2006)
