Most recent volume

Volume 46. Uncertain Input Data Problems and the Worst Scenario Method

Published: 9th December 2004 Authors: Ivan Hlavacek Jan Chleboun Ivo Babuska
This book deals with the impact of uncertainty in input data on the outputs of mathematical models. Uncertain inputs as scalars, tensors, functions, or domain boundaries are considered. In practical terms, material parameters or constitutive laws, for instance, are uncertain, and quantities as local temperature, local mechanical stress, or local displacement are monitored. The goal of the worst scenario method is to extremize the quantity over the set of uncertain input data. A general mathematical scheme of the worst scenario method, including approximation by finite element methods, is presented, and then applied to various state problems modeled by differential equations or variational inequalities: nonlinear heat flow, Timoshenko beam vibration and buckling, plate buckling, contact problems in elasticity and thermoelasticity with and without friction, and various models of plastic deformation, to list some of the topics. Dozens of examples, figures, and tables are included. Although the book concentrates on the mathematical aspects of the subject, a substantial part is written in an accessible style and is devoted to various facets of uncertainty in modeling and to the state of the art techniques proposed to deal with uncertain input data. A chapter on sensitivity analysis and on functional and convex analysis is included for the reader's convenience.

Additional volumes

The Classical Stefan Problem

Published: 22nd October 2003 Authors: S.C. Gupta S.C. Gupta

Volume 44. Stochastic Dynamics. Modeling Solute Transport in Porous Media

Published: 22nd November 2002 Authors: Don Kulasiri Wynand Verwoerd

Micromechanics: Overall Properties of Heterogeneous Materials

Published: 24th December 1998 Authors: S. Nemat-Nasser M. Hori

Volume 43. Plastic Limit Analysis of Plates, Shells and Disks

Published: 18th December 1997 Authors: M.A. Save C.E. Massonnet G. de Saxcé

Volume 42. The Theory of Singular Perturbations

Published: 8th November 1996 Authors: E.M. de Jager J.F. Furu

Volume 41. Damage Mechanics

Published: 22nd April 1996 Author: D. Krajcinovic

Volume 40. Mechanics of Transformation Toughening and Related Topics

Published: 1st May 1996 Authors: J.H. Andreasen B.L. Karihaloo

Volume 39. Wave Propagation in Layered Anisotropic Media

Published: 27th September 1995 Author: A.H. Nayfeh

Volume NHAM38. Stability in Viscoelasticity

Published: 7th December 1994 Editor: J. D. Achenbach Authors: A.D. Drozdov V.B. Kolmanovskii

Volume 37. Micromechanics

Published: 17th June 1993 Editor: J. D. Achenbach Authors: S. Nemat-Nasser M. Hori

Volume 36. Non-Linear Theory of Elasticity

Published: 13th November 1990 Author: A.I. Lurie

Volume 35. Elastic Wave Propagation

Published: 1st March 1989 Editors: F. McCarthy M. Hayes

Optimization in Mechanics

Published: 1st September 1988 Editor: J. D. Achenbach Author: P. Brousse

Volume 33. Continuum Mechanics of Electromagnetic Solids

Published: 1st March 1988 Editor: J. D. Achenbach Author: G.A. Maugin

Volume 32. Propagation of Transient Elastic Waves in Stratified Anisotropic Media

Published: 1st October 1987 Author: J.H.M.T. van der Hijden

Volume 31. Non-Newtonian Fluid Mechanics

Published: 1st March 1987 Author: G. Böhme

Volume 30. Transonic Aerodynamics

Published: 1st April 1986 Authors: J.D. Cole L.P. Cook

Volume 29. Shell Theory

Published: 1st September 1985 Author: F.I. Niordson

Volume 28. Theory of Flexible Shells

Published: 1st July 1987 Author: E.L. Axelrad

Volume 27. Elastic Stability of Circular Cylindrical Shells

Published: 1st February 1984 Author: N. Yamaki

Volume 25. Three-Dimensional Problems of Elasticity and Thermoelasticity

Published: 1st January 1979 Editor: V.D. Kupradze

Volume 23. Unidirectional Wave Motions

Published: 1st January 1978 Author: H. Levine

Volume 22. The Theory of Elastic Waves and Waveguides

Published: 1st January 1984 Author: J. Miklowitz

Volume 21. An Introduction to Thermomechanics

Published: 1st July 1983 Author: H. Ziegler

Volume 18. Creep And Relaxation Of Nonlinear Viscoelastic Materials With An Introduction To Linear Viscoelasticity

Published: 1st January 1976 Author: W.N. Findley

Volume 17. Modern Mathematical Methods In Technology

Published: 1st January 1975 Author: S. Fenyo

Volume 16. Wave Propagation in Elastic Solids

Published: 1st January 1984 Author: Jan Achenbach

Volume 13. Applied Graph Theory

Editors: H. A. Lauwerier W. T. Koiter Author: Wai-Kai Chen

Volume 8. The Single Server Queue

Published: 1st January 1982 Author: J.W. Cohen

Volume 6. Introduction to Spectral Theory in Hilbert Space

Published: 1st January 1969 Editors: H. A. Lauwerier W. T. Koiter Author: Gilbert Helmberg

Volume 4. Dynamic Plasticity

Published: 1st January 1967 Author: N. Cristescu

Volume 3. Methods of Contour Integration

Published: 1st January 1967 Editors: H. A. Lauwerier W. T. Koiter Author: M. L. Rasulov