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Error-controlled Adaptive Finite Elements in Solid Mechanics
Errorcontrolled Adaptive Finite Elements in Solid Mechanics Author:Ekkehard Ramm, E. Rank, R. Rannacher, K. Schweizerhof, E. Stein, W. Wendland, G. Wittum, Peter Wriggers, Walter Wunderlich This book contains the numerical methods, mathematical analysis, algorithms, software aspects and comparative results of a six year joint project of nine German University institutes, supported by the German National Science Foundation (DFG). It covers new progress for efficient and reliable error estimates mainly of the Finite Element Meth... more »od for non-linear problems in solid mechanics, as well as efficient re-meshing techniques and solution algorithms. Topics covered include:
Elastoplastic deformations and contact problems
Shear localization of inelastic deformations
Thin-walled structures
Elastodynamics
The authors, all experts in computational mechanics, provide a wealth of new ideas for the next generation of software for adaptive finite elements, which will be of great interest to industry. Each chapter includes the state of the art, comparisons between different methods and the mechanical and mathematical background of the methods addressed. Practising engineers, researchers and students in engineering, applied mathematicians and computer scientists will find new material for developing, maintaining and applying finite element algorithms which reach new heights of approximation quality.« less