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Informationen zum Autor Erwin Stein, PhD is Professor Emeritus, Curator of the Leibniz Exhibition, Stein Institut für Baumechanik und Numerische Mechanik, Leibniz Universität, Hannover, Germany. Institute of Mechanics and Computational Mechanics. Klappentext 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 Method 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. Zusammenfassung Finite Element Methods are used in numerous engineering applications where numerical solutions of partial differential equations are needed. This book deals with the Finite Element Method, while also covering areas such as automatic adaptation and error estimation, and aspects of the method's adaptivity. Inhaltsverzeichnis Preface. Introduction (Stein). Error Estimation and Adaptive Mesh Design for FE Models in Elasto-Plasticity Theory (Rannacher and Suttmeier). Adaptive FEM for elasto-plastic Deformations (Stein and Schmidt). Numerical Simulation of Localization Phenomena in Geomechanics by Entended Continuum Formulations (Wunderlich et al). Adaptive Methods for Contact Problems (Rieger et al). An Adaptive Boundary Element Method for Contact Problems (Eck et al). Goal-Oriented Error Estimation in Solid Mechanics (Steeb,Maute and Ramm). The p-version of the Finite Element Method for Structural Problems (Rank et al). Adaptive Analysis of Plate and Shell Structures Under Transient Loading (Schweizerhof, Neumann and Riccius). The Application of Adaptive Parallel Multigrid Methods to Problems in Nonlinear Solid Mechanics (Lang, Wieners and Wittum). Benchmarks (Stein et al)....
