Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics (CISM International Centre for Mechanical Sciences): 416 - Brossura

Libro 272 di 415: CISM International Centre for Mechanical Sciences
 
9783211269756: Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics (CISM International Centre for Mechanical Sciences): 416

Sinossi

The work deals with a systematic theoretical and problem-oriented treatment of fundamental topics in the wide area of error-controlled adaptive finite element methods for analyzing engineering structures with elastic and inelastic material behavior applied to engineering structures. Different types of error estimators are presented from both mathematical and engineering points of views: global estimators and goal-oriented estimators based on duality techniques, controlling h-, p-, and hp-adaptivity. Special features are: combined model and discretization adaptivity for thin-walled structures, hierarchic modeling in elasticity and related hp-adaptivity, error estimators of constitutive equations, adequate mesh refinement techniques and error-controlled adaptive elastic-plastic analysis of contact problems. The benefits are seen in new methods and results of leading researches in the field which provide deeper insight into recent developments of a posteriori error analysis and adaptivity.

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Contenuti

Duality Techniques for Error Estimation and Mesh Adaptation in Finite Element Methods.- Hierarchical Model and Solution Adaptivity of Thin-walled Structures by the Finite-Elements-Method.- Three Lectures on Error Estimation and Adaptivity.- Hierarchic Modelling in Elasticity by generalized p- and hp-FEM.- Constitutive Relation Error Estimators and Adaptivity in Structural Engineering.- Adaptive Methods for Contact Problems.

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