Journal ArticleDOI
Superconvergent extraction techniques for finite element analysis
Qingxiang Niu,Mark S. Shephard +1 more
TLDR
In this article, a class of extraction techniques is developed to recover stresses as well as displacements from finite element solutions, with particular emphasis on the extraction of boundary stresses along slope continuous portions of the boundary.Abstract:
A class of extraction techniques is developed to recover stresses as well as displacements from finite element solutions. Particular emphasis is placed on the extraction of boundary stresses along slope continuous portions of the boundary. The techniques are superconvergent in that the convergence of the recovered quantities is equal to that of the strain energy. Numerical examples are used to demonstrate that the techniques are efficient and reliable, and can be easily implemented in the finite element analysis environment.read more
Citations
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Journal ArticleDOI
Shape optimization design of steel shear panel dampers
TL;DR: In this paper, a shape optimization method for improving the low cycle fatigue performance of SSPDs is presented. But the shape of the SSPD plate has not been well investigated, and it is not known whether the optimal shape can be obtained for all SSPd types.
Book ChapterDOI
Computable Error Estimators and Adaptive Techniques for Fluid Flow Problems
Serge Prudhomme,J. Tinsley Oden +1 more
TL;DR: Both global and goal-oriented error estimation methods are illustrated on model problems based on the Poisson, convection-diffusion, Stokes and steady-state Navier-Stokes equations.
Journal ArticleDOI
Calculation of strict error bounds for finite element approximations of non‐linear pointwise quantities of interest
Pierre Ladevèze,Ludovic Chamoin +1 more
TL;DR: In this paper, the authors deal with the verification of simulations performed using the finite element method, and they address the calculation of strict bounds on the discretization errors affecting pointwise outputs of interest which may be non-linear with respect to the displacement field.
Journal ArticleDOI
A posteriori error estimation for acoustic wave propagation problems
TL;DR: Residual-type (explicit and implicit) and recovery-type estimators are presented in detail in the case of the Helmholtz problem and issues dealing with pollution error at large wave numbers are extensively discussed.
Journal ArticleDOI
CRITERIA TO ACHIEVE NEARLY OPTIMAL MESHES IN THEh-ADAPTIVE FINITE ELEMENT METHOD
F. J. Fuenmayor,Javier Oliver +1 more
TL;DR: Five Adaptive Modification Strategies (AMSs) are studied as means to obtain nearly optimal meshes using an adaptive finite element modelling system based on the h-version of the FEM.
References
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Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Journal ArticleDOI
Theory of Elasticity (3rd ed.)
Book
Finite Element Analysis
B. A. Szabó,Ivo Babuška +1 more
TL;DR: In this article, the authors present a general solution based on the principle of virtual work for two-dimensional linear elasticity problems and their convergence rates in one-dimensional dimensions. But they do not consider the case of three-dimensional LEL problems.
Journal ArticleDOI
A simple error estimator and adaptive procedure for practical engineerng analysis
O. C. Zienkiewicz,J. Z. Zhu +1 more
TL;DR: A new error estimator is presented which is not only reasonably accurate but whose evaluation is computationally so simple that it can be readily implemented in existing finite element codes.
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