Journal ArticleDOI
A model study of element residual estimators for linear elliptic problems : the quality of the estimators in the interior of meshes of triangles and quadrilaterals
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This study analyzed several versions of the element-residual estimator and proposed recipes for robust estimators and based on this study the quality of element- Residual error estimators is investigated.About:
This article is published in Computers & Structures.The article was published on 1995-12-17. It has received 26 citations till now. The article focuses on the topics: Estimator.read more
Citations
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Pollution Error in the h-Version of the Finite Element Method and the Local Quality of the Recovered Derivatives.
TL;DR: In this article, the quality of the solution derivatives which are recovered from finite element solutions by local averaging schemes was investigated and it was shown that the recovered solution-derivatives have higher accuracy than the derivatives computed directly from the finite element solution.
Journal ArticleDOI
Pollution-error in the h -version of the finite-element method and the local quality of a-posteriori error estimators
TL;DR: It is demonstrated that it is possible to guarantee the quality of local error estimators in any mesh-patch in the interior of a finite-element mesh by employing meshes which are sufficiently refined outside the patch.
Journal ArticleDOI
A posteriori estimation and adaptive control of the error in the quantity of interest. Part I: A posteriori estimation of the error in the von Mises stress and the stress intensity factor
TL;DR: In this paper, a posteriori estimation of the error in an engineering quantity of interest, which is computed from a finite element solution, is presented. But this estimation is based on the von Mises stress and the stress intensity factor.
Computational Methods in Nonlinear Mechanics.
TL;DR: The Computational Methods in Nonlinear Mechanics (CMMLM) project as mentioned in this paper was the first effort to address nonlinear structural problems in nonlinear mechanics. And the results of the CMML project are summarized in the report of the final technical report of this project.
References
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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.
Book
A Review of a Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques
TL;DR: Introduction.
Journal ArticleDOI
The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique
O. C. Zienkiewicz,J. Z. Zhu +1 more
TL;DR: In this article, a general recovery technique is developed for determining the derivatives (stresses) of the finite element solutions at nodes, which has been tested for a group of widely used linear, quadratic and cubic elements for both one and two dimensional problems.
Journal ArticleDOI
Finite-Element Analysis
R. H. Gallagher,D. S. Griffin +1 more
TL;DR: The finite element method (FEM) is a numerical technique used to perform finite element analysis of any given physical phenomenon as discussed by the authors, such as structural or fluid behavior, thermal transport, wave propagation, and the growth of biological cells.
Related Papers (5)
Error Estimate Procedure in the Finite Element Method and Applications
The superconvergent patch recovery (SPR) and adaptive finite element refinement
O. C. Zienkiewicz,J. Z. Zhu +1 more