论文信息 - A STUDY OF MESH OPTIMALITY CRITERIA IN ADAPTIVE FINITE ELEMENT ANALYSIS

A STUDY OF MESH OPTIMALITY CRITERIA IN ADAPTIVE FINITE ELEMENT ANALYSIS

The concepts of solution error and optimal mesh in adaptive finite element analysis are revisited. It is shown that the correct evaluation of the convergence rate of the error norms involved in the error measure and the optimal mesh criteria chosen are essential to avoid oscillations in the refinement process. Two mesh optimality criteria based on: (a) the equal distribution of global error, and (b) the specific error over the elements are studied and compared in detail through some examples of application.

Gabriel Bugeda | Eugenio Oñate | E. Oñate | G. Bugeda

[1] G. Bugeda,et al. Adaptive mesh refinement techniques for aerodynamic problems. , 1992 .

[2] J. Z. Zhu,et al. The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique , 1992 .

[3] Mustafa Özakça,et al. Adaptive analysis of thin shells using facet elements , 1991 .

[4] Jaroslav Mackerle,et al. Error analysis, adaptive techniques and finite and boundary elements—a bibliography (1992–1993) , 1994 .

[5] O. C. Zienkiewicz,et al. A simple error estimator and adaptive procedure for practical engineerng analysis , 1987 .

[6] J. Z. Zhu,et al. The finite element method , 1977 .

[7] O. C. Zienkiewicz,et al. Error estimates and adaptive refinement for plate bending problems , 1989 .

[8] J. Z. Zhu,et al. Effective and practical h–p‐version adaptive analysis procedures for the finite element method , 1989 .

[9] O. C. Zienkiewicz,et al. Adaptive techniques in the finite element method , 1988 .

[10] Gabriel Bugeda,et al. A general methodology for structural shape optimization problems using automatic adaptive remeshing , 1993 .

[11] O. C. Zienkiewicz,et al. Error estimation and adaptivity in Navier-Stokes incompressible flows , 1990 .

[12] O. C. Zienkiewicz,et al. The three R's of engineering analysis and error estimation and adaptivity , 1990 .

[13] E. Hinton,et al. Edge effects in Mindlin—Reissner plates using adaptive mesh refinement , 1990 .