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http://dx.doi.org/10.12989/sem.2007.25.2.269

Effects of element distortions on the performance of enriched quadrilateral elements  

Ho, Shi-Pin (Department of Mechanical Engineering, National Cheng Kung University)
Yeh, Yen-Liang (Department of Mechanical Engineering, National Cheng Kung University)
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Structural Engineering and Mechanics / v.25, no.2, 2007 , pp. 269-273 More about this Journal
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1 Auricchio, E and Taylor, R.L. (1995), 'A triangular thick plate finite element with an exact thin limit', Finite Elements in Analysis and Design, 19, 57-68   DOI   ScienceOn
2 Brezzi, E, Bristeau, M.O., Franca, L.P., Mallet, M. and Roge, G (1992), 'A relationship between stabilized finite element methods and the Galerkin method with bubble functions', Comput. Meth. Appl. Mech. Eng., 96(1), 117-129   DOI   ScienceOn
3 Brezzi, E and Russo, A. (1994), 'Choosing bubbles for advection-diffusion problems', Mathematical Models and Meth. Appl. Sci., 4(4),571-587   DOI
4 Cook, R.D., Malkus, D.S., Plesha, M.E. and Witt, R.J. (2002), Concepts and Applications of Finite Element Analysis, John Wiley & Sons, New York, NY
5 Farhat, C. and Sobh, N. (1989), 'A coarse/fine preconditioner for very ill-conditioned finite element problems', Int. J. Numer. Meth. Eng., 28(7), 1715-1723   DOI   ScienceOn
6 Franca, L.P. and Farhat, C. (1994), 'On the limitation of bubble functions', Comput. Meth. Appl. Mech. Eng., 117(2), 225-230   DOI   ScienceOn
7 Franca, L.P. and Farhat, C. (1995), 'Bubble functions prompt unusual stabilized finite element methods', Comput. Meth. Appl. Mech. Eng., 123,299-308   DOI   ScienceOn
8 Lautersztajn, S.N. and Samuelsson, A. (2000), 'Further discussion on four-node isoparametric quadrilateral elements in plane bending', Int. J. Numer. Meth. Eng., 47(1), 129-140   DOI
9 Lee, N.S. and Bathe, K.J. (1993), 'Effects of element distortions on the performance of isoparametric elements', Int. J. Numer. Method. Eng., 36(20), 3553-3576   DOI   ScienceOn
10 Ooi, E.T., Rajendran, S. and Yeo, J.H. (2004), 'A 20-node hexahedron element with enhanced distortion tolerance', Int. J. Numer. Meth. Eng., 60(15), 2501-2530   DOI   ScienceOn
11 Rajendran, S. and Liew, K.M. (2003), 'A novel unsymmetric 8-node plane element immune to mesh distortion under a quadratic displacement field', Int. J. Numer. Meth. Eng., 58(11), 1713-1748   DOI   ScienceOn
12 Zienkiewicz, O.C. and Taylor, R.L. (1989), The Finite Element Method - Volume I Basic Formulation and Linear Problems, McGraw-Hill, London
13 Brezzi, E, Hughes, T.J.R., Marini, L.D., Russo, A. and Stili, E. (1999), 'A priori error analysis of residual-free bubbles for advection-diffusion problems', SIAM J. Numer. Analysis, 36(6), 1933-1948   DOI   ScienceOn
14 Hong, W.I., Kim, Y.H. and Lee, S.W (2001), 'An assumed strain triangular solid shell element with bubble function displacements for analysis of plates and shells', Int. J. Numer. Meth. Eng., 52(4), 455-469   DOI   ScienceOn
15 Sangalli, G. (2000), 'Global and local error analysis for the residual-free bubbles method applied to advectiondominated problems', SIAM J. Numer. Analysis, 38(5), 1496-1522   DOI   ScienceOn