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Computer methods in applied mechanics and engineering

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Unformatted text preview: imal mesh design in the hpversion of the nite element method. International Journal of Numerical methods in Engineering, 24:2087{2106, 1987. 24 Adaptive Finite Element Techniques 33] M.C. Rivara. Design and data structures of a fully adaptive multigrid nite element software. ACM Transactions on Mathematical Software, 10:242{264, 1984. 34] M.C. Rivara. Mesh re nement processes based on the generalized bisection of simplices. SIAM Journal on Numerical Analysis, 21:604{613, 1984. 35] I.G. Rosenberg and F. Stenger. A lower bound on the angles of triangles constructed by bisecting the longest side. Mathematics of Computation, 29:390{395, 1975. 36] C. Schwab. P- And Hp- Finite Element Methods: Theory and Applications in Solid and Fluid Mechanics. Numerical Mathematics and Scienti c Computation. Clarendon, London, 1999. 37] E.G. Sewell. Automatic Generation of Triangulations for Piecewise Polynomial Approximation. PhD thesis, Purdue University, West Lafayette, 1972. 38] M.S. Shephard, J.E. Flaherty, C.L. Bottasso H.L. de Cougny, and C. Ozturan. Parallel automatic mesh generation and adaptive mesh control. In M. Papadrakakis, editor, Solving Large Scale Problems in Mechanics: Parallel and Distributed Computer Applications, pages 459{493, Chichester, 1997. John Wiley and Sons. 39] B. Szabo. Mesh design for the p-version of the nite element method. Computer Methods in Applied Mechanics and Engineering, 55:181{197, 1986. 40] B. Szabo and I. Babuska. Finite Element Analysis. John Wiley and Sons, New York, 1991. 41] R. Verfurth. A Review of Posteriori Error Estimation and Adaptive MeshRe nement Techniques. Teubner-Wiley, Stuttgart, 1996. 42] H. Zhang, M.K. Moallemi, and V. Prasad. A numerical algorithm using multizone grid generation for multiphase transport processes with moving and free boundaries. Numerical Heat Transfer, B29:399{421, 1996. 43] O.C. Zienkiewicz and J.Z. Zhu. Adaptive techniques in the nite element method. Communications in Applied Numerical Methods, 4:197{204, 1988....
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