31 at t 005 using adaptive h p and hp re nement

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Unformatted text preview: Bibliography 1] S. Adjerid and J.E. Flaherty. A local re nement nite element method for twodimensional parabolic systems. SIAM Journal on Scienti c and Statistical Computing, 9:792{811, 1988. 2] M. Ai a. Adaptive hp-Re nement Methods for Singularly-Perturbed Elliptic and Parabolic Systems. PhD thesis, Rensselaer Polytechnic Institute, Troy, 1997. 3] D.C. Arney and J.E. Flaherty. An adaptive mesh moving and local re nement method for time-dependent partial di erential equations. ACM Transactions on Mathematical Software, 16:48{71, 1990. 4] I. Babuska, J. Chandra, and J.E. Flaherty, editors. Adaptive Computational Methods for Partial Di erential Equations, Philadelphia, 1983. SIAM. 5] I. Babuska, J.E. Flaherty, W.D. Henshaw, J.E. Hopcroft, J.E. Oliger, and T. Tezduyar, editors. Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Di erential Equations, volume 75 of The IMA Volumes in Mathematics and its Applications, New York, 1995. Springer-Verlag. 6] I. Babuska, A. Miller, and M. Vogelius. Adaptive methods and error estimation for elliptic problems of structural mechanics. In I. Babuska, J. Chandra, and J.E. Flaherty, editors, Adaptive Computational Methods for Partial Di erential Equations, pages 57{73, Philadelphia, 1983. SIAM. 7] I. Babuska and Suri. The optimal convergence rate of the p-version of the nite element method. SIAM Journal on Numerical Analysis, 24:750{776, 1987. 8] I. Babuska, O.C. Zienkiewicz, J. Gago, and E.R. de A. Oliveira, editors. Accuracy Estimates and Adaptive Re nements in Finite Element Computations. John Wiley and Sons, Chichester, 1986. 9] R.E. Bank. The e cient implementation of local mesh re nement algorithms. In I. Babuska, J. Chandra, and J.E. Flaherty, editors, Adaptive Computational Methods for Partial Di erential Equations, pages 74{81, Philadelphia, 1983. SIAM. 21 22 Adaptive Finite Element Techniques 10] R.E. Bank. PLTMG: A Software Package for Solving Elliptic Partial Di erential Equations. Users' Guide 7.0, volume 15 of Frontiers in Applied Mathematics. SIAM, Philadelphia, 1994. 11] R.E. Bank, A.H. Sherman, and A. Weiser. Re nement algorithms and data structures for regular local mesh re nement. In Scienti c Computing, pages 3{17, Brussels, 1983. IMACS/North Holland. 12] M.J. Berger and J. Oliger. Adaptive mesh re nement for hyperbolic partial di erential equations. Journal of Computational Physics, 53:484{512, 1984. 13] M.W. Bern, J.E. Flaherty, and M. Luskin, editors. Grid Generation and Adaptive Algorithms, volume 113 of The IMA Volumes in Mathematics and its Applications, New York, 1999. Springer. 14] R. Biswas, K.D. Devine, and J.E. Flaherty. Parallel adaptive nite element methods for conservation laws. Applied Numerical Mathematics, 14:255{284, 1994. 15] K. Clark, J.E. Flaherty, and M.S. Shephard, editors. Applied Numerical Mathematics, volume 14, 1994. Special Issue on Adaptive Methods for Partial Di erential Equations. 16] K. Devine and J.E. Flaherty. Parallel adaptive hp-re nement techniques for conservation laws. Applied Numerical Mathematic...
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