16 k devine and je flaherty parallel adaptive hp re

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Unformatted text preview: s, 20:367{386, 1996. 17] M. Dindar, M.S. Shephard, J.E. Flaherty, and K. Jansen. Adaptive cfd analysis for rotorcraft aerodynamics. Computer Methods in Applied Mechanics Engineering, submitted, 1999. 18] D.B. Duncan, editor. Applied Numerical Mathematics, volume 26, 1998. Special Issue on Grid Adaptation in Computational PDEs: Theory and Applications. 19] J.E. Flaherty, R. Loy, M.S. Shephard, B.K. Szymanski, J. Teresco, and L. Ziantz. Adaptive local re nement with octree load-balancing for the parallel solution of three-dimensional conservation laws. Parallel and Distributed Computing, 1998. to appear. 20] J.E. Flaherty and P.K. Moore. Integrated space-time adaptive hp-re nement methods for parabolic systems. Applied Numerical Mathematics, 16:317{341, 1995. 21] J.E. Flaherty, P.J. Paslow, M.S. Shephard, and J.D. Vasilakis, editors. Adaptive methods for Partial Di erential Equations, Philadelphia, 1989. SIAM. 8.3. p- and hp-Re nement 23 22] W. Gui and I. Babuska. The h, p, and h-p version of the nite element method in 1 dimension. Part 1: The error analysis of the p-version. Numerische Mathematik, 48:557{612, 1986. 23] W. Gui and I. Babuska. The h, p, and h-p version of the nite element method in 1 dimension. Part 2: The error analysis of the h- and h-p-version. Numerische Mathematik, 48:613{657, 1986. 24] W. Gui and I. Babuska. The h, p, and h-p version of the nite element method in 1 dimension. Part 3: The adaptive h-p-version. Numerische Mathematik, 48:658{683, 1986. 25] W. Guo and I. Babuska. The h-p version of the nite element method. Part 1: The basic approximation results. Computational Mechanics, 1:1{20, 1986. 26] W. Guo and I. Babuska. The h-p version of the nite element method. Part 2: General results and applications. Computational Mechanics, 1:21{41, 1986. 27] C. Mesztenyi and W. Szymczak. FEARS user's manual for UNIVAC 1100. Technical Report Note BN-991, Institute for Physical Science and Technology, University of Maryland, College Park, 1982. 28] W.R. Mitchell. Uni ed Multilevel Adaptive Finite Element Methods for Elliptic Problems. PhD thesis, University of Illinois at Urbana-Champagne, Urbana, 1988. 29] P.K. Moore and J.E. Flaherty. Adaptive local overlapping grid methods for parabolic systems in two space dimensions. Journal of Computational Physics, 98:54{63, 1992. 30] J.T. Oden, W. Wu, and M. Ainsworth. Three-step h-p adaptive strategy for the incompressible Navier-Stokes equations. In 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, pages 347{366, New York, 1995. Springer-Verlag. 31] W. Rachowicz, J.T. Oden, and L. Demkowicz. Toward a universal h-p adaptive nite element strategy, Part 3, design of h-p meshes. Computer Methods in Applied Mechanics and Engineering, 77:181{212, 1989. 32] E. Rank and I. Babuska. An expert system for the opt...
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