Free Access
Issue
Math. Model. Nat. Phenom.
Volume 6, Number 3, 2011
Computational aerodynamics
Page(s) 84 - 96
DOI https://doi.org/10.1051/mmnp/20116304
Published online 16 May 2011
  1. P. E. Bernard, J. F. Remacle, R. Comblen, V. Legat, K. Hillewaert. High-order discontinuous Galerkin schemes on general 2D manifolds applied to the shallow water equations. J. Comput. Phys., 228 (2009), No. 17, 6514–6535. [CrossRef] [MathSciNet] [Google Scholar]
  2. C. D. Cantwell, S. J. Sherwin, R. M. Kirby, P. H. J. Kelly. From h to p efficiently: strategy selection for operator evaluation on hexahedral and tetrahedral elements. Computers and Fluids, 43 (2011), No. 1, 23–28. [CrossRef] [Google Scholar]
  3. M. O. Deville, P. F. Fischer, E. H. Mund. High-order methods for incompressible fluid flow. Cambridge University Press, Cambridge, 2002. [Google Scholar]
  4. M. Dubiner. Spectral methods on triangles and other domains. J. Sci. Comp., 6 (1991), No. 4, 345-390. [Google Scholar]
  5. D. Gottlieb, S. A. Orszag. Numerical analysis of spectral methods: theory and applications. Society for Industrial Mathematics, 1977. [Google Scholar]
  6. J. S. Hesthaven, T. Warburton. Nodal high-order methods on unstructured grids:: I. time–domain solution of MaxwellŠs equations. J. Comput. Phys., 181 (2002), No. 1, 186-221. [CrossRef] [MathSciNet] [Google Scholar]
  7. T. J. R. Hughes. The finite element method. Prentice-Hall, New Jersey, 1987. [Google Scholar]
  8. G. E. Karniadakis and S. J. Sherwin. Spectral/hp element methods for computational fluid dynamics. Oxford University Press, Oxford, second edition edition, 2005. [Google Scholar]
  9. U. Lee. Spectral element method in structural dynamics. Wiley, 2009. [Google Scholar]
  10. S. A. Orszag. Spectral methods for problems in complex geometries. Advances in computer methods for partial differential equations- III, (1979), 148-157. [Google Scholar]
  11. A. T. Patera. A spectral element method for fluid dynamics: laminar flow in a channel expansion. J. Comput. Phys., 54 (1984), No. 3, 468-488. [CrossRef] [Google Scholar]
  12. S. J. Sherwin, G. E. Karniadakis. Tetrahedral hp finite elements: Algorithms and flow simulations. J. Comput. Phys., 124 (1996), 14-45. [CrossRef] [MathSciNet] [Google Scholar]
  13. S. J. Sherwin. Hierarchical hp finite elements in hybrid domains. Finite Elements in Analysis and Design, 27 (1997), No 1, 109-119. [CrossRef] [MathSciNet] [Google Scholar]
  14. B. F. Smith, P. Bjorstad, W. Gropp. Domain decomposition: parallel multilevel methods for elliptic partial differential equations. Cambridge University Press, 2004. [Google Scholar]
  15. P. E. J. Vos, S. J. Sherwin, M. Kirby. From h to p efficiently: Implementing finite and spectral/hp element discretisations to achieve optimal performance at low and high order approximations. J. Comput. Phys., 229 (2010), 5161-5181. [CrossRef] [MathSciNet] [Google Scholar]
  16. O. C. Zienkiewicz, R. L. Taylor, J. Z. Zhu. The finite element method: its basis and fundamentals. Elsevier Butterworth Heinemann, 2005. [Google Scholar]

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