Efficient implementations of the quadrature-free discontinuous Galerkin method

14th Computational Fluid Dynamics Conference

Volumn , Issue , 1999, Pages 526-536

  Lockard, David P ^a   Atkins, Harold L ^a  

^a NASA LANGLEY RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; LINEAR TRANSFORMATIONS; MATHEMATICAL TRANSFORMATIONS;

CONSTANT COEFFICIENTS; DISCONTINUOUS GALERKIN METHODS; EDGE INTEGRATION; EFFICIENT IMPLEMENTATION; LINEAR PROBLEMS; MATRIX VECTOR MULTIPLICATION; NONLINEAR PROBLEMS; THREE DIMENSIONS;

GALERKIN METHODS;

EID: 84983134896     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1999-3309     Document Type: Conference Paper

References (9)

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3. Shu, C. W. and Osher, S., “Efficient Implementation of Essentially Non-Oscillatory Shock-Capturing Schemes,” Journal of Computational Physics, Vol. 77, No. 77, 1988, pp. 439-471.
4. Sansone, G., Orthogonal Functions, chap. 3, Interscience Publishers, Inc, 1959, p. 194.
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6. Sherwin, S. J. and Karniadakas, G. E., “A Triangular Spectral Element Method; Applications to the Incompressible Navier-Stokes Equations,” Computer Methods in Applied Mechanics and Engineering, Vol. 123, 1995, pp. 189-229.
7. Abramowitz, M. and Stegun, I. A., Handbook of Mathematical Functions, chap. 22, Dover Pub., Inc., 1965, pp. 771-802.
8. Adams, J. C, “Legendre's Coefficients,” Proceedings of the Royal Society of London, Vol. 27, 1878, pp. 63-71.
9. Cockburn, B., Hou, S., and Shu, C. W., “TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws IV: The Multidimensional Case,” Mathematical Computations, Vol. 54, 1990, pp. 545-581.