Quadrature-free implementation of discontinuous Galerkin method for hyperbolic equations

AIAA Journal

Volumn 36, Issue 5, 1998, Pages 775-782

  Atkins, Harold L ^a,c   Shu, Chi Wang ^b  

^a NASA LANGLEY RESEARCH CENTER   (United States)

^b BROWN UNIVERSITY   (United States)

^c AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000653923     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.436     Document Type: Article

References (16)

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9. Lowrie, R. B., Roe, P. L., and van Leer, B., "A Space-Time Discontinuous Galerkin Method for the Time-Accurate Numerical Solution of Hyperbolic Conservation Laws," AIAA Paper 95-1658, June 1995.
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11. Atkins, H. L., "Continued Development of the Discontinuous Galerkin Method for Computational Aeroacoustic Applications," AIAA Paper 97-1581, May 1997.
12. Fletcher, C. A. J., Computational Galerkin Methods, Springer-Verlag, New York, 1984.
13. Atkins, H. L., and Shu, C-W., "Quadrature-Free Implementation of the Discontinuous Galerkin Method for Hyperbolic Equations," AIAA Paper 96-1683, May 1996.
14. Atkins, H. L., "Local Analysis of Shock Capturing Using Discontinuous Galerkin Methodology," AIAA Paper 97-2032, June 1997.
15. 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.
16. Atkins, H. L., "Application of Essentially Nonoscillatory Methods to Aeroacoustic Flow Problems," Proceedings of ICASE/LaRC Workshop on Benchmark Problems in Computational Aeroacoustics, edited by J. C. Hardin, J. R. Ristorcelli, and C. K. W. Tam, NASA CP-3300 1995, pp. 15-26.