Fluctuations and signals for scalar hyperbolic equations on adjustable meshes

Communications in Numerical Methods in Engineering

Volumn 15, Issue 12, 1999, Pages 877-886

  Baines, M J ^a   Leary, S J ^a  

^a UNIVERSITY OF READING   (United Kingdom)

Author keywords

Hyperbolic equations; Least squares; Mesh movement; Multidimensional upwinding; r refinement

Indexed keywords

COMPUTATIONAL GEOMETRY; CONVERGENCE OF NUMERICAL METHODS; LEAST SQUARES APPROXIMATIONS;

MULTIDIMENSIONAL UPWINDING; SCALAR HYPERBOLIC EQUATIONS;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0033323448     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-0887(199912)15:12<877::AID-CNM300>3.0.CO;2-W     Document Type: Article

References (6)

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2. P. L. Roe, 'Compounded of many simples', in Ventakrishnan, Salas and Chakravarthy (eds.), Proceedings of Workshop on Barriers and Challenges in CFD, ICASE, NASA Langley, August 1996, Kluwer, 1998, p. 241.
3. 2 approximation by discontinuous piecewise polynomials', Math. Comput., 66, 623-650 (1997).
4. M. J. Baines, 'A note on duality for a scalar hyperbolic equation', Numerical Analysis Report 8/97, Department of Mathematics, University of Reading, 1997.
5. H. Deconinck, P. L. Roe and R. Struijs, 'A multidimensional generalisation of Roe's flux difference splitter for the Euler equations', Comput. Fluids, 22, 215 (1993).
6. M. J. Baines and M. E. Hubbard, 'Multidimensional upwinding and grid adaptation', in E. F. Toro and J. F. Clarke (eds.), Numerical Methods for Wave Propagation Problems, Kluwer, 1998.