Interior penalty discontinuous approximations of convection-diffusion problems with parabolic layers

Numerische Mathematik

Volumn 100, Issue 4, 2005, Pages 735-759

  Zarin, Helena ^a   Roos, Hans Görg ^b  

^a UNIVERSITY OF NOVI SAD   (Serbia)

^b DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 19844382910     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-005-0598-1     Document Type: Article

References (17)

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4. Houston, P., Schwab, C., Süli, E.: Discontinuous hp-Finite Element Methods for Advection-Diffusion-Reaction Problems. SIAM J. Numer. Anal. 39, 2133-2163 (2002)
5. Houston, P., Schwab, C., Süli, E.: Discontinuous hp-finite element methods for advection-diffusion problems. Technical Report NA-00/15, Oxford University Computing Laboratory, Oxford, UK, 2000
6. Kopteva, N.V.: How accurate is the streamline-diffusion FEM inside parabolic layers? Lecture presented at the 19th Biennial Dundee Conference on Numerical Analysis, 2001
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10. Prudhomme, S., Pascal, F., Oden, J.T., Romkes, A.: Review of a priori error estimation for discontinuous Galerkin methods. TICAM Report 00-27, Texas Institute for Computational and Applied Mathematics, The University of Texas at Austin, 2000
11. Riviére, B., Wheeler, M.F., Girault, V.: A priori error estimates for finite element methods based on discontinuous approximation spaces for elliptic problems. SIAM J. Numer. Anal. 39, 902-931 (2001)
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16. Shishkin, G.I.: Discrete Approximation of Singularly Perturbed elliptic and Parabolic Equations. Russian Academy of Sciences, Ural Section, Ekaterinburg, 1992
17. Zarin, H.: Finite element methods for singularly perturbed problems with special emphasis on discontinuities. Doctoral Dissertation, Department of Mathematics and Informatics, University of Novi Sad, Serbia and Montenegro, 2003