Abstract
In [S1], a method for the numerical approximation of singularly perturbed convection diffusion problems was introduced. In this note, we will show an a posteriori error estimate for this method.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Angermann, L.: Balanced a posteriori error estimates for finite volume type discretizations of convection diffusion problems. Computing 55 (1995) 4, 305–323
Angermann, L.: Error estimates for the finite element solution of an elliptic singularly perturbed problem. IMA J. Numer. Anal 15 (1995), 161–196
Babuška, I., Rheinboldt, W. C.: Error estimates for adaptive finite element computation. SIAM J. Numer. Anal. 14 (1978) 4, 736–754
Cal, Z., Mandel, J., McCormick, S.: The finite volume element method for diffusion equations on general triangulations. SIAM J. Num. Anal. 28 (1991) 2, 392–402
Cockburn, B., Shu, C.-W.: The local discontinuous Galerkin method for time dependent convection-diffusion systems. SIAM J. Num. Anal. 35 (1998) 6, 2440–2463
Johnson, C.: Adaptive finite element methods for diffusion and convection problems. Comput. Meth. Appl. Mech. Engrg. 82 (1990) 301–322
Medina, J., Picasso, M., Rappaz, J.: Error estimates and adaptive finite elements for nonlinear diffusion-convection problems. Math. Mod. and Meth. in Appl. Sci. 6 (1996), 689–712
Sardella, M.: A coupled finite element-finite volume method for convection-diffusion problems. To appear in IMA J. Numer. Anal.
Sardella, M.: Ph-D Thesis. In preparation.
Verfürth, R.: A posteriori error estimators for convection diffusion equations. Num. Math. 80 (1998) 4, 641–663
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Sardella, M. (2000). Coupling Continuous and Discontinuous Techniques: An Adaptive Approach. In: Cockburn, B., Karniadakis, G.E., Shu, CW. (eds) Discontinuous Galerkin Methods. Lecture Notes in Computational Science and Engineering, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59721-3_41
Download citation
DOI: https://doi.org/10.1007/978-3-642-59721-3_41
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64098-8
Online ISBN: 978-3-642-59721-3
eBook Packages: Springer Book Archive