Robust a-posteriori estimator for advection-diffusion-reaction problems

  title={Robust a-posteriori estimator for advection-diffusion-reaction problems},
  author={Giancarlo Sangalli},
  journal={Math. Comput.},
We propose an almost-robust residual-based a-posteriori estimator for the advection-diffusion-reaction model problem. The theory is developed in the one-dimensional setting. The numerical error is measured with respect to a norm which was introduced by the author in 2005 and somehow plays the role that the energy norm has with respect to symmetric and coercive differential operators. In particular, the mentioned norm possesses features that allow us to obtain a meaningful a-posteriori estimator… CONTINUE READING


Publications citing this paper.
Showing 1-10 of 14 extracted citations


Publications referenced by this paper.
Showing 1-10 of 18 references

A posteriori error estimators for convection-diffusion equations

Numerische Mathematik • 1998
View 10 Excerpts
Highly Influenced

An adaptive stabilized finite element scheme for the advection-reaction-diffusion equation

R. Araya, E. Behrens, R. Rodŕıguez
Appl. Numer. Math. 54 (2005), no. 3-4, 491–503. MR2149365 • 2006
View 1 Excerpt
Highly Influenced

The multiscale approach to error estimation and adaptivity

G. Hauke, M. H. Doweidar, M. Miana
Comput. Methods Appl. Mech. Engrg. 195 (2006), no. 13-16, 1573–1593. MR2203982 • 2006
View 1 Excerpt
Highly Influenced

A posteriori error estimators via bubble functions

A. Russo
Math. Models Methods Appl. Sci. 6 • 1373
View 1 Excerpt
Highly Influenced

Choosing bubbles for advection-diffusion problems

F. Brezzi, A. Russo
Math. Models Methods Appl. Sci. 4 • 1139
View 3 Excerpts
Highly Influenced

A stabilized scheme for the Lagrange multiplier method for advection-diffusion equations

G. Rapin, G. Lube
Math. Models Methods Appl. Sci. 14 (2004), no. 7, 1035–1060. MR2076484 • 2005
View 1 Excerpt

Multilevel a posteriori error analysis for reaction-convectiondiffusion problems

S. Berrone, C. Canuto
Appl. Numer. Math. 50 (2004), no. 3-4, 371–394. MR2074010 • 2005
View 1 Excerpt

A posteriori error analysis for stabilised finite element approximations of transport problems

P. Houston, R. Rannacher, E. Süli
Comput. Methods Appl. Mech. Engrg. 190 (2000), no. 11-12, 1483–1508. MR1807010 • 2002
View 1 Excerpt

Similar Papers

Loading similar papers…