Abstract.
We derive robust a posteriori error estimators for a singularly perturbed reaction-diffusion equation. Here, robust means that the estimators yield global upper and local lower bounds on the error measured in the energy norm such that the ratio of the upper and lower bounds is bounded from below and from above by constants which do neither depend on any meshsize nor on the perturbation parameter. The estimators are based either on the evaluation of local residuals or on the solution of discrete local Dirichlet or Neumann problems.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Additional information
Received June 5, 1996
Rights and permissions
About this article
Cite this article
Verfürth, R. Robust a posteriori error estimators for a singularly perturbed reaction-diffusion equation. Numer. Math. 78, 479–493 (1998). https://doi.org/10.1007/s002110050322
Issue Date:
DOI: https://doi.org/10.1007/s002110050322