Robust a posteriori error estimators for a singularly perturbed reaction-diffusion equation |
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| Authors: | R Verfürth |
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| Institution: | Fakult?t für Mathematik, Ruhr-Universit?t Bochum, D-44780 Bochum, Germany; e-mail address: rv@silly.num1.ruhr-uni-bochum.de, DE
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| 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.
Received June 5, 1996 |
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| Keywords: | Mathematics Subject Classification (1991): 65N30 65N15 65J15 |
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