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math.NA2021
Robust a posteriori error estimators with error-dominated oscillation for the reaction-diffusion equation
F. Tantardini, R. Verfürth
We apply the recent approach of C. Kreuzer and A. Veeser to derive a robust a posteriori error estimator for the reaction-diffusion equation. The estimator together with the corres…
math.NA2021
Quasi-monotonicity and Robust Localization with Continuous Piecewise Polynomials
Francesca Tantardini, Rüdiger Verfürth
We consider the energy norm arising from elliptic problems with discontinuous piecewise constant diffusion. We prove that under the quasi-monotonicity property on the diffusion coe…