@inproceedings{3fa65ae09a7946d8980d74ceb4859599,
title = "Numerical study of maximum norm a posteriori error estimates for singularly perturbed parabolic problems",
abstract = "A second-order singularly perturbed parabolic equation in one space dimension is considered. For this equation, we give computable a posteriori error estimates in the maximum norm for two semidiscretisations in time and a full discretisation using P1 FEM in space. Both the Backward-Euler method and the Crank-Nicolson method are considered. Certain critical details of the implementation are addressed. Based on numerical results we discuss various aspects of the error estimators in particular their effectiveness.",
keywords = "a posteriori error estimate, backward Euler, Crank-Nicolson, elliptic reconstruction, maximum norm, parabolic equation, reaction-diffusion, singular perturbation",
author = "Natalia Kopteva and Torsten Lin{\ss}",
year = "2013",
doi = "10.1007/978-3-642-41515-9_5",
language = "English",
isbn = "9783642415142",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
pages = "50--61",
booktitle = "Numerical Analysis and Its Applications - 5th International Conference, NAA 2012, Revised Selected Papers",
note = "5th International Conference on Numerical Analysis and Applications, NAA 2012 ; Conference date: 15-06-2013 Through 20-06-2013",
}