A1 Journal article (refereed)
Functional A Posteriori Error Estimates for the Parabolic Obstacle Problem (2022)

Apushkinskaya, D., & Repin, S. (2022). Functional A Posteriori Error Estimates for the Parabolic Obstacle Problem. Computational Methods in Applied Mathematics, 22(2), 259-276. https://doi.org/10.1515/cmam-2021-0156

JYU authors or editors

Publication details

All authors or editorsApushkinskaya, Darya; Repin, Sergey

Journal or seriesComputational Methods in Applied Mathematics



Publication year2022

Publication date23/01/2022


Issue number2

Pages range259-276

PublisherWalter de Gruyter GmbH

Publication countryGermany

Publication languageEnglish


Publication open accessNot open

Publication channel open access

Web address of parallel published publication (pre-print)https://arxiv.org/abs/2109.14519


The paper is concerned with functional-type a posteriori estimates for the initial boundary value problem for a parabolic partial differential equation with an obstacle. We deduce a guaranteed and computable bound of the distance between the exact minimizer and any function from the admissible (energy) class of functions. Applications to the analysis of modeling errors caused by data implification are discussed. An important case of time incremental approximations is specially studied. Numerical examples presented in the last section show how the estimates work in practice.

Keywordspartial differential equationsnumerical analysisestimating (statistical methods)error analysis

Free keywordsparabolic obstacle problem; free boundary; functional a posteriori error estimates

Contributing organizations

Ministry reportingYes

Reporting Year2022

JUFO rating1

Last updated on 2024-03-04 at 17:07