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 editors: Apushkinskaya, Darya; Repin, Sergey
Journal or series: Computational Methods in Applied Mathematics
ISSN: 1609-4840
eISSN: 1609-9389
Publication year: 2022
Publication date: 23/01/2022
Volume: 22
Issue number: 2
Pages range: 259-276
Publisher: Walter de Gruyter GmbH
Publication country: Germany
Publication language: English
DOI: https://doi.org/10.1515/cmam-2021-0156
Publication open access: Not open
Publication channel open access:
Web address of parallel published publication (pre-print): https://arxiv.org/abs/2109.14519
Abstract
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.
Keywords: partial differential equations; numerical analysis; estimating (statistical methods); error analysis
Free keywords: parabolic obstacle problem; free boundary; functional a posteriori error estimates
Contributing organizations
Ministry reporting: Yes
Reporting Year: 2022
JUFO rating: 1