Functional A Posteriori Error Estimates for the Parabolic Obstacle Problem

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. © 2022 Walter de Gruyter GmbH, Berlin/Boston.

Authors
Apushkinskaya D. 1, 2 , Repin S.3, 4
Publisher
Walter de Gruyter GmbH
Number of issue
2
Language
English
Pages
259-276
Status
Published
Volume
22
Year
2022
Organizations
  • 1 Saarland University, Saarbrcken, 66041, Germany
  • 2 Peoples' Friendship University of Russia (RUDN University), Moscow, 117198, Russian Federation
  • 3 V. A. Steklov Institute of Mathematics in St. Petersburg, St. Petersburg, 191011, Russian Federation
  • 4 University of Jyv#x000E4
  • 5 Skyl#x000E4
  • 6 , 40014, Jyvskyla, Finland
Keywords
Free Boundary; Functional a Posteriori Error Estimates; Parabolic Obstacle Problem
Date of creation
06.07.2022
Date of change
06.07.2022
Short link
https://repository.rudn.ru/en/records/article/record/83738/
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