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math.AP2021
Functional a posteriori error estimates for parabolic obstacle problems
Darya E. Apushkinskaya, Sergey I. Repin
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…
math.AP2017
Verifications of primal energy identities for variational problems with obstacles
Sergey Repin, Jan Valdman
We discuss error identities for two classes of free boundary problems generated by obstacles. The identities suggest true forms of the respective error measures which consist of tw…