Integral Identity and Estimate of the Deviation of Approximate Solutions of a Biharmonic Obstacle Problem
Besov K.O.
March 2023Pleiades Publishing
Computational Mathematics and Mathematical Physics
2023#63Issue 3333 - 336 pp.
Abstract: We show that the integral identity obtained by D.E. Apushkinskaya and S.I. Repin (2020) for approximate solutions of the biharmonic obstacle problem that satisfy a pointwise constraint on the second divergence is valid for arbitrary approximate solutions. Using this result, we obtain a new estimate for the deviation of approximate solutions from exact ones in the case when the approximate solutions do not satisfy the pointwise constraint on the second divergence.
estimates of deviation from the exact solution , variational problem
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Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 119991, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Steklov Mathematical Institute of Russian Academy of Sciences
Institute of Mathematics and Mathematical Modeling
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