Biharmonic obstacle problem: guaranteed and computable error bounds for approximate solutions

DOI10.1134/S0965542520110032zbMath1454.35182arXiv2003.09261OpenAlexW3012680828WikidataQ109297699 ScholiaQ109297699MaRDI QIDQ2214608

Sergey I. Repin, Darya E. Apushkinskaya

Publication date: 10 December 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.09261

zbMATH Keywords

biharmonic operatorelliptic variational inequalityfree boundary obstacle problem

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Related Items (2)

Functional a posteriori error estimates for the parabolic obstacle problem ⋮ Integral identity and estimate of the deviation of approximate solutions of a biharmonic obstacle problem

Cites Work

• An augmented Lagrangian technique for variational inequalities
• A posteriori estimates for partial differential equations
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• Thin obstacle problem: estimates of the distance to the exact solution
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• The constrained elastic beam
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• On the regularity of the solution of the biharmonic variational inequality
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• A Quadratic $C^0$ Interior Penalty Method for the Displacement Obstacle Problem of Clamped Kirchhoff Plates
• Optimal Control of a Biharmonic Obstacle Problem
• Variational inequalities
• Error identities for variational problems with obstacles
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