Verifications of Primal Energy Identities for Variational Problems with Obstacles

DOI10.1007/978-3-319-73441-5_18zbMath1476.65118arXiv1710.08097OpenAlexW2765461110MaRDI QIDQ3297435

Sergey I. Repin, Jan Valdman

Publication date: 20 July 2020

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.08097

zbMATH Keywords

coincidence setvariational problems with obstacleserror identities

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Numerical methods for variational inequalities and related problems (65K15)

Cites Work

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• Numerical solutions of a two-phase membrane problem
• Pointwise a posteriori error control for elliptic obstacle problems
• A posteriori error estimates for two-phase obstacle problem
• Functional a posteriori error estimates for problems with nonlinear boundary conditions
• A posteriori error estimation for variational problems with uniformly convex functionals
• Verification of functional a posteriori error estimates for obstacle problem in 2D

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