Approximations of evolutionary inequality with Lipschitz-continuous functional and minimally regular input data

DOI10.1134/S199508021904005XzbMath1422.65253OpenAlexW2955718109WikidataQ127724013 ScholiaQ127724013MaRDI QIDQ2313979

R. Z. Dautov, A. V. Lapin

Publication date: 25 July 2019

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s199508021904005x

zbMATH Keywords

regularization methodparabolic variational inequalityevolutionary inequalityfully discrete problemRothe schemesemidicrete Galerkin scheme

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for variational inequalities and related problems (65K15)

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Cites Work

• Exact penalty operators and regularization of parabolic variational inequalities with an obstacle inside a domain
• Accuracy of discrete schemes for a class of abstract evolution inequalities
• On the \(H^1\)-stability of the \(L_2\)-projection onto finite element spaces
• Problèmes unilateraux
• On the stability of the $L^2$ projection in $H^1(\Omega)$
• SINGULAR PERTURBATION AND INTERPOLATION
• Error Estimates for Semidiscrete Finite Element Approximations of Linear and Semilinear Parabolic Equations Under Minimal Regularity Assumptions
• Nonlinear partial differential equations with applications
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