Implicit finite element scheme with a penalty for a nonlocal parabolic obstacle problem of Kirchhoff type

DOI10.1134/S199508022307017XOpenAlexW4388181214MaRDI QIDQ6059290

Olga Glazyrina, R. Z. Dautov, E. Y. Myagkova

Publication date: 2 November 2023

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

Full work available at URL: https://doi.org/10.1134/s199508022307017x

zbMATH Keywords

finite element methoderror boundsimplicit schemepenalty methodparabolic variational inequality

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65Nxx) Numerical analysis (65-XX) Parabolic equations and parabolic systems (35Kxx) Elliptic equations and elliptic systems (35Jxx)

Cites Work

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• Study of a nonlinear Kirchhoff equation with non-homogeneous material
• Fully discrete finite element scheme for nonlocal parabolic problem involving the Dirichlet energy
• Exact penalty operators and regularization of parabolic variational inequalities with an obstacle inside a domain
• Approximations of evolutionary inequality with Lipschitz-continuous functional and minimally regular input data
• On unique solvability of one nonlinear nonlocal with respect to the solution gradient nonstationary problem
• Accuracy of discrete schemes for a class of abstract evolution inequalities
• Remarks on a nonlocal problem involving the Dirichlet energy
• On the stability of the $L^2$ projection in $H^1(\Omega)$
• Finite Element Method for a Nonlocal Problem of Kirchhoff Type
• On Kirchhoff's Model of Parabolic Type
• The Stability in L p and W p 1 of the L 2 -Projection onto Finite Element Function Spaces
• On a class of nonlocal nonlinear elliptic problems
• ON A CLASS OF QUASILINEAR HYPERBOLIC EQUATIONS
• Finite Element Scheme with Crank–Nicolson Method for Parabolic Nonlocal Problems Involving the Dirichlet Energy
• Nonlinear partial differential equations with applications

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