Rothe's method for nonlinear parabolic variational inequalities in noncylindrical domains

DOI10.7153/dea-2020-12-15zbMath1474.65319OpenAlexW3089867604MaRDI QIDQ5858084

Komil D. Kuliev, Gulchehra Kulieva

Publication date: 9 April 2021

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-2020-12-15

zbMATH Keywords

numerical methodRothe's methodtime-discretizationparabolic PDEparabolic variational inequalities

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

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Cites Work

• Homogenization of quasilinear parabolic problems by the method of Rothe and two scale convergence.
• An extension of Rothe's method to non-cylindrical domains.
• Application of Rothe's method to perturbed linear hyperbolic equations and variational inequalities
• On application of direct variational methods to the solution of parabolic boundary value problems of arbitrary order in the space variables
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