Two-grid Raviart-Thomas mixed finite element methods combined with Crank-Nicolson scheme for a class of nonlinear parabolic equations

DOI10.1007/S10444-020-09777-ZzbMath1436.65183OpenAlexW3012267081MaRDI QIDQ1987761

Luoping Chen, Yin Yang, Tianliang Hou, Yue-Ting Yang

Publication date: 15 April 2020

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-020-09777-z

zbMATH Keywords

nonlinear parabolic equationsCrank-Nicolson schemea priori error estimatestwo-gridRaviart-Thomas mixed finite element

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Nonlinear parabolic equations (35K55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) A priori estimates in context of PDEs (35B45) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (1)

A high-order two-grid difference method for nonlinear time-fractional biharmonic problems and its unconditional \(\alpha\)-robust error estimates

Uses Software

• iFEM

Cites Work

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