Two-grid \(P_0^2\)-\(P_{1}\) mixed finite element methods combined with Crank-Nicolson scheme for a class of nonlinear parabolic equations

DOI10.1016/j.apnum.2018.11.009zbMath1412.65124OpenAlexW2903502513MaRDI QIDQ1728335

Tianliang Hou, Wenzhu Jiang, Haitao Leng, Yue-Ting Yang

Publication date: 22 February 2019

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.11.009

zbMATH Keywords

nonlinear parabolic equationsCrank-Nicolson schemea priori error estimatestwo-grid\(P_0^2\)-\(P_1\) mixed finite element

Mathematics Subject Classification ID

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) A priori estimates in context of PDEs (35B45) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (4)

A priori error estimates of <i>P</i>²₀-<i>P</i>¹ mixed finite element methods for a class of nonlinear parabolic equations ⋮ Two-Grid Algorithm of $H^{1}$-Galerkin Mixed Finite Element Methods for Semilinear Parabolic Integro-Differential Equations ⋮ Two-grid algorithm of lumped mass finite element approximation for Allen-Cahn equations ⋮ Superclose analysis of a two-grid finite element scheme for semilinear parabolic integro-differential equations

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