Error estimates for fully discrete BDF finite element approximations of the Allen–Cahn equation

DOI10.1093/imanum/draa065OpenAlexW3092325308MaRDI QIDQ5024881

Buyang Li, Georgios D. Akrivis

Publication date: 27 January 2022

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/draa065

zbMATH Keywords

finite element methodBDF methodsmultiplierAllen-Cahn equationmaximum-norm stabilityG-stabilitydiscrete maximal \(L^p\)-regularityphase transition layertime-dependent norm

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

Related Items (5)

A second-order maximum bound principle preserving operator splitting method for the Allen-Cahn equation with applications in multi-phase systems ⋮ Error estimates with low-order polynomial dependence for the fully-discrete finite element invariant energy quadratization scheme of the Allen–Cahn equation ⋮ Analysis and approximations of an optimal control problem for the Allen-Cahn equation ⋮ Efficient and energy stable numerical schemes for the two-mode phase field crystal equation ⋮ Stability and error estimates of high order BDF-LDG discretizations for the Allen-Cahn equation

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