Stability and convergence of Strang splitting. II: Tensorial Allen-Cahn equations

DOI10.1016/j.jcp.2022.110985OpenAlexW4205381179MaRDI QIDQ2133710

Jiao Xu, Chaoyu Quan, Dong Li

Publication date: 5 May 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.11254

zbMATH Keywords

maximum principleenergy dissipationAllen-Cahn equationStrang splitting method

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Parabolic equations and parabolic systems (35Kxx)

Related Items

A second-order maximum bound principle preserving operator splitting method for the Allen-Cahn equation with applications in multi-phase systems, Maximum principle preserving and unconditionally stable scheme for a conservative Allen-Cahn equation, A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations, Fast operator splitting methods for obstacle problems, A maximum bound principle preserving iteration technique for a class of semilinear parabolic equations

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