A hybrid FEM for solving the Allen-Cahn equation

DOI10.1016/j.amc.2014.07.040zbMath1336.65170OpenAlexW2106622956MaRDI QIDQ278417

Jaemin Shin, Junseok Kim, Seong-Kwan Park

Publication date: 2 May 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.07.040

zbMATH Keywords

finite element methodAllen-Cahn equationoperator splitting methodunconditionally stable scheme

Mathematics Subject Classification ID

Related Items (12)

An explicit hybrid finite difference scheme for the Allen-Cahn equation ⋮ A positivity preserving and conservative variational scheme for phase-field modeling of two-phase flows ⋮ Comparison of different time discretization schemes for solving the Allen-Cahn equation ⋮ An efficient maximum bound principle preserving p-adaptive operator-splitting method for three-dimensional phase field shape transformation model ⋮ A second-order maximum bound principle preserving operator splitting method for the Allen-Cahn equation with applications in multi-phase systems ⋮ Unconditionally maximum principle preserving finite element schemes for the surface Allen–Cahn type equations ⋮ An adaptive variational procedure for the conservative and positivity preserving Allen-Cahn phase-field model ⋮ Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach ⋮ The lumped mass finite element method for surface parabolic problems: error estimates and maximum principle ⋮ The fractional Allen-Cahn equation with the sextic potential ⋮ A parallel spectral deferred correction method for first-order evolution problems ⋮ Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint

Uses Software

• na14

Cites Work

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