A high-order and unconditionally energy stable scheme for the conservative Allen-Cahn equation with a nonlocal Lagrange multiplier

DOI10.1007/s10915-021-01735-1zbMath1481.65139OpenAlexW4200354575MaRDI QIDQ2063174

Hyun Geun Lee, Jaemin Shin, June-Yub Lee

Publication date: 10 January 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-021-01735-1

zbMATH Keywords

mass conservationconvex splittingunconditional energy stabilityconservative Allen-Cahn equationhigh-order time accuracyunconditional unique solvability

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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) Numerical methods for discrete and fast Fourier transforms (65T50) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Ginzburg-Landau equations (35Q56)

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