A stable and structure-preserving scheme for a non-local Allen-Cahn equation

DOI10.1007/s13160-018-0326-8zbMath1403.65043OpenAlexW2890362545MaRDI QIDQ1630238

Makoto Okumura

Publication date: 7 December 2018

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-018-0326-8

zbMATH Keywords

discrete variational derivative methodnon-local Allen-Cahn equation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (9)

The high-order maximum-principle-preserving integrating factor Runge-Kutta methods for nonlocal Allen-Cahn equation ⋮ Energy quadratization Runge-Kutta scheme for the conservative Allen-Cahn equation with a nonlocal Lagrange multiplier ⋮ Maximum principle preserving and unconditionally stable scheme for a conservative Allen-Cahn equation ⋮ A structure-preserving scheme for the Allen-Cahn equation with a dynamic boundary condition ⋮ Novel mass-conserving Allen-Cahn equation for the boundedness of an order parameter ⋮ Explicit third-order unconditionally structure-preserving schemes for conservative Allen-Cahn equations ⋮ A high-order and unconditionally energy stable scheme for the conservative Allen-Cahn equation with a nonlocal Lagrange multiplier ⋮ A conservative Allen-Cahn equation with a curvature-dependent Lagrange multiplier ⋮ A new conservative finite difference scheme for 1D Cahn-Hilliard equation coupled with elasticity

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