Numerical approximation of the conservative Allen–Cahn equation by operator splitting method

DOI10.1002/mma.4317zbMath1373.65076OpenAlexW2588848922MaRDI QIDQ4977865

Qingqu Zhuang, Zhifeng Weng

Publication date: 17 August 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4317

zbMATH Keywords

stabilityconvergenceoperator splittingerror estimatediscrete maximum principlespectral methodnumerical experimentmass-conserving Allen-Cahn equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (10)

Consistent and conservative scheme for incompressible two-phase flows using the conservative Allen-Cahn model ⋮ An effective operator splitting scheme for two-dimensional conservative nonlocal Allen-Cahn equation ⋮ 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 ⋮ Fast and efficient numerical method for solving the Allen-Cahn equation on the cubic surface ⋮ The numerical solutions for the energy-dissipative and mass-conservative Allen-Cahn equation ⋮ Novel mass-conserving Allen-Cahn equation for the boundedness of an order parameter ⋮ A conservative Allen-Cahn equation with a curvature-dependent Lagrange multiplier ⋮ Error analysis and numerical simulations of Strang splitting method for space fractional nonlinear Schrödinger equation ⋮ Phase field modeling and computation of multi-component droplet evaporation

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