Efficient numerical scheme for solving the Allen‐Cahn equation

DOI10.1002/num.22255zbMath1407.65130OpenAlexW2789388227WikidataQ115397950 ScholiaQ115397950MaRDI QIDQ4623407

Peter Bastian, Abdullah Shah, Muhammad Sabir, Muhammad Qasim

Publication date: 15 February 2019

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22255

zbMATH Keywords

finite element methodinterfacial dynamicsAllen-Cahn equationDUNE-PDELabdiagonally implicit fractional-step \(\theta\)-scheme

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (8)

Comparison of different time discretization schemes for solving the Allen-Cahn equation ⋮ An adaptive time-stepping algorithm for the Allen-Cahn equation ⋮ An adaptive time‐stepping scheme for the numerical simulation of Cahn‐Hilliard equation with variable mobility ⋮ Non-smooth solutions of time-fractional Allen-Cahn problems via novel operational matrix based semi-spectral method with convergence analysis ⋮ Unnamed Item ⋮ An unconditionally stable scheme for the Allen-Cahn equation with high-order polynomial free energy ⋮ Recovery type a posteriori error estimation of adaptive finite element method for Allen-Cahn equation ⋮ A practical adaptive grid method for the Allen-Cahn equation

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