Numerical solution of Allen-Cahn model on surfaces via an effective method based on generalized moving least squares (GMLS) approximation and the closest point approach

DOI10.1016/j.enganabound.2023.04.019zbMATH Open1539.65148MaRDI QIDQ6539086

Mehdi Dehghan, Hasan Zamani-Gharaghoshi, Mostafa Abbaszadeh

Publication date: 14 May 2024

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

zbMATH Keywords

Laplace-Beltrami operatorclosest point methodpartial differential equations on surfacesmotion by mean curvaturefourth-order Runge-Kutta schemeoperator splitting techniquephase separation processgeneralized moving least-squares (GMLS)surface Allen-Cahn model

Mathematics Subject Classification ID

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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

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Analysis and application of MLPG7 for diffusion equations with nonlinear reaction terms ⋮ Direct RBF-PU method combined with the tangent plane approach for parabolic equation on surface

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