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)
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
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)
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