Numerical simulation and error estimation of the time-dependent Allen-Cahn equation on surfaces with radial basis functions
Well-known radial basis function methods are used to discretise the Allen-Cahn equation on surfaces in \(\mathbb{R}^3\) without boundary, together with a first-order splitting technique in time. An error analysis based on a conjecture is presented. Additionally, results of some numerical experiments are shown.
scientific article; zbMATH DE number 7074534
scientific article