A structure preserving front tracking finite element method for the Mullins–Sekerka problem

نویسندگان

چکیده

Abstract We introduce and analyse a fully discrete approximation for mathematical model the solidification liquidation of materials negligible specific heat. The is two-sided Mullins–Sekerka problem. discretization uses finite elements in space an independent parameterization moving free boundary. prove unconditional stability exact volume conservation introduced scheme. Several numerical simulations, including nearly crystalline surface energies, demonstrate practicality accuracy presented method.

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ژورنال

عنوان ژورنال: Journal of Numerical Mathematics

سال: 2022

ISSN: ['1570-2820', '1569-3953']

DOI: https://doi.org/10.1515/jnma-2021-0131