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The Phase Field Method for Geometric Moving Interfaces and Their Numerical Approximations
[article]
2019
arXiv
pre-print
This paper surveys recent numerical advances in the phase field method for geometric surface evolution and related geometric nonlinear partial differential equations (PDEs). Instead of describing technical details of various numerical methods and their analyses, the paper presents a holistic overview about the main ideas of phase field modeling, its mathematical foundation, and relationships between the phase field formalism and other mathematical formalisms for geometric moving interface
arXiv:1902.04924v2
fatcat:tqpsb3quufa4bkelzhxcxqfsbe