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- W1997949229 abstract "Phase-field models, consisting of a set of highly nonlinear coupled parabolic partial differential equations, are widely used for the simulation of a range of solidification phenomena. This article focuses on the numerical solution of one such model, representing anisotropic solidification in three space dimensions. The main contribution of the work is to propose a solution strategy that combines hierarchical mesh adaptivity with implicit time integration and the use of a nonlinear multigrid solver at each step. This strategy is implemented in a general software framework that permits parallel computation in a natural manner. Results are presented that provide both qualitative and quantitative justifications for these choices.© 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010" @default.
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- W1997949229 date "2010-09-29" @default.
- W1997949229 modified "2023-09-25" @default.
- W1997949229 title "An adaptive, multilevel scheme for the implicit solution of three-dimensional phase-field equations" @default.
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- W1997949229 doi "https://doi.org/10.1002/num.20634" @default.
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