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- W2119682008 abstract "We introduce provably unconditionally stable mixed variational methods for phase-field models. Our formulation is based on a mixed finite element method for space discretization and a new second-order accurate time integration algorithm. The fully-discrete formulation inherits the main characteristics of conserved phase dynamics, namely, mass conservation and nonlinear stability with respect to the free energy. We illustrate the theory with the Cahn-Hilliard equation, but our method may be applied to other phase-field models. We also propose an adaptive time-stepping version of the new time integration method. We present some numerical examples that show the accuracy, stability and robustness of the new method." @default.
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- W2119682008 date "2011-06-01" @default.
- W2119682008 modified "2023-10-17" @default.
- W2119682008 title "Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models" @default.
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- W2119682008 doi "https://doi.org/10.1016/j.jcp.2011.03.033" @default.
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