Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Numerical analysis of a continuum model of phase transition
SIAM Journal on Numerical Analysis
The global dynamics of discrete semilinear parabolic equations
SIAM Journal on Numerical Analysis
A multiphase field concept: numerical simulations of moving phase boundaries and multiple junctions
SIAM Journal on Applied Mathematics
Numerical experiments of phase separation in ternary mixtures
Mathematics and Computers in Simulation
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Conservative multigrid methods for Cahn-Hilliard fluids
Journal of Computational Physics
SIAM Journal on Numerical Analysis
A numerical method for the ternary Cahn--Hilliard system with a degenerate mobility
Applied Numerical Mathematics
An Algebraic Multigrid Method with Guaranteed Convergence Rate
SIAM Journal on Scientific Computing
Numerical and computational efficiency of solvers for two-phase problems
Computers & Mathematics with Applications
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In this work we develop preconditioners for the iterative solution of the large scale algebraic systems, arising in finite element discretizations of microstructures with an arbitrary number of components, described by the diffusive interface model. The suggested numerical techniques are applied to the study of ternary fluid flow processes.