KFBI-ADI schemes achieve second-order accuracy and unconditional stability for 3D heat equations with irregular boundaries and interfaces, verified numerically and applied to Stefan problems with level sets.
Chen, Generation and propagation of interfaces for reaction-di ffusion equations, Journal of Di fferential Equa- tions 96 (1) (1992) 116–141
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A boundary integral method on Cartesian grids is introduced for moving interface problems, using θ-L variables for stable evolution and fast solvers for efficiency, demonstrated on complex fingering and solidification cases.
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ADI schemes for heat equations with irregular boundaries and interfaces in 3D with applications
KFBI-ADI schemes achieve second-order accuracy and unconditional stability for 3D heat equations with irregular boundaries and interfaces, verified numerically and applied to Stefan problems with level sets.
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A Cartesian grid-based boundary integral method for moving interface problems
A boundary integral method on Cartesian grids is introduced for moving interface problems, using θ-L variables for stable evolution and fast solvers for efficiency, demonstrated on complex fingering and solidification cases.