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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2023 2verdicts
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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.