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.
Mayo, The rapid evaluation of volume integrals of potential theory on general regions, Journal of Computational Physics 100 (2) (1992) 236–245
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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.