Method of Lines Transpose: Energy Gradient Flows Using Direct Operator Inversion for Phase-Field Models
Method of Lines Transpose: Energy Gradient Flows Using Direct Operator Inversion for Phase-Field Models
In this work, we develop an $\mathcal{O}(N)$ implicit real space method in 1D and 2D for the Cahn--Hilliard (CH) and vector Cahn--Hilliard (VCH) equations, based on the method of lines transpose (MOL$^{T}$) formulation. This formulation results in a semidiscrete time stepping algorithm, which we prove is gradient stable in the …