“…This deficiency is a result of inadequate localization assumptions, which become particularly evident when extrapolating across large media contrasts. This introduces a pronounced lack of monotonicity unless the coarse-scale stencil is modified locally to be closer to the classic two-point scheme; see [16,51,57] for more details. Attempting to remedy this deficiency led to the development of iterative versions of MsFV, which we will discuss in Subsection 4.2.6.…”