Scientists found that the distance from a crack tip at which to take displacement measurements has to change with the mesh size used in simulations. They created a scaling law that links this sampling distance to the element size, and the law was tested on three numerical methods: standard quadratic finite elements, quadratic elements with quarter‐point singular points, and a multi‑point stress approximation finite volume method. The classic strategy of sampling the node closest to the crack tip does not give converging stress‑intensity factor (SIF) values; the error stays high even as the mesh is refined. Using the new scaling law, the error in the SIF estimates decreases consistently as the mesh is refined, for all four benchmark problems (Westergaard mode I, Westergaard mode II, Westergaard mixed mode, and Sneddon mode I). The optimal sampling distance moves closer to the crack tip as the mesh is refined; it is therefore mesh‑size dependent and cannot be fixed. The results show that careful, geometry‑aware sampling is essential for accurate SIF extraction with two‑point displacement correlation methods.