IEVref: 102-05-28 ID: Language: en Status: Standard Term: Laplacian, Synonym1: Synonym2: Synonym3: Symbol: Definition: scalar Δf associated at each point of a given space region with a scalar f, equal to the divergence of the gradient of the scalar field Δf = div grad fNote 1 to entry: In orthonormal Cartesian coordinates, the Laplacian of a scalar field quantity is: $\Delta \text{ }f=\frac{{\partial }^{2}f}{\partial \text{\hspace{0.17em}}{x}^{2}}+\frac{{\partial }^{2}f}{\partial \text{\hspace{0.17em}}{y}^{2}}+\frac{{\partial }^{2}f}{\partial \text{\hspace{0.17em}}{z}^{2}}$. Note 2 to entry: The Laplacian of the scalar field f is denoted Δf or ∇2f, where Δ is the Laplacian operator. Publication date: 2008-08 Source: Replaces: Internal notes: 2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: