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IEVref: | 102-05-27 | ID: | |

Language: | en | Status: Standard | |

Term: | Laplacian operator | ||

Synonym1: | Laplacian | ||

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Definition: | symbolic notation expressed formally as a scalar, operating at each point of a given space region on scalars or vectors, and which, in orthonormal Cartesian coordinates, is represented by $\Delta =\frac{{\partial}^{2}}{\partial \text{\hspace{0.05em}}{x}^{2}}+\frac{{\partial}^{2}}{\partial \text{\hspace{0.05em}}{y}^{2}}+\frac{{\partial}^{2}}{\partial \text{\hspace{0.05em}}{z}^{2}}$ Note 1 to entry: The Laplacian operator is denoted by Δ, ∇ | ||

Publication date: | 2008-08 | ||

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Internal notes: | 2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO | ||

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$\Delta =\frac{{\partial}^{2}}{\partial \text{\hspace{0.05em}}{x}^{2}}+\frac{{\partial}^{2}}{\partial \text{\hspace{0.05em}}{y}^{2}}+\frac{{\partial}^{2}}{\partial \text{\hspace{0.05em}}{z}^{2}}$

Note 1 to entry: The Laplacian operator is denoted by Δ, ∇ ^{2} or ∇⋅∇.