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IEVref:102-05-28ID:
Language:enStatus: Standard
Term: Laplacian, <of a scalar field>
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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 f

Note 1 to entry: In orthonormal Cartesian coordinates, the Laplacian of a scalar field quantity is:

Δf= 2 f x 2 + 2 f y 2 + 2 f z 2 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaGWaaiab=r5aejaayI W7caWGMbGaeyypa0ZaaSaaaeaacqGHciITdaahaaWcbeqaaiaaikda aaGccaWGMbaabaGaeyOaIyRaaGPaVlaadIhadaahaaWcbeqaaiaaik daaaaaaOGaey4kaSYaaSaaaeaacqGHciITdaahaaWcbeqaaiaaikda aaGccaWGMbaabaGaeyOaIyRaaGPaVlaadMhadaahaaWcbeqaaiaaik daaaaaaOGaey4kaSYaaSaaaeaacqGHciITdaahaaWcbeqaaiaaikda aaGccaWGMbaabaGaeyOaIyRaaGPaVlaadQhadaahaaWcbeqaaiaaik daaaaaaaaa@5816@ .

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
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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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