IEC 60050 - International Electrotechnical Vocabulary


IEVref:	102-05-32	ID:
Language:	en	Status: Standard

Term:	first Green formula
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Definition:	identity resulting from the divergence theorem applied to the vector field $f_{1} grad f_{2}$ , where f₁ and f₂ are two scalar fields given at each point of a three-dimensional domain V limited by a closed surface S $\underset{V}{∭} (grad f_{1} \cdot g r a d f_{2} + f_{1} Δ f_{2}) d V = \underset{S}{∯} f_{1} g r a d f_{2} \cdot e_{n} d A$ where dV is the volume element, e_ndA is the vector surface element and Δ is the Laplacian operator Note 1 to entry: In English the first Green formula is sometimes called “first Green theorem” or “first Green identity”.
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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