Vector analysis and Cartesian tensors

By D. E. Bourne, P. Kendall. 1977

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Control functionals for Monte Carlo integration (2014, positive): “Since @Ω is piecewise smooth we can apply the divergence theorem (e.g. Bourne and Kendall (1977), page 159) to obtain μ.ψ/= ∫ Ω ψ.x/π.x/dx = ∫ Ω ∇x ·{φ.x/π.x/}dx = ∮ @Ω π.x/φ.x/ ·n.x/S.dx/, which is 0 by assumption 2.”
A vertex‐based finite volume method applied to non‐linear material problems in computational solid mechanics (2003, background): “Applying the divergence theorem [22] to the bracketed integral in equatio n (14), such that Z ei @Nei @xj d = Z@ ei njNid ; where@ ei is the boundary surface of the element.”