Abstract
BEM makes possible solutions to differential problems in complex geometries. Values, e.g. the displacements and volume forces, in the interior of an n-dimensional domain Ω ⊂ ℝn, n = 2, 3 (Fig. 2.1) are related to exterior quantities like the displacements and the tractions at the boundary ∂Ω.
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Reference
E. Betti Il Nuovo Ciemento 7–8 (1872).
G. Green: An Essay on the Application of Mathematical Analysis to the Theories of Electricity and Magnetism. Nottingham (1828).
C. Somigliana: Sopra L’equilibrio di un corpo elastico isotrope. Il Nuovo Ciemento 17–19 (1886).
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© 2002 Springer-Verlag Berlin Heidelberg
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Betti, E. (2002). Traditional BEM. In: Fourier BEM. Lecture Notes in Applied Mechanics, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45626-1_2
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DOI: https://doi.org/10.1007/978-3-540-45626-1_2
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