Abstract
The research in recent decades has established the boundary element method (BEM) as a powerful tool in computational mechanics. Even dynamic and non-linear problems have been solved for fluid and solid mechanics. One of the remaining drawbacks is that the BEM as previously used is based on an explicit knowledge of fundamental solutions. In many engineering problems, e.g. anisotropic media, we do not know these fundamental solutions.
Il y a plus de 50 ans que l’ingénieur Heaviside introduisit ses règles de calcul symbolique, dans un mémoire audacieux où des calculs mathématiques fort peu justifiés sont utilisés pour la solution de problèmes de physique. [...] Les ingénieurs utilisent [ce calcul symbolique] systématiquement, chacun avec sa conception personnelle, avec la conscience plus ou moins tranquille; c’est devenu une technique “qui n’est pas rigoureuse mais qui réussit bien”. L. Schwartz (1950), Théorie des Distributions, [Sch51]1
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References
Paraphrase of an electronic article written by J.J. O’Connor and E.F. Robertson; http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Fourier.html.
Paraphrase of an electronic article written by J.J. O’Connor and E.F. Robertson;http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Galerkin.html.
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© 2002 Springer-Verlag Berlin Heidelberg
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Duddeck, F.M.E. (2002). Introduction. In: Fourier BEM. Lecture Notes in Applied Mechanics, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45626-1_1
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DOI: https://doi.org/10.1007/978-3-540-45626-1_1
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