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On the variational boundary integral equations in elastodynamics with the use of conjugate functions

โœ Scribed by H. D. Bui

Publisher
Springer Netherlands
Year
1992
Tongue
English
Weight
377 KB
Volume
28
Category
Article
ISSN
0374-3535

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โœฆ Synopsis

This paper proposes a Variational Boundary Integral Equation for time harmonic elasticity, using conjugate functions. A bifinear hermitian form for the variational formulation, as well as an a poster~ori error indicator are proposed. The method does not involve hypersingular integrals in the finite part sense and preserves the symmetrical structures of equations.

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This work presents a new recursion scheme to compute the cartesian derivatives of potentials on the smooth surface of a connected solid. The advocated strategy solely appeals to boundary-integral equations and a very few informations regarding the surface geometry. The whole algorithm is carefully t