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Exploiting partial or complete geometrical symmetry in boundary integral equation formulations of elastodynamic problems. (English) Zbl 1010.74073

Babuška, Ivo (ed.) et al., Mathematical modeling and numerical simulation in continuum mechanics. Proceedings of the international symposium, Yamaguchi, Japan, September 29 - October 3, 2000. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 19, 253-269 (2002).
Summary: We develop procedures based on group representation theory, allowing the exploitation of geometrical symmetry in symmetric Galerkin BEM formulations of three-dimensional elastodynamic problems. They are applicable to both commutative and noncommutative finite symmetry groups, and to partial geometrical symmetry where the boundary has two disconnected components one of which is symmetric.
For the entire collection see [Zbl 0976.00035].

MSC:

74S15 Boundary element methods applied to problems in solid mechanics
74H15 Numerical approximation of solutions of dynamical problems in solid mechanics
20C35 Applications of group representations to physics and other areas of science
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