Exploiting partial or complete geometrical symmetry in 3D symmetric Galerkin indirect BEM formulations

International Journal for Numerical Methods in Engineering

Volumn 57, Issue 8, 2003, Pages 1053-1083

  Bonnet, Marc ^a  

^a LABORATOIRE DE MÉCANIQUE DES SOLIDES   (France)

Author keywords

Geometrical symmetry; Indirect BEM; Symmetric Galerkin BEM

Indexed keywords

BOUNDARY ELEMENT METHOD; GALERKIN METHODS; GEOMETRY; THREE DIMENSIONAL;

GEOMETRICAL SYMMETRY; GROUP REPRESENTATION THEORY;

ELASTICITY;

MATHEMATICAL METHOD;

EID: 0038036303     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.716     Document Type: Article

References (10)

1. Bossavit A. Symmetry, groups and boundary value problems: a progressive introduction to noncommutative harmonic analysis of partial differential equations in domains with geometrical symmetry. Computer Methods in Applied Mechanics and Engineering 1986; 56:167-215.
2. Serre JP. Linear Representations of Finite Groups. Springer: Berlin, 1977.
3. Vinberg EB. Linear Representations of Groups. Birkhäuser: Basel, 1989.
4. Allgower EL, Georg K, Miranda R, Tausch J. Numerical exploitation of equivariance. Zeitschrift fur Angewandte Mathematik und Mechanik 1998; 78:795-806.
5. Bonnet M. On the use of geometrical symmetry in the boundary element methods for 3D elasticity. In Brebbia CA (ed.), Boundary Element Technology, vol. VI. Computer Mechanics Publ. Southampton, 1991; 185-201.
6. Lobry J, Broche Ch. Geometrical symmetry in the boundary element method. Engineering Analysis with Boundary Element 1994; 14:229-238.
7. Bonnet M, Maier G, Polizzotto C. Symmetric Galerkin boundary element methods. Applied Mechanics Review 1998; 51:669-704.
8. Nedelec JC. Integral equations with non integrable kernels. Integral Equations and Operator Theory 1982; 5:562-572.
9. Stroud AH. Approximate Calculation of Multiple Integrals. Prentice-Hall: Englewood Cliffs, NJ, 1971.
10. Sih GC. Handbook of Stress-Intensity Factors. Lehigh University: Bethleem, Pennsylvania, USA, 1973.