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

Volumn 56, Issue 2, 1986, Pages 167-215

  Bossavit, A ^a  

^a EDF R AND D   (France)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - BOUNDARY VALUE PROBLEMS;

BOUNDARY VALUE PROBLEMS; GEOMETRICAL SYMMETRY; NONCOMMUTATIVE HARMONIC ANALYSIS;

STRUCTURAL DESIGN;

EID: 0022733505     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7825(86)90119-2     Document Type: Article

References (33)

1. Harmonic analysis as the exploitation of symmetry—a historical survey
2. Symmetry in structural mechanics
3. Nastran cyclic symmetry capabilities
4. Dynamics of rotationally periodic structures
5. Wave propagation and natural modes in periodic systems
6. Method of symmetrical co-ordinates applied to the solution of polyphase networks
7. Circulant matrices and the theory of symmetrical components
8. Symmetric substructures
9. Méthodes de calcul statique et dynamique des structures à symétries cycliques
10. Use of group theory in various integral equations
11. Use of screw translational symmetry for the vibration analysis of structures
12. Analysis of symmetric or partially symmetric structures
13. Application of group theory to the method of finite elements for solving boundary value problems
14. Free vibration of periodic structures with dihedrally-symmetric substructures
15. Topics in Bifurcation Theory
16. On the possible application of group representations to some boundary value and eigenvalue problems of certain domains without classical symmetry
17. On the possible application of group representations to some boundary value and eigenvalue problems of certain domains without classical symmetry
18. On the possible application of group representations to some boundary value and eigenvalue problems of certain domains without classical symmetry
19. Vibration analysis of multi-symmetric structures