Variationally-based hybrid boundary element methods

Computer Assisted Mechanics and Engineering Sciences

Volumn 10, Issue 4, 2003, Pages 407-430

  Dumont, Ney Augusto ^a  

^a PONTIFICAL CATHOLIC UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

Boundary element methods; Generalized inverse matrices; Variational methods

Indexed keywords

BOUNDARY CONDITIONS; DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; INTERPOLATION; MATRIX ALGEBRA; POLYNOMIAL APPROXIMATION; STRESS ANALYSIS; THEOREM PROVING; VARIATIONAL TECHNIQUES;

GENERALIZED INVERSE MATRICES; VARIATIONAL METHODS;

BOUNDARY ELEMENT METHOD;

EID: 0842267171     PISSN: 1232308X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (20)

1. N. A. Dumont. The variational formulation of the boundary element method. In C. A. Brebbia and W. Venturini, editors, Boundary Element Techniques: Applications in Fluid Flow and Computational Aspects, Computational Mechanics Publications, pages 225-239. Adlard and Son Ltd., Southampton, 1987.
2. N. A. Dumont. The hybrid boundary element method: an alliance between mechanical consistency and simplicity. Applied Mechanics Reviews, 42(11): S54-S63, 1989.
3. T. H. H. Pian. Element stiffness matrices for boundary compatibility and for prescribed boundary stresses. In Proc. Conf. on Matrix Meths. in Struct. Mech., AFFDL-TR-66-80, pages 457-477, Wright Patterson Air Force Base, Ohio, 1966.
4. J. T. Oden and J. N. Reddy. An Introduction to the Mathematical Theory of Finite Elements. John Wiley & Sons, New York, 1976.
5. T. G. B. De Figueiredo. A new boundary element formulation in engineering. In C. A. Brebbia and S. A. Orszag, editors, Lecture Notes in Engineering. Springer-Verlag, 1991.
6. N. A. Dumont and R. Oliveira. Fundamentals of the hybrid displacement boundary element method. In C. A. Brebbia and H. Power, editors, Boundary Elements XXII. WIT Press, Southampton, 2000.
7. N. A. Dumont. An assessment of the spectral properties of the matrix g used in the boundary element methods. Computational Mechanics, 22(1): 32-41, 1998.
8. N. A. Dumont and A. A. O. Lopes. On the explicit evaluation of stress intensity factors in the hybrid boundary element method. Fatigue & Fracture of Engineering Materials & Structures, 26: 151-165, 2003.
9. H. B. Li, G. M. Han, H. A. Mang, and P. A. Torzicky. A new method for the coupling of finite element and boundary element discretized subdomains of elastic bodies. Comp. Meth. Appl. Mech. Eng, 54: 161-185, 1986.
10. J. F. C. Telles and F. A. De Paula. Boundary elements with equilibrium satisfaction - a consistent formulation for potential and elastostatics problems. Int. Journal for Num. Meth. In Engineering, 32: 609-621, 1991.
11. C. A. Brebbia, J. C. F. Telles, and L. C. Wrobel. Boundary Element Techniques: Theory and Applications in Engineering. Springer-Verlag, Berlin, 1984.
12. N. A. Dumont. On the efficient numerical evaluation of integrals with complex singularity poles. Engineering Analysis with Boundary Elements, 13: 155-168, 1994.
13. P. W. Partridge, C. A. Brebbia, and L. C. Wrobel. The Dual Reciprocity Boundary Element Method. Computational Mechanics Publication, 1992.
14. M. F. F. Oliveira. Development of a boundary-only formulation for the general solution of problems involving body forces. Master's thesis, PUC-Rio, Brazil, 2004. in progress.
15. A. Ben-Israel and T. N. E. Greville. Generalized Inverses: Theory and Applications. Krieger, 1980.
16. R. Bott and R. J. Duffin. On the algebra of networks. Trans. Amer. Math. Soc., 74: 99-109, 1953.
17. N. A. Dumont. The hybrid boundary element method. In: C. A. Brebbia, W. Wendland, and G. Kuhn, editors, Boundary Elements IX, Vol 1: Mathematical and Computational Aspects, Computational Mechanics Publications, pages 125-138. Springer-Verlag, Southampton, 1987.
18. N. A. Dumont and R. Oliveira. The hybrid displacement boundary element method applied to transient problems. In Proceedings XXI CILAMCE - 21st Iberian and Latin-American Congress of Computational Methods for Engineering, Rio de Janeiro, 2000. 20 pp in CD.
19. R. A. P. Chaves. The Simplified Hybrid Boundary Element Method Applied to Time-Dependent Problems. PhD thesis, PUC-Rio, Brazil, 2003. in Portuguese.
20. N. A. Dumont and R. A. P. Chaves. Analysis of general time-dependent problems with the hybrid boundary element method. In BETECH 15 - 15th International Conference on Boundary Element Technology, Detroit, USA, 2003.