Boundary integral Trefftz formulation with symmetric collocation

Computational Mechanics

Volumn 25, Issue 6, 2000, Pages 515-523

  De Freitas, J A T ^a   Leitao V M A ^a  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FINITE ELEMENT METHOD; GALERKIN METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBLEM SOLVING;

BOUNDARY INTEGRAL TREFFTZ FORMULA; DIRAC FUNCTIONS; NEUMANN CONDITIONS; SYMMETRIC COLLOCATION;

ELASTICITY;

EID: 0033706194     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050499     Document Type: Article

References (22)

1. Adey RE, Kamiya N, Kita E (Eds.) (1995) Trefftz method: 70 years. Special issue of Adv. Eng. Software 24
2. Almeida JPM, Freitas JAT (1996) On the parallel implementation of non-conventional finite element formulations. In: Papadrakakis M (Ed.) Advanced Finite Element Solution Techniques, CIMNE, Barcelona
3. de Paulis A, Guiggiani M (1984) MABEM: Un programa di calcolo, basato sul metodo degli elementi di frontiera, per l'analisi statica di corpi piani e spaciali. In: XII Cong. Naz. Associazione Italiana delle Sollecitazioni, Sorrento
4. Freitas JAT (1989) Duality and symmetry in mixed integral methods of elastostatics. Int. J. Numer. Meth. Eng. 28: 1161-1179
5. Freitas JAT (1990) Mixed and hybrid symmetric formulations for the boundary element method. Eur. J. Mechanics, A/Solids 9: 1-20
6. Freitas JAT, Ji ZY (1996) Hybrid-Trefftz boundary integral formulation for the simulation of singular stress fields. Int. J. Num. Meth. Eng. 39: 281-308
7. Freitas JAT, Ji ZY (1996) Hybrid-Trefftz equilibrium model for crack problems. Int. J. Num. Meth. Eng. 39: 569-584
8. Freitas JAT, Almeida JPM, Pereira EMBR (1998) Non-conventional formulations for the finite element method. In: Atluri SN, O'Donoghue PE (Eds.) Modeling and Simulation Based Engineering, Tech Science Press
9. Freitas JAT (1998) Formulation of elastostatic hybrid-Trefftz stress elements. Comp. Meth. Appl. Mech. Eng. 153: 127-151
10. Freitas JAT, Cismasiu C (1999) Numerical implementation of hybrid-Trefftz displacement elements. Comput. Struct., in press
11. Jirousek J, Wróblewski A (1996) T-elements: State of the art and future trends. Arch. Comp. Meth. Eng. 3(4): 323-434
12. Jirousek J, Zielinski AP (1997) Survey of Trefftz-type element formulations. Comp. Struct. 63: 225-242
13. Kita E, Kamiya N, Ikeda Y (1995) Boundary-type sensitivity analysis scheme based on indirect Trefftz formulation. Adv. Eng. Software 24: 89-96
14. Kleiber M, Mang H, Zielinski AP (Eds.) (1997) Trefftz method: recent developments and perspectives, special issue of Comp. Assist. Mech. Eng. Sci. 4(3/4)
15. Leitão VMA (1997) On the implementation of a multi-region Trefftz-collocation formulation for 2-D potential problems. Eng. Anal. Bound. Ele. 20: 51-61
16. Leitão VMA (1998) Application of multi-region Trefftz-collocation to fracture mechanics. Eng. Anal. Bound. Ele. 22: 251-256
17. Munro J, Smith DL (1972) Linear programming duality in plastic analysis and synthesis. In: Proc. Int. Symp. Computer-Aided Structural Design, Coventry
18. Munro J, Fonseca AMA (1974) Yield line method by finite elements and linear programming. The Structural Engineer 568: 37-44
19. Robinson J (1973) Integrated Theory of Finite Element Methods, John Wiley, London
20. Sirtori S, Maier G, Novati G, Miccoli S (1992) A Galerkin symmetric boundary-element method in elasticity: formulation and implementation. Int. J. Num. Meth. Eng. 35: 255-282
21. Trefftz E (1926) Ein Gegenstück zum Ritzchen Verfahren. In: Proc. 2nd Int. Cong. Applied Mechanics, Zurich
22. Zielinski AP (1988) Trefftz method: elastic and elasto-plastic problems. Comp. Meth. Appl. Mech. Eng. 69: 185-204