Trefftz boundary elements - Multi-region formulations

International Journal for Numerical Methods in Engineering

Volumn 45, Issue 7, 1999, Pages 821-840

  Portela, A ^a   Charafi, A ^b  

^a UNIVERSIDADE NOVA DE LISBOA   (Portugal)

^b UNIVERSITY OF PORTSMOUTH   (United Kingdom)

Author keywords

Boundary elements; Potential problems; Trefftz method

Indexed keywords

BOUNDARY CONDITIONS; GALERKIN METHODS; INTEGRAL EQUATIONS; PROBLEM SOLVING;

TREFFTZ BOUNDARY ELEMENT METHOD;

BOUNDARY ELEMENT METHOD;

EID: 0033165228     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19990710)45:7<821::AID-NME606>3.0.CO;2-S     Document Type: Article

References (18)

1. Brebbia CA, Telles JCF, Wrobel LC. Boundary Element Techniques - Theory and Applications in Engineering; Springer: Berlin, 1984.
2. Trefftz E. Ein Gegenstuck Zum Riteschen Verfahren. Proceedings of the 2nd International Congress on Applied Mechanics, Zurich 1926:131-137.
3. Mikhlin SG. Variational Methods in Mathematical Physics; Pergamon Press: Oxford, 1964.
4. Kupradze VD. Three Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity; North-Holland: Amsterdam, 1979.
5. Zielinski AP., editor. Proceedings of the 1st International Workshop on Trefftz Method - Recent Development and Perspectives. Cracow University of Technology. Poland, 1996.
6. Cheung YK, Jin WG, Zienkiewicz OC. Direct solution procedure for harmonic problems using complete, non-singular, Trefftz functions. International Journal for Numerical Methods in Engineering 1989;5:159-169.
7. Jin WG, Cheung YK, Zienkiewicz OC. Application of the trefftz method in plane elasticity problems. International Journal of Numerical Methods in Engineering 1990;30:1147-1161.
8. Kita E, Kamiya N. Trefftz method: an overview. Advance Engineering Software 1995;24:3-12.
9. Portela A, Charafi A. Programming Trefftz boundary elements. Advance Engineering Software 1997;28:509-523.
10. Quinlan PM, Fitzgerald JE, Atluri SN. The edge-function method. Proceedings of the 1st International Symposium on Innovative Numerical Methods in Engineering Science, Versailles, 1997.
11. Quinlan PM. The torsion of an irregular polygon. Proceedings of the Royal Society 1964; 282A.
12. Huang SC, Shaw RP. The Trefftz method as an integral equation. Advance Engineering Software 1995;24:57-63.
13. Portela A, Charafi A, Trefftz boundary element method for domains with slits. Engineering Analysis with Boundary Elements 1997;20:299-304.
14. Atluri SN, Grannell JJ. Boundary element methods (BEM) and combination of BEM-FEM. GIT-ESM-SNA-78-16 Report, Georgia Institute of Technology, Atlanta, 1978.
15. Reddy JN. Applied Functional Analysis and Variational Methods in Engineering; McGraw-Hill: New York, 1986.
16. Titchmarsh EC. Eigenfunction Expansions Associated with Second-Order Differential Equations; Clarendon Press: Oxford, 1958.
17. Herrera I. Trefftz method In: Brebbia CA., editor. Topics in Boundary Element Research - Basic Principles and Applications; Springer: Berlin, 1984.
18. Collatz L. The Numerical Treatment of Differential Equations; Springer: Berlin, 1960.