Object-oriented finite elements III. Theory and application of automatic programming

Computer Methods in Applied Mechanics and Engineering

Volumn 154, Issue 1-2, 1998, Pages 41-68

  Eyheramendy, D ^a   Zimmermann, Th ^a  

^a EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTATIONAL FLUID DYNAMICS; FINITE ELEMENT METHOD; LEAST SQUARES APPROXIMATIONS;

AUTOMATIC PROGRAMMING; GALERKIN FORMULATION; STOKES FLOW;

OBJECT ORIENTED PROGRAMMING;

EID: 0031999170     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00096-0     Document Type: Article

References (26)

1. Th. Zimmermann and D. Eyheramendy, Object-oriented finite elements. I. Principles of symbolic derivations and automatic programming, Comput. Methods Appl. Mech. Engrg. 132 (1996) 259-276.
2. D. Eyheramendy and Th. Zimmermann, Object-oriented finite elements. II. A symbolic environment for automatic programming, Comput. Methods Appl. Mech. Engrg. 132 (1996) 277-304.
3. G. Yagawa, G.-W. Ye and S. Yoshimura, A numerical integration scheme for finite element method based on symbolic manipulation, Int. J. Numer. Methods Engrg. 29 (1990) 1539-1549.
4. L. Leff and Y.Y. Yun, The symbolic finite element analysis system, Comput. Struct. 41 (1991) 227-231.
5. N.I. Ioakimidis, Elementary applications of MATHEMATICA to the solution of elasticity problems by the finite element method, Comput. Methods Appl. Mech. Engrg. 102 (1993) 29-40.
6. D.K. Choi and S. Nomura, Application of symbolic computation to two-dimensional elasticity, Comput. Struct. (1992) 645-649.
7. M.M. Cecchi and C. Lami, Automatic generation of stiffness matrices for finite element analysis, Int. J. Numer. Methods Engrg. 11 (1977) 396-400.
8. A.R. Korncoff and S.J. Fenves, Symbolic generation of finite element stiffness matrices, Comput. Struct. 10 (1979) 119-124.
9. P.S. Wang, FINGER: A symbolic system for automatic generation of numerical programs in finite element analysis, J. Symbolic Comput. 2 (1986) 305-316.
10. R.L. Peskin and M.F. Russo, An object-oriented system environment for partial differential equation solution, Proc. ASME Computations in Engineering (1988) 409-415.
11. D. Eyheramendy and Th. Zimmermann, Object-oriented finite element programming: An interactive environment for symbolic derivations, application to an initial boundary value problem, Adv. Engrg. Soft. 27 (1996) 3-10.
12. T.J.R. Hughes, The Finite Element Method (Prentice-Hall, Englewood Cliffs, NJ, 1987).
13. L.P. Franca, New mixed finite element methods, Ph.D. Thesis report, Stanford University, 1987.
14. L.P. Franca and E.G. Dutra Do Carmo, The Galerkin gradient least-squares method, Comput. Methods Appl. Mech. Engrg. 74 (1989) 41-54.
15. Th. Zimmermann, Y. Dubois-Pèlerin and P. Bomme, Object-oriented finite element programming. I. Governing principles, Comput. Methods Appl. Mech. Engrg. 98 (1992) 291-303.
16. Y. Dubois-Pèlerin, Th. Zimmermann and P. Bomme, Object-oriented finite element programming. II. A protype program in Smalltalk, Comput. Methods Appl. Mech. Engrg. 98 (1992) 361-397.
17. Y. Dubois-Pèlerin and Th. Zimmermann, Object-oriented finite element programming. III. An efficient implementation in C++, Comput. Methods Appl. Mech. Engrg. 108 (1993) 165-183.
18. Smalltalk V, 32-Bit Object-oriented Programming System, Reference guide, Digitalk Inc., 1994.
19. pc™001 (Elmepress International, 1992).
20. C++™ 001 (Elmepress International, 1992).
21. L.P. Franca, S.L. Frey and Th.J.R. Hughes, Stabilized finite element methods. I. Application to the advective-diffusive model, Comput. Methods Appl. Mech. Engrg. 95 (1992) 253-276.
22. Th. Zimmermann and D. Eyheramendy, Symbolic object-oriented finite element programming - Application to incompressible viscous flow, Proc. IECS 95 Hawaii, Vol. 1 (1995) 21-26.
23. D. Eyheramendy and Th. Zimmermann, Programmation orientée objet appliquée à la méthode des éléments finis: dérivations symboliques, programmation automatique, La Revue Européenne des éléments finis, 4 (1995) 327-360.
24. ieme Colloque national en calcul des structures de Giens (1995) 717-722.
25. Th. Zimmermann and D. Eyheramendy, Object-oriented finite elements programming: Automatic programming, Proc. Third Congress on Computational Mechanics (IACM), Chiba, Japan, Vol. II (1994) 1527-1528.
26. L.P. Franca, S.L. Frey and Th.J.R. Hughes, Stabilized finite element methods. II. The incompressible Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg. 99 (1992) 209-233.