P-Version Static Infinite Element for Representing 1/rn Type Decay Problems in Unbounded Media

Computers and Geotechnics

Volumn 22, Issue 1, 1998, Pages 73-89

  Koh, K H ^a   Lee, S R ^a  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ELASTICITY; FINITE ELEMENT METHOD; FUNCTIONS;

DECAY PROBLEMS; INFINITE ELEMENT METHOD;

GEOTECHNICAL ENGINEERING;

INFINITE ELEMENT; UNBOUNDED MEDIUM;

EID: 0031943913     PISSN: 0266352X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0266-352X(97)00032-3     Document Type: Article

References (24)

1. Ungless, R. L., An infinite element method. M A Sc thesis, University of British Columbia, 1973.
2. Bettess, P., Infinite elements. Numerical Methods in Engineering, 1977, 11, 54-64.
3. Beer, G. and Meek, J. L., Infinite domain elements. Numerical Methods in Engineering, 1981, 17, 43-52.
4. Curnier, A., A static infinite element. Numerical Methods in Engineering, 1983, 19, 1479-1488.
5. Bettess, P., More on infinite elements. Numerical Methods in Engineering, 1992, 15, 1613-1626.
6. Kumar, P., Static infinite element formulation. ASCEST, 1985, III, 2355-2372.
7. Chow, Y. K. and Smith, I. M., Static and periodic infinite solid elements. Numerical Methods in Engineering, 1981, 17, 503-526.
8. Medina, F. and Penzien, J., Infinite elements for elastodynamics. Earthquake Engineering and Structural Dynamics, 1982, 10, 699-709.
9. Rajapakse, R. K. N. D. and Karasudhi, P., Elastodynamic infinite elements for layered half space. J. Eng. Mech, ASCE, 1985, III, 1144-1158.
10. Yang, S.-C. and Yun, C.-B., Axisymmetric infinite elements for soil-structure interaction analysis. Eng. Struct., 1992, 14, 361-370.
11. Yun, C.-B., Kim, J. M. and Hyun, C. H., Axisymmetric infinite elements for multi-layered half-space. Numerical Methods in Engineering, 1995, 38, 3723-3743.
12. Bettess, P. and Zienkiewicz, O. C., Diffiaction and refraction of surface waves using finite and infinite elements. Numerical Mehods in Engineering, 1977, 11, 1271-1290.
13. Park, W. S., Yun, C.-B. and Pyun, C. K., Infinite elements for evaluation of hydrodynamic forces on offshore structures. Computers and Structures, 1991, 40, 837-847.
14. Marques, J. M. M. C. and Owen, D. R. J., Infinite elements in quasi-static materially nonlinear problems. Computers and Structures, 1984, 18, 735-751.
15. Karpurapu, G. R. and Bathurst, R. J., Comparative analysis of some geomechanics problems using finite and infinite element methods. Computers and Geotechnics, 1988, 5, 269-284.
16. Cheng, Y. M., The use of infinite element. Computers and Geotechnics, 1996, 18, 65-70.
17. n type decay. Numerical Methods in Engineering, 1981, 17, 347-355.
18. Babuska, I., Szabo, B. A. and Katz, I. N., The p-version of the finite element method. SIAM J. Numer. Anal., 1981, 18, 515-545.
19. Babuska, I., Griebel, M. and Pitkaranta, J., The problem of selecting the shape functions for a p-type finite element. Numerical Methods in Engineering, 1989, 28, 1891-1908.
20. Davis, Philip T. and Rabinowitz, P., Methods of Numerical Integration, 2nd edn. Academic Press, 1984, pp. 39-40.
21. Saada, Adel S., Elasticiy Theory and Applications, Pergamon Press Inc., 1974, pp. 329-331.
22. Timoshenko, S. P. and Goodier, J. N., Theory of Elasticity, 3rd edn. McGraw Hill, 1970, pp. 403-405.
23. Ellis, R. and Gulick, D., Calculus with Analytic Geometry, 2nd edn. Harcourt Brace Jovanovich, Inc., 1982, pp. 329-332.
24. Kreyszig, E., Advanced Engineering Mathematics, 5th edn. John Wiley & Sons, 1983, pp. 195-196.