An adaptive method for the determination of element degree for acquiring the desired accuracy in 2-D BEM

Advances in Engineering Software

Volumn 28, Issue 4, 1997, Pages 259-265

  Zhan, Jianjun ^a   Yokoyama, Masaaki ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Adaptive method; Boundary element method; Computational mechanics; Error analysis; Numerical analysis

Indexed keywords

ALGORITHMS; COMPUTER SOFTWARE; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; NUMERICAL ANALYSIS;

ADAPTIVE METHOD; COMPUTATIONAL MECHANICS; TWO DIMENSIONAL BOUNDARY ELEMENT METHOD;

BOUNDARY ELEMENT METHOD;

EID: 0031169603     PISSN: 09659978     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0965-9978(96)00054-3     Document Type: Article

References (23)

1. Rencis, J. J. & Mullen, R. L., Solution of elasticity problems by a self-adaptive mesh refinement for boundary element computations. Int. J. Numer. Meth. Engng, 1986, 23, 1509-1527.
2. Rencis, J. J. & Jong, K. Y., A self-adaptive h-refinement technique for the boundary element method. Comput. Meth. Appl. Mech. Engng, 1989, 73, 195-216.
3. Rank, E., Adaptive h-, p- and hp-versions for boundary integral element methods. Int. J. Numer. Meth. Engng, 1989, 28, 1335-1349.
4. Sasaki, S. & Yokoyama, M. A self-adaptive mesh refinement technique for acquiring the desired accuracy in boundary element analyses. Trans. Jap. Soc. Mech. Engng, 1989, 55A (514), 1416-1422 (in Japanese).
5. Sasaki, S. & Yokoyama, M., A self-adaptive mesh refinement technique for acquiring the desired accuracy in three-dimensional boundary element analyses. Trans. Jap. Soc. Mech. Engng, 1990, 56A (527), 1709-1713 (in Japanese).
6. Kawaguchi, K. & Kamiya, N., An adaptive BEM by sample point error analysis. Trans. Jap. Soc. Mech. Engng, 1990, 56A (529), 2032-2039 (in Japanese).
7. Kawaguchi, K. & Kamiya, N., Adaptive boundary element for elastic analysis. Trans. Jap. Soc. Mech. Engng, 1990, 56A (532), 2501-2507 (in Japanese).
8. Yuuki, R., Cao, G. Q. & Ueda, S., Development of expert system for BEM analysis (2nd report). Trans. Jap. Soc. Mech. Engng, 1991, 57A (533), 202-208 (in Japanese).
9. Yuuki, R., Maekawa, K. & Cao, G. Q., Error estimation and adaptive mesh for BEM three-dimensional elastostatic analysis. Proc. Jap. National Symp. BEM, 1991, 8, 171-176 (in Japanese).
10. Charafi, A., Neves, A. C. & Wrobel, L. C., h-Hierarchical adaptive boundary element method using Local reanalysis. Int. J. Numer. Meth. Engng, 1995, 38, 2185-2207.
11. Guiggiani, M. & Lombardi, F., Self-adaptive boundary elements with h-hierarchical shape functions. Adv. Engng Software, 1992, 15, 269-277.
12. Alarcon, E. & Reverter, A., p-Adaptive boundary elements. Int. J. Numer. Meth. Engng, 1986, 23, 801-829.
13. Parreira, P. & Dong, Y. F., Adaptive hierarchical boundary elements. Adv. Engng Software, 1992, 15, 249-259.
14. Cerrolaza, M., The p-adaptive boundary integral equation method. Adv. Engng Software, 1992, 15, 261-267.
15. Parreira, P., Self-adaptive p-hierarchical boundary elements in elastostatics. In Boundary Elements IX, Vol. 1, ed. C. A. Brebbia. Comp. Mech. Publ., Southampton, 1987, pp. 351-373.
16. Cerrolaza, M., Gomez-Lera, M. S. & Alarcon, E., Elastostatics p-adaptive boundary elements for micros. Software Engng Workstations, 1988, 4, 18-24.
17. Yuuki, R. & Kisu, H., Elastic Analysis of Boundary Element Method. Baifuukan, Tokyo, 1987 (in Japanese).
18. Lachat, J. C. & Watson, J. O., Effective numerical treatment of boundary integral equation: a formulation for three dimensional elastostatics. Int. J. Numer. Meth. Engng., 1976, 10, 991-1005.
19. Howland, R. C. J., On the stress in the neighborhood of a circular hole in a strip under tension. Phil. Trans. R. Soc. Lond., 1930, 229A, 48.
20. Ling, C. B., On stress-concentration factor in a notched strip. J. Appl. Mech., 1968, 35, 833-835.
21. Nisitani, H., Noda, N., Fukasako, I. & Harada, S., Tension of a strip with symmetric 60° V-shaped or partially-circular notches. Trans. Jap. Soc. Mech. Engng, 1985, 51A 9467), 1804-1810 (in Japanese).
22. Hasegawa, H. & Tokoyoda, S., Tension of an elastic strip with two pairs of semicircular notches (interference effects of stress concentrations). Trans. Jap. Soc. Mech. Engng, 1985, 51A (467), 1796-1803 (in Japanese).
23. Hasegawa, H. & Kumamoto, K., Stress concentrations of an elastic strip with semicircular notches under tension (stress mitigations by additional notches). Trans. Jap. Soc. Mech. Engng, 1987, 53A (491), 1246-1251 (in Japanese).