A new h-adaptive refinement scheme for the boundary element method using local reanalysis

Applied Mathematics and Computation

Volumn 82, Issue 2-3, 1997, Pages 239-271

  Charafi, A ^a   Wrobel, L C ^b  

^a UNIVERSITY OF PORTSMOUTH   (United Kingdom)

^b BRUNEL UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002574683     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(96)00028-8     Document Type: Article

References (20)

1. E. Rank, A posteriori error estimates and adaptive refinement for some boundary integral element methods, in Proc. Int. Conf. on Accuracy Estimates and Adaptive Refinements in Finite Elements Computations, Lisbon, 1984.
2. W. L. Wendland and De-hao Yu, Adaptive boundary element methods for strongly elliptic integral equations, Num. Math. 53:539-558 (1988).
3. E. Rank, Adaptivity and accuracy estimation for finite element and boundary integral element methods, in Accuracy Estimates and Adaptive Refinements in Finite Element Computations, John Wiley & Sons, pp. 79-94, 1986.
4. C. Katz, Self-adaptive boundary elements for the shear stress in beams, in Proc. 2nd BEM Conf., Computational Mechanics Publications, 1986, pp. 759-769.
5. J. J. Rencis and R. L. Mullen, Solution of elasticity problems by a self-adaptive mesh refinement technique for boundary element computation, Int. J. Num. Meth. Eng. 23:1509-1527 (1986).
6. J. J. Rencis and R. L. Mullen, A self-adaptive mesh refinement technique for boundary element solution of the Laplace equation, Comp. Mech. 3:309-319 (1988).
7. J. J. Rencis and K. Y. Jong, A self adaptive h-refinement technique for the boundary element method, Comp. Meth. Appl. Mech. Eng. 73:295-316 (1989).
8. J. J. Rencis and K. Y. Jong, An accuracy post-processor for boundary element analysis, in Proc. 10th BEM Conf., Computational Mechanics Publications, 1988, Vol. 1, pp. 187-203.
9. O. C. Zienkiewicz and J. Z. Zhu, A simple error estimator and adaptive procedure for practical engineering analysis, Int. J. Num. Meth. Eng. 24:337-357 (1987).
10. M. Guiggiani, Non-residual type accuracy estimates and adaptive refinement in boundary element analysis, in Boundary Element Techniques: Applications in Engineering, Proc. 4th BETECH Conf., Computational Mechanics Publications, 1989, pp. 323-340.
11. M. Guiggiani, Error indicators for adaptive mesh refinement in the boundary element method: A new approach, Int. J. Num. Meth. Eng. 29:1247-1269 (1990).
12. N. Kamiya and K. Kawaguchi, An attempt of boundary elements, in Proc. 12th Int. BEM Conf., Computational Mechanics Publications and Springer-Verlag 2:527-538 (1990).
13. N. Kamiya and K. Kawaguchi, Error analysis and adaptive refinement of boundary elements, in Reliability and Robustness of Engineering Software II, C. A. Brebbia and A. J. Ferrante (eds.), Computational Mechanics Publications and Elsevier Applied Science, 1991, pp. 187-201.
14. K. Abe, h-Adaptive boundary element method and evaluation of error, in Proc. IABEM Symposium, Springer-Verlag, 1993, pp. 1-10.
15. K. Abe, A new residue and nodal error evaluation in h-adaptive boundary element, Adv. Eng. Soft. 15:231-247 (1992).
16. M. Casale, The Integration of Geometric Modeling and Structural Analysis using Trimmed Patches. Ph.D. Thesis, University of California, Irvine, 1989.
17. A. Charafi, L. C. Wrobel, and R. Adey, An approach to h-adaptive boundary element methods using local reanalysis, in Proc. 7th BETECH Conf., Computational Mechanics Publications and Elsevier Applied Science, 1992, pp. 905-918.
18. E. Marques, Coupling of the Finite Element and the Boundary Element Method: An Application to Potential Problems. M.Sc. Thesis, COPPE/UFRJ, Rio de Janeiro, 1986. (in Portuguese).
19. J. C. F. Telles, A self-adaptive coordinate transformation for efficient numerical evaluation of general boundary element integrals, Int. J. Num. Meth. Eng. 24:959-973 (1987).
20. L. C. Wrobel, Potential problems, in Topics in Boundary Element Research, Vol. 3: Computational Aspects, Chapter 8, Springer-Verlag, Berlin, 1987.