Fast multipole boundary element analysis of corrosion problems

CMES - Computer Modeling in Engineering and Sciences

Volumn 6, Issue 2, 2004, Pages 123-131

  Aoki, S ^a   Amaya, K ^b   Urago, M ^b   Nakayama, A ^b  

^a TOYO UNIVERSITY   (Japan)

^b TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Corrosion analysis; Fast multipole boundary element method (FMBEM); Infinite domain problem; Large scale computation; Non linearity; Pipe element

Indexed keywords

CORROSION ANALYSIS; FAST MULTIPOLE BOUNDARY ELEMENT METHOD (FMBEM); INFINITE DOMAIN PROBLEMS; LARGE SCALE COMPUTATION; PIPE ELEMENT;

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY ELEMENT METHOD; ITERATIVE METHODS; PROBLEM SOLVING; VECTORS;

CORROSION;

EID: 4344567987     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. Adey, R. A.; Brebbia, C. A.; Niku, S. M. (1990): Application of Boundary Elements In Corrosion Engineering, In:C.A.Brebbia (ed.) Topics in Boundary Element Research VII, Springer-Verlag,Berlin, pp.34-64.
2. Aimi, A.; Diligenti, M.; Lunardini, F.; Salvadori, A. (2003): A New Application of the Panel Clustering Method for 3D SGBEM, CMES: Computer Modeling in Engineering and Science, Vol.4, No.1, pp.31-49.
3. Aoki, S.; Amaya, K.; Miyasaka, M. (1999): Boundary Element Analysis of Cathodic Protection for Complicated Structures, In: M.E.Orazem (ed.) Proc. of Corrosion 99,(NACE,1999), pp.45-65.
4. Brebbia, C. A. (1978):The boundary element method for engineering, Pentech Press, London, pp.1-178.
5. Brichau, F.; Deconinck, J. (1994) A Numerical Model for Cathodic Protection of Buried Pipes, Corrosion, Vol.50, No.1, pp.39-46.
6. DeGiorgi, V. G.; Thomas II, E. D.; Lucas, K. E; Kee, A. (1996): A combined design methodology for impressed current cathodic protection system, In: R.C.Ertekin, C.A.Brebbia, M.Tanaka and R.Shaw(ed.) Proc. of Boundary Element Technology XI,Computational Mechanics Publications. Southampton, England, pp.335-344.
7. Fujino, K.; Chou, S. (1996): Iterative Method, Asakura,pp.1-140(in Japanese).
8. Fukui, T.; Hattori, J. (1998): On Numerical Evaluation of Multipole Boundary Elements in Three Dimensional Potential Problems, Procings of 8th BEM Technology Conference, JASCOME, Tokyo, pp.43-48(in Japanese).
9. Greengard, L. F.; Rokhlin, V. (1987): A Fast Algorithm for Particle Simulations, Journal of Computational Physics, Vol.73, pp.325-348.
10. Greengard, L. F. (1988):The Rapid Evaluation of Potential Fields in Particle Systems, MIT press, Cambridge, pp.1-91.
11. Han, Z. D.; Atluri, S. N. (2003): On Simple Formulations of Weakly-Singular Traction and Displacement BIE, and Their Solutions through Petrov-Galerkin Approaches, CMES: Computer Modeling in Engineering and Science, Vol.4, No.1, pp.5-20.
12. Hayami, K.; Sauter, S. A. (1997): Application of the panel clustering method to the three-dimmensional elastostatic problem, In: C.A.Brebbia and M.H.Aliabadi (ed) Boundary Elements XIX, Computational Mechanics Publications,Southampton, England, pp.625-634.
13. Nishimura, N.; Yoshida, K.; Kobayashi, S. (1999): A Fast Multipole Boundary Integral Equation Method for Crack Problems in 3D, Engineering Analysis with Boundary Elements, Vol.23, pp.97-105.
14. Orazem, M. E.; Esteban, J. M.; Kennelley, K. J.; Degerstedt, R. M. (1997): Mathematical Models for Cathodic Protection of an Underground Pipeline with Coating Holidays: Part 1 - Theoretical Development, In: Corrosion, Vol.53, No.4, pp.264-272.
15. Rokhlin, V. (1987): Rapid Solution of Integral Equations of Classical Potential Theory, Journal of Computational Physics, Vol.60, pp. 187-207.
16. Takahashi, T.; Nishimura, N.; Kobayashi, S. (2001): Fast Boundary Integral Method for Elastodynamic problems in 2D in Time Domain, Transactions of Japan Soc. Mech. Eng., Vol.67A, No.661, pp.1409-1416 (in Japanese).
17. Urago, M.(2000):Analytical Integrals of Fundamental Solution of Three-Dimensional Laplace Equation and Their Gradients, Transaction of Japan Soc. Mech.Eng., Vol.66A, No.642, pp.254-261 (in Japanese).
18. Van der Vorst, H. A. (1992): Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems, SIAM J. Sci. Stat. Comput., Vol. 13, pp.631-644.