Novel regularized boundary integral equations for potential plane problems

Applied Mathematics and Mechanics (English Edition)

Volumn 27, Issue 9, 2006, Pages 1165-1170

  Zhang, Yao Ming ^a   Lu, He Xiang ^b   Wang, Li Min ^a  

^a SHANDONG UNIVERSITY OF TECHNOLOGY   (China)

^b DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Boundary integral equations (BIEs); Indirect BIEs; Potential plane problems; Regularization of BIEs

Indexed keywords

BOUNDARY CONDITIONS; NUMERICAL METHODS; TEMPERATURE DISTRIBUTION; THEOREM PROVING;

BIES REGULARIZATION; BOUNDARY INTEGRAL EQUATIONS (BIES); CAUCHY PRINCIPAL VALUE (CPV); HADAMARD FINITE PART (HFP); INDIRECT BIES; POTENTIAL PLANE PROBLEMS;

INTEGRAL EQUATIONS;

EID: 33751113682     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10483-006-0902-1     Document Type: Article

References (10)

1. Brebbia C A, Tells J C F, Wrobel L C. Boundary Elements Techniques Theory and Application in Engineering[M]. Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1984.
2. Sun Huanchun. Nonsingular Boundary Element Methods[M]. Dalian University of Technology Press, Dalian, 1999 (in Chinese).
3. Zhang Yaoming, Sun Huanchun. Analytical treatment of boundary integrals in direct boundary element analysis of plane potential and elasticity problems[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(6): 664-673.
4. Wang John, Tsay Ting-Kuei. Analytical evaluation and application of the singularities in boundary element method[J]. Engrg Anal Boundary Elements, 2005, 29(3): 241-256.
5. Lifeng M A, Alexander M Korsunsky. A note on the Gauss-Jacobi quadrature formulae for singular integral equations of the second kind[J]. International Journal of Fracture, 2004, 126(4): 339-405.
6. Davydov A G, Zakharov E V. Some computational aspects of the hypersingular integral equation method in electrodynamics[J]. Computational Mechanics, 2004, 15(2): 105-109.
7. Liu Y J. On the simple-solution method and non-singular nature of the BIE/BEM-a review and some new results[J]. Engrg Anal Boundary Elements, 2000, 24(10): 789-795.
8. Jorge A B, Ribeiro G O, Cruse T A. Self-regularized boundary integral equation formulations for Laplace's equation in 2-D[J]. Internat J Numer Meth Engrg, 2001, 51(1): 1-29.
9. Krutitskii P A. Hypersingular integral equations not needed in the impedance problem in scattering theory[J]. Computers and Mathematics with Applications, 2003, 45(1/3): 391-399.
10. Zhang Yaoming, Wen Weidong, Wang Limin, et al. A kind of new nonsingular boundary integral equations for elastic plane problems[J]. Acta Mech, 2004, 36(3): 311-321 (in Chinese).