Null-field integral equations and their applications

WIT Transactions on Modelling and Simulation

Volumn 44, Issue , 2007, Pages 89-97

  Chen, J T ^a   Chen, P Y ^a  

^a NATIONAL TAIWAN OCEAN UNIVERSITY   (Taiwan)

Author keywords

Degenerate kernel; Fourier series; Null field integral equation

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; FOURIER SERIES;

BENDING PROBLEMS; DEGENERATE KERNEL; NULL-FIELD INTEGRAL EQUATION; TORSION PROBLEMS;

INTEGRAL EQUATIONS;

EID: 38849177511     PISSN: 1743355X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2495/BE070091     Document Type: Conference Paper

References (15)

1. Lebedev, N.N., Skalskaya, I.P. & Uflyand, Y.S., Worked problem in applied mathematics. Dover Publications: New York, 1979.
2. Waterman, P.C., Matrix formulation of electromagnetic scattering. Proc. IEEE, 53, pp. 805-812, 1965.
3. Doicu, A. & Wriedt, T., Extended boundary condition method with multiple sources located in the complex plane. Optics Communications, 139, pp. 85-91, 1997.
4. Chen, J.T., Shen, W.C. & Wu, A.C., Null-field integral equations for stress field around circular holes under anti-plane shear. Engineering Analysis with Boundary Elements, 30, pp. 205-217, 2005.
5. Chen, J.T., Hsiao, C.C. & Leu, S.Y., Null-field integral equation approach for plate problems with circular holes. ASME Journal of Applied Mechanics, 73, pp. 679-693, 2006.
6. Chen, J.T., Shen, W.C. and Chen, P.Y., Analysis of circular torsion bar with circular holes using null-field approach. Computer Modelling in Engineering Science, 12, pp. 109-119, 2006.
7. Chen, J.T. & Wu, A.C., Null-field approach for multi-inclusion problem under anti-plane shears. ASME Journal of Applied Mechanics, Accepted, 2007.
8. Chen, J.T. & Wu, A.C., Null-field approach for piezoelectricity problems with arbitrary circular inclusions. Engineering Analysis with Boundary Elements, Accepted, 2006.
9. Chen, J.T., Null filed integral equation approach for boundary vale problems with circular boundaries, Keynote lecture of ICCES 2005, India, 2005.
10. Ling, C.B., Torsion of a circular tube with longitudinal circular holes. Quarterly of Applied Mathematics, 5, pp. 168-181, 1947.
11. Caulk, D.A., Analysis of elastic torsion in a bar with circular holes by a special boundary integral method. ASME Journal of Applied Mechanics, 50, pp. 101-108, 1983.
12. Naghdi, A.K., Bending of a perforated circular cylindrical cantilever. International Journal of Solids and Structures, 28, pp. 739-749, 1991.
13. Bird, M.D. & Steele, C.R., A solution procedure for Laplace's equation on multiply connected circular domains. ASME Journal of Applied Mechanics, 59, pp. 398-404, 1992.
14. Tsaur, D.H., Chang, K.H. & Lin, J.G., Response of multiple semi-circular cylindrical vanyons subject to plane SH-waves, Asia Pacific Review of Engineering Science and Technology, 2(2), pp. 251-266, 2004. (in Chinese)
15. Fang, Y.G., Scattering of plane SH-waves by multiple circular-arc valleys at the two-dimensional surface of the earth. Earthquake Engineering and Engineering Vibration, 15(1), pp. 85-91, 1995. (in Chinese)