BOUNDARY KNOT METHOD SOLUTION OF HELMHOLTZ PROBLEMS WITH BOUNDARY SINGULARITIES

Authors

De-Jian Shen, College of Civil and Transportation Engineering, Hohai University, Nanjing, Jiangsu, P.R. China.
Ji Lin, College of Civil and Transportation Engineering, Hohai University, Nanjing, Jiangsu, P.R. China.
Wen Chen, College of Civil and Transportation Engineering, Hohai University, Nanjing, Jiangsu, P.R. China.Follow

Abstract

This paper proposes a boundary knot method (BKM) formulation in conjunction with the singularity subtraction technique to solve Helmholtz problems with boundary singularities. The solution breaks down into the singular solution and the regular solution. The singular solution is derived analytically and satisfies the governing equation and the corresponding boundary conditions containing singularities. Then the regular solution is approximated by the BKM. Numerical results demonstrate the accuracy and efficiency of the proposed technique.

Recommended Citation

Shen, De-Jian; Lin, Ji; and Chen, Wen (2014) "BOUNDARY KNOT METHOD SOLUTION OF HELMHOLTZ PROBLEMS WITH BOUNDARY SINGULARITIES," Journal of Marine Science and Technology: Vol. 22: Iss. 4, Article 5.
DOI: 10.6119/JMST-013-0521-3
Available at: https://jmstt.ntou.edu.tw/journal/vol22/iss4/5