Analytical derivations for one-dimensional eigenproblems using dual boundary element method and multiple reciprocity method

Engineering Analysis with Boundary Elements

Volumn 20, Issue 1, 1997, Pages 25-33

  Chen, J T ^a   Wong, F C ^a  

^a NATIONAL TAIWAN OCEAN UNIVERSITY   (Taiwan)

Author keywords

DBEM; Eigenproblems; MRM

Indexed keywords

BOUNDARY ELEMENT METHOD; INTEGRAL EQUATIONS; PROBLEM SOLVING;

DUAL BOUNDARY ELEMENT METHOD (DBEM); HYPERSINGULAR INTEGRAL EQUATIONS; MULTIPLE RECIPROCITY METHOD (MRM);

EIGENVALUES AND EIGENFUNCTIONS;

EID: 0031176257     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0955-7997(97)00032-5     Document Type: Article

References (13)

1. Hong, H.-K. & Chen, J. T. Derivation of integral equations in elasticity. J. Eng. Mech. Div. ASCE., 1988, 144, 1028-1044.
2. Chen, J.T. and Hong, H.-K., Boundary Element Method, 2nd Ed., New World Press, Taipei, Taiwan, 1992 (in Chinese).
3. Chen, J.T., On a dual integral representation and its applications to computational mechanics, Ph.D. Dissertation, Department of Civil Engineering, National Taiwan University, 1994.
4. Chen, J.T. & Hong, H.-K. Boundary element analysis and design in seepage flow problems with sheetpiles. Finite Elements in Analysis and Design, 1994, 17, 1-20.
5. Chen, J.T. & Hong, H.-K. On the dual integral representation of boundary value problem in Laplace equation. Boundary Element Abstracts, 1993, 3, 114-116.
6. Chen, J.T. & Hong, H.K. Dual boundary integral equations at a corner using contour approach around singularity. Advances in Engineering Softwares, 1994, 21, 169-178.
7. Chen, J.T., Liang, M.T. & Yang, S.S. Dual boundary integral equations for exterior problems. Engineering Analysis Boundary Elements, 1996, 16, 333-340.
8. Liang, J.T., Chen, J.T. and Yang, S.S., Error estimation for boundary element method, Computers and Structures, 1996, in press.
9. Kamiya, N., Ando, E. & Nogae, K. A new complex-valued formulation and eigenvalue analysis of the Helmholtz equation by boundary element method. Advances in Engineering Softwares, 1996, 26, 219-227.
10. Nowak, A.J. and Neves, A.C. eds., The Multiple Reciprocity Boundary Element Method, Comp. Publ., Southampton, 1994.
11. Nowak, A.J. & Brebbia, C.A. The multiple reciprocity method - a new approach for transforming BEM domain integrals to the boundary. Engineering Analysis with Boundary Elements, 1989, 6, 164-167.
12. Kamiya, N. & Andoh, E. A note on multiple reciprocity integral formulation for Helmholtz Equation. Communications in Numerical Methods in Engineering, 1993, 9, 9-13.
13. Yeih, W., Chen, J.T., Chen, K.H. & Wong, F.C., A study on the multiple reciprocity method and complex-valued formulation for the Helmoltz equation. Advances in Engineering Softwares, accepted for publication, 1997.