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Volumn 20, Issue 2, 1997, Pages 113-121

Power iterative multiple reciprocity boundary element method for solving three-dimensional Helmholtz eigenvalue problems

Author keywords

3D Helmholtz equation; Boundary element method; Eigenvalue; Higher order fundamental solution; Multiple reciprocity method; Power iteration technique; Wielandt's algorithm

Indexed keywords

ALGORITHMS; EIGENVALUES AND EIGENFUNCTIONS; INTEGRAL EQUATIONS; ITERATIVE METHODS; MATHEMATICAL TRANSFORMATIONS;

EID: 0031222621     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0955-7997(97)00055-6     Document Type: Article
Times cited : (8)

References (12)
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    • (1992) Boundary Elements XIV , vol.2 , pp. 673-690
    • Kamiya, N.1    Andoh, E.2
  • 2
    • 0016873983 scopus 로고
    • Calculation of eigenvalues of the Helmholtz equation by an integral equation
    • DeMey, G. Calculation of eigenvalues of the Helmholtz equation by an integral equation. Int. J. Numer. Methods Eng., 1976, 10, 59-66.
    • (1976) Int. J. Numer. Methods Eng. , vol.10 , pp. 59-66
    • DeMey, G.1
  • 4
    • 0029194328 scopus 로고
    • Higher order three-dimensional fundamental solutions to the Helmholtz and the modified Helmholtz equations
    • Itagaki, M. Higher order three-dimensional fundamental solutions to the Helmholtz and the modified Helmholtz equations. Eng. Anal. Bound. Elem., 1995, 15, 289-293.
    • (1995) Eng. Anal. Bound. Elem. , vol.15 , pp. 289-293
    • Itagaki, M.1
  • 5
    • 0003225422 scopus 로고
    • Source iterative multiple reciprocity techniques for Helmholtz eigenvalue problems with boundary elements
    • ed. M. Tanaka, Q. Du & T. Honma, Elsevier
    • Itagaki, M. & Brebbia, C.A. Source iterative multiple reciprocity techniques for Helmholtz eigenvalue problems with boundary elements. In Proceedings of the 5th Japan-China Symposium on Boundary Element Methods, ed. M. Tanaka, Q. Du & T. Honma, Elsevier, 1993, pp. 79-88.
    • (1993) Proceedings of the 5th Japan-China Symposium on Boundary Element Methods , pp. 79-88
    • Itagaki, M.1    Brebbia, C.A.2
  • 6
    • 0043087148 scopus 로고
    • Application of the multiple reciprocity method to neutron diffusion problems
    • Computational Mechanics Publ., Chapter 6
    • Itagaki, M. & Brebbia, C.A. Application of the multiple reciprocity method to neutron diffusion problems. In The Multiple Reciprocity Boundary Element Method, Computational Mechanics Publ., 1994, Chapter 6, pp. 107-149.
    • (1994) The Multiple Reciprocity Boundary Element Method , pp. 107-149
    • Itagaki, M.1    Brebbia, C.A.2
  • 8
    • 0022101620 scopus 로고
    • Boundary element techniques applied to two-dimensional neutron diffusion problems
    • Itagaki, M. Boundary element techniques applied to two-dimensional neutron diffusion problems. J. Nucl. Sci. Technol., 1985, 22(6), 565-583.
    • (1985) J. Nucl. Sci. Technol. , vol.22 , Issue.6 , pp. 565-583
    • Itagaki, M.1
  • 10
    • 0027224751 scopus 로고
    • Generation of higher order fundamental solutions to the two-dimensional modified Helmholtz equations
    • Itagaki. M. and Brebbia, C.A. Generation of higher order fundamental solutions to the two-dimensional modified Helmholtz equations. Eng. Anal. Bound. Elem., 1993, 11, 87-89.
    • (1993) Eng. Anal. Bound. Elem. , vol.11 , pp. 87-89
    • Itagaki, M.1    Brebbia, C.A.2
  • 11
    • 0026976712 scopus 로고
    • Remedy for round-off error accumulation observed in a neutron diffusion calculation using the multiple reciprocity boundary element method
    • Itagaki, M. and Brebbia, C.A. Remedy for round-off error accumulation observed in a neutron diffusion calculation using the multiple reciprocity boundary element method. Eng. Anal. Bound. Elem., 1992, 10(4), 345-352.
    • (1992) Eng. Anal. Bound. Elem. , vol.10 , Issue.4 , pp. 345-352
    • Itagaki, M.1    Brebbia, C.A.2
  • 12
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    • Three-dimensional isoparametric boundary element method for solving neutron diffusion equations
    • Itagaki, M. and Sahashi, N. Three-dimensional isoparametric boundary element method for solving neutron diffusion equations. J. Nucl. Sci. Technol., 1996, 33(1), 7-16
    • (1996) J. Nucl. Sci. Technol. , vol.33 , Issue.1 , pp. 7-16
    • Itagaki, M.1    Sahashi, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.