메뉴 건너뛰기




Volumn 27, Issue 4, 2006, Pages 1493-1512

The method of fundamental solutions for stationary heat conduction problems in rotationally symmetric domains

Author keywords

Axisymmetric domains; Heat conduction in layered materials; Laplace equation; Method of fundamental solutions

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; FAST FOURIER TRANSFORMS; MATRIX ALGEBRA; NUMERICAL ANALYSIS; ROTATION;

EID: 33746074089     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/040615213     Document Type: Article
Times cited : (7)

References (25)
  • 1
    • 0033588427 scopus 로고    scopus 로고
    • The method of fundamental solutions for heat conduction in layered materials
    • J. R. BERGER AND A. KARAGEORGHIS, The method of fundamental solutions for heat conduction in layered materials, Internat. J. Numer. Methods Engrg., 45 (1999), pp. 1681-1694.
    • (1999) Internat. J. Numer. Methods Engrg. , vol.45 , pp. 1681-1694
    • Berger, J.R.1    Karageorghis, A.2
  • 2
    • 0035546639 scopus 로고    scopus 로고
    • The method of fundamental solutions for layered elastic materials
    • J. R. BERGER AND A. KARAGEORGHIS, The method of fundamental solutions for layered elastic materials, Engrg. Anal. Boundary Elem., 25 (2001), pp. 877-886.
    • (2001) Engrg. Anal. Boundary Elem. , vol.25 , pp. 877-886
    • Berger, J.R.1    Karageorghis, A.2
  • 3
    • 57249083923 scopus 로고    scopus 로고
    • Boundary element analysis for the Helmholtz eigenvalue problems with a multiply connected domain
    • J. T. CHEN, J. H. LIN, S. R. Kuo, AND S. W. CHYUAN, Boundary element analysis for the Helmholtz eigenvalue problems with a multiply connected domain, R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci., 457 (2001), pp. 2521-2546.
    • (2001) R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. , vol.457 , pp. 2521-2546
    • Chen, J.T.1    Lin, J.H.2    Kuo, S.R.3    Chyuan, S.W.4
  • 4
    • 9944235265 scopus 로고    scopus 로고
    • Trefftz methods for time dependent partial differential equations
    • H. A. CHO, M. A. GOLBERG, A. S. MULESHKOV, AND X. Li, Trefftz methods for time dependent partial differential equations, Comput. Mat. Cont, 1 (2004), pp. 1-37.
    • (2004) Comput. Mat. Cont , vol.1 , pp. 1-37
    • Cho, H.A.1    Golberg, M.A.2    Muleshkov, A.S.3    Li, X.4
  • 5
    • 0004175163 scopus 로고
    • John Wiley & Sons, New York, Chichester, Brisbane
    • P. J. DAVIS, Circulant Matrices, John Wiley & Sons, New York, Chichester, Brisbane, 1979.
    • (1979) Circulant Matrices
    • Davis, P.J.1
  • 6
    • 0032344733 scopus 로고    scopus 로고
    • The method of fundamental solutions for elliptic boundary value problems. Numerical treatment of boundary integral equations
    • G. FAIRWEATHER AND A. KARAGEORGHIS, The method of fundamental solutions for elliptic boundary value problems. Numerical treatment of boundary integral equations, Adv. Comput. Math., 9 (1998), pp. 69-95.
    • (1998) Adv. Comput. Math. , vol.9 , pp. 69-95
    • Fairweather, G.1    Karageorghis, A.2
  • 7
    • 0041621774 scopus 로고    scopus 로고
    • The method of fundamental solutions for scattering and radiation problems
    • G. FAIRWEATHER, A. KARAGEORGHIS, AND P. A. MARTIN, The method of fundamental solutions for scattering and radiation problems, Engrg. Anal. Boundary Elem., 27 (2003), pp. 759-769.
    • (2003) Engrg. Anal. Boundary Elem. , vol.27 , pp. 759-769
    • Fairweather, G.1    Karageorghis, A.2    Martin, P.A.3
  • 8
    • 16244362691 scopus 로고    scopus 로고
    • A matrix decomposition MFS algorithm for axisymmetric biharmonic problems
    • G. FAIRWEATHEK. A. KARAGEOGCHIS, AND Y.-S. SMYRIS, A matrix decomposition MFS algorithm for axisymmetric biharmonic problems, Adv. Comput. Math., 23 (2005), pp. 55-71.
    • (2005) Adv. Comput. Math. , vol.23 , pp. 55-71
    • Fairweathek, G.1    Karageogchis, A.2    Smyris, Y.-S.3
  • 9
    • 0035736355 scopus 로고    scopus 로고
    • A force, superposition approach to plane elastic stress and strain analysis
    • H. T. FKNNER. A force, superposition approach to plane elastic stress and strain analysis. J. Strain Anal.,.36 (2001), pp. 517-529.
    • (2001) J. Strain Anal. , vol.36 , pp. 517-529
    • Fknner, H.T.1
  • 11
    • 0000776101 scopus 로고    scopus 로고
    • The method of fundamental solutions for potential, Helmholtz and diffusion problems
    • Boundary Integral Methods: Numerical and Mathematical Aspects, WIT Press/Computational Mechanics Publications, Boston, MA
    • M. A. GOLBERG AND C. S. CHEN, The method of fundamental solutions for potential, Helmholtz and diffusion problems, in Boundary Integral Methods: Numerical and Mathematical Aspects, Comput. Eng. 1, WIT Press/Computational Mechanics Publications, Boston, MA, 1999, pp. 103- 176.
    • (1999) Comput. Eng. , vol.1 , pp. 103-176
    • Golberg, M.A.1    Chen, C.S.2
  • 12
    • 0001351728 scopus 로고
    • Fast Fourier methods in computational complex analysis
    • P. HENRICI, Fast Fourier methods in computational complex analysis, SIAM Rev., 21 (1979), pp. 481-527.
    • (1979) SIAM Rev. , vol.21 , pp. 481-527
    • Henrici, P.1
  • 13
    • 0005144738 scopus 로고
    • A mathematical study of the charge simulation method. II
    • M. KATSURADA, A mathematical study of the charge simulation method. II, J. Fac. Sci. Univ. Tokyo Sect. IA Math., 36 (1989), pp. 135-162.
    • (1989) J. Fac. Sci. Univ. Tokyo Sect. IA Math. , vol.36 , pp. 135-162
    • Katsurada, M.1
  • 15
    • 0034229431 scopus 로고    scopus 로고
    • Analytical study and numerical experiments for true and spurious eigensolutions of a circular cavity using the real-part dual BEM
    • S. R. Kuo, J. T. CHEN, AND C. X. HUANG, Analytical study and numerical experiments for true and spurious eigensolutions of a circular cavity using the real-part dual BEM, Internat. J, Numer. Methods Engrg., 48 (2000), pp. 1401-1422.
    • (2000) Internat. J, Numer. Methods Engrg. , vol.48 , pp. 1401-1422
    • Kuo, S.R.1    Chen, J.T.2    Huang, C.X.3
  • 16
    • 0002257454 scopus 로고
    • The fast Fourier transform and the numerical solution of one-dimensional boundary integral equations
    • U. LAMP, K.-T. SCHLEICHER, AND W. L. WENDLAND, The fast Fourier transform and the numerical solution of one-dimensional boundary integral equations, Numer. Math., 47 (1985), pp. 15-38.
    • (1985) Numer. Math. , vol.47 , pp. 15-38
    • Lamp, U.1    Schleicher, K.-T.2    Wendland, W.L.3
  • 20
    • 0041950033 scopus 로고    scopus 로고
    • Some aspects of the method of fundamental solutions for certain harmonic problems
    • Y.-S. SMYRLIS AND A. KARAGEORGHIS, Some aspects of the method of fundamental solutions for certain harmonic problems, J. Sci. Comput., 16 (2001), pp. 341-371.
    • (2001) J. Sci. Comput. , vol.16 , pp. 341-371
    • Smyrlis, Y.-S.1    Karageorghis, A.2
  • 21
    • 8344281356 scopus 로고    scopus 로고
    • Some aspects of the method of fundamental solutions for certain biharmonic problems
    • Y.-S. SMYRLIS AND A. KARAGEORGHIS, Some aspects of the method of fundamental solutions for certain biharmonic problems, CMES Comput. Model. Eng. Sci., 4 (2003), pp. 535-550.
    • (2003) CMES Comput. Model. Eng. Sci. , vol.4 , pp. 535-550
    • Smyrlis, Y.-S.1    Karageorghis, A.2
  • 22
    • 1842832046 scopus 로고    scopus 로고
    • A matrix decomposition MFS algorithm for axisymmetric potential problems
    • Y.-S. SMYRLIS AND A. KARAGEORGHIS, A matrix decomposition MFS algorithm for axisymmetric potential problems, Engrg. Anal. Boundary Elem., 28 (2004), pp. 463-474.
    • (2004) Engrg. Anal. Boundary Elem. , vol.28 , pp. 463-474
    • Smyrlis, Y.-S.1    Karageorghis, A.2
  • 23
    • 3142703789 scopus 로고    scopus 로고
    • Numerical analysis of the MFS for certain harmonic problems
    • Y.-S. SMYR.LIS AND A. KARAGEORGHIS, Numerical analysis of the MFS for certain harmonic problems, M2AN Math. Model. Numer. Anal., 28 (2004), pp. 495-517.
    • (2004) M2AN Math. Model. Numer. Anal. , vol.28 , pp. 495-517
    • Smyrlis, Y.-S.1    Karageorghis, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.