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Volumn 55, Issue 6, 2008, Pages 1189-1200

The method of fundamental solutions and condition number analysis for inverse problems of Laplace equation

Author keywords

Cauchy problems; Condition number analysis; Ill posed problems; Inverse problems; Laplace equation; Method of fundamental solutions; Perturbed boundary data

Indexed keywords

BOUNDARY CONDITIONS; DATA STRUCTURES; INVERSE PROBLEMS; NUMERICAL METHODS; PERTURBATION TECHNIQUES;

EID: 38849085183     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2007.05.015     Document Type: Article
Times cited : (63)

References (20)
  • 2
    • 38849113468 scopus 로고    scopus 로고
    • Spectral and wavelet methods for solving an inverse heat conduction problem
    • Tanaka M., and Dulikravich G.S. (Eds), Amsterdam Press
    • Elden L., and Berntsson F. Spectral and wavelet methods for solving an inverse heat conduction problem. In: Tanaka M., and Dulikravich G.S. (Eds). Inverse Problem in Engineering Mechanics (1998), Amsterdam Press 3-10
    • (1998) Inverse Problem in Engineering Mechanics , pp. 3-10
    • Elden, L.1    Berntsson, F.2
  • 3
    • 38849194896 scopus 로고    scopus 로고
    • Identification of phase change interface using imaginary heat sources
    • Tanaka M., and Dulikravich G.S. (Eds), Amsterdam Press
    • Momose K., and Komoto H. Identification of phase change interface using imaginary heat sources. In: Tanaka M., and Dulikravich G.S. (Eds). Inverse Problem in Engineering Mechanics (1998), Amsterdam Press 17-26
    • (1998) Inverse Problem in Engineering Mechanics , pp. 17-26
    • Momose, K.1    Komoto, H.2
  • 4
    • 0031219785 scopus 로고    scopus 로고
    • An iterative boundary element method for solving numerically the Cauchy problem for the Laplace equation
    • Lesnic D., Elliott L., and Ingham D.B. An iterative boundary element method for solving numerically the Cauchy problem for the Laplace equation. Engineering Analysis with Boundary Elements 20 (1997) 129-133
    • (1997) Engineering Analysis with Boundary Elements , vol.20 , pp. 129-133
    • Lesnic, D.1    Elliott, L.2    Ingham, D.B.3
  • 8
    • 38849083534 scopus 로고    scopus 로고
    • Fast inverse method for crack identification in eddy current testing
    • Tanaka M., and Dulikravich G.S. (Eds), Amsterdam Press
    • Fukutomi H., Takgi T., Huang H., and Tani J. Fast inverse method for crack identification in eddy current testing. In: Tanaka M., and Dulikravich G.S. (Eds). Inverse Problem in Engineering Mechanics (1998), Amsterdam Press 101-108
    • (1998) Inverse Problem in Engineering Mechanics , pp. 101-108
    • Fukutomi, H.1    Takgi, T.2    Huang, H.3    Tani, J.4
  • 9
    • 33748444430 scopus 로고
    • The method of functional equations for the approximate solution of certain boundary value problem
    • Kupradze V.D., and Aleksidze M.A. The method of functional equations for the approximate solution of certain boundary value problem. Computational Mathematics and Mathematical Physics 4 (1964) 633-725
    • (1964) Computational Mathematics and Mathematical Physics , vol.4 , pp. 633-725
    • Kupradze, V.D.1    Aleksidze, M.A.2
  • 10
  • 11
    • 0022107918 scopus 로고
    • Fundamental solutions method for elliptic boundary value problems
    • Bogomolny A. Fundamental solutions method for elliptic boundary value problems. SIAM Journal on Numerical Analysis 22 (1985) 644-669
    • (1985) SIAM Journal on Numerical Analysis , vol.22 , pp. 644-669
    • Bogomolny, A.1
  • 12
    • 15544379149 scopus 로고    scopus 로고
    • Method of fundamental solutions for scattering problems of electromagnetic waves
    • Young D.L., and Ruan J.W. Method of fundamental solutions for scattering problems of electromagnetic waves. Computer Modeling in Engineering and Sciences 7 (2005) 223-232
    • (2005) Computer Modeling in Engineering and Sciences , vol.7 , pp. 223-232
    • Young, D.L.1    Ruan, J.W.2
  • 14
    • 2342463081 scopus 로고    scopus 로고
    • The method of fundamental solutions for the Cauchy problem in two-dimensional linear elasticity
    • Marin L., and Lesnic D. The method of fundamental solutions for the Cauchy problem in two-dimensional linear elasticity. International Journal of Solids and Structures 41 (2004) 3425-3438
    • (2004) International Journal of Solids and Structures , vol.41 , pp. 3425-3438
    • Marin, L.1    Lesnic, D.2
  • 15
    • 17644417110 scopus 로고    scopus 로고
    • A meshless method for the numerical solution of the Cauchy problem associated with three-dimensional Helmholtz-type equations
    • Marin L. A meshless method for the numerical solution of the Cauchy problem associated with three-dimensional Helmholtz-type equations. Applied Mathematics and Computation 165 (2005) 355-374
    • (2005) Applied Mathematics and Computation , vol.165 , pp. 355-374
    • Marin, L.1
  • 19
    • 0342955473 scopus 로고    scopus 로고
    • A numerical computation for inverse boundary determination problem
    • Hon Y.C., and Wu Z. A numerical computation for inverse boundary determination problem. Engineering Analysis with Boundary Elements 24 (2000) 599-606
    • (2000) Engineering Analysis with Boundary Elements , vol.24 , pp. 599-606
    • Hon, Y.C.1    Wu, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.