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Volumn 9, Issue 2, 2001, Pages 113-121

On the modified tikhonov's regularization method for the cauchy problem of the laplace equation

Author keywords

Cauchy problem; L curve; Modified Tikhonov's regularization method; Singular value decomposition; Tikhonov's regularization method

Indexed keywords

BOUNDARY ELEMENT METHOD; CONSTRAINT THEORY; INTEGRAL EQUATIONS; INVERSE PROBLEMS; MATRIX ALGEBRA; OPTIMIZATION; PROBLEM SOLVING; SENSITIVITY ANALYSIS;

EID: 0242516794     PISSN: 10232796     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (29)

References (14)
  • 1
    • 0023994993 scopus 로고
    • Inverse problems related to the mechanics and fracture of solid structure
    • Kubo, S., "Inverse Problems Related to the Mechanics and Fracture of Solid Structure," JSME International Journal, Vol. 31, pp. 157-166 (1988).
    • (1988) JSME International Journal , vol.31 , pp. 157-166
    • Kubo, S.1
  • 2
    • 0002500486 scopus 로고
    • Sur Les Problems anx Derivees Partielle et Leur Signification Physique
    • Hadamard, J., "Sur Les Problems anx Derivees Partielle et Leur Signification Physique," Bull University Princeton, Vol. 13 (1902).
    • (1902) Bull University Princeton , vol.13
    • Hadamard, J.1
  • 3
    • 0027663474 scopus 로고
    • An inverse problem in elasticity with partially overprescribed boundary conditions, Part I: Theoretical approach
    • Yeih, W, Koya, T. and Mura, T., "An Inverse Problem in Elasticity with Partially Overprescribed Boundary Conditions, Part I: Theoretical Approach," Transaction of ASME, J. Appl. Mech., Vol. 60, pp. 595-600 (1993).
    • (1993) Transaction of ASME, J. Appl. Mech. , vol.60 , pp. 595-600
    • Yeih, W.1    Koya, T.2    Mura, T.3
  • 4
    • 84990557216 scopus 로고
    • Determining conductivity by boundary measurements II. interior results
    • Kohn, R. V. and Vogelius, M., "Determining Conductivity by Boundary Measurements II. Interior Results," Communications on Pure and Applied Mathematics, Vol. 38, pp. 643-667 (1985).
    • (1985) Communications on Pure and Applied Mathematics , vol.38 , pp. 643-667
    • Kohn, R.V.1    Vogelius, M.2
  • 5
    • 7044224002 scopus 로고
    • Ph. D. dissertation, Northwestern University, Evanston, Illinois, USA
    • Yeih, W., "An Inverse Problem in Elasticity," Ph. D. dissertation, Northwestern University, Evanston, Illinois, USA (1991).
    • (1991) An Inverse Problem in Elasticity
    • Yeih, W.1
  • 6
    • 0024734140 scopus 로고
    • Inversion of residual stresses from surface displacement
    • Gao, Z. and Mura, T., "Inversion of Residual Stresses from Surface Displacement," Transaction of ASME, J. Appl. Mech., Vol. 54, No. 3, pp. 508-513 (1989).
    • (1989) Transaction of ASME, J. Appl. Mech. , vol.54 , Issue.3 , pp. 508-513
    • Gao, Z.1    Mura, T.2
  • 7
    • 0027659551 scopus 로고
    • An inverse problem in elasticity with partially overprescribed boundary conditions, Part II: Numerical details
    • Koya, T., Yeih, W. and Mura, T., "An Inverse Problem in Elasticity with Partially Overprescribed Boundary Conditions, Part II: Numerical Details," Transaction of ASME, J. Appl. Mech., Vol. 60, pp. 601-606 (1993).
    • (1993) Transaction of ASME, J. Appl. Mech. , vol.60 , pp. 601-606
    • Koya, T.1    Yeih, W.2    Mura, T.3
  • 8
    • 0040237910 scopus 로고
    • The cauchy problem for the laplace equation in an infinite strip
    • Ivanov, V. K., "The Cauchy Problem for the Laplace Equation in an Infinite Strip," Differntsial'nye Uravneniya, Vol. 1 No. 1, pp. 131-136 (1965).
    • (1965) Differntsial'nye Uravneniya , vol.1 , Issue.1 , pp. 131-136
    • Ivanov, V.K.1
  • 9
    • 0000043665 scopus 로고
    • Solution of incorrectly formulated problems and regularization method
    • Tikhonov, A. N., "Solution of Incorrectly Formulated Problems and Regularization Method," Doklady Akad. Nauk SSSR, Vol. 151, No. 3, pp. 501-504 (1963).
    • (1963) Doklady Akad. Nauk SSSR , vol.151 , Issue.3 , pp. 501-504
    • Tikhonov, A.N.1
  • 11
    • 0000570697 scopus 로고
    • Analysis of discrete Ill-posed problem by means of the L-curve
    • Hansen, P.C., "Analysis of Discrete Ill-posed Problem by Means of the L-curve, SIAM, Vol. 34, No. 4, pp. 561 580 (1992).
    • (1992) SIAM , vol.34 , Issue.4 , pp. 561-580
    • Hansen, P.C.1
  • 12
    • 0001612717 scopus 로고
    • On the dual integral representation of boundary value problem in laplace equation
    • Chen, J. T. and Hong, H.-K., "On the Dual Integral Representation of Boundary Value Problem in Laplace Equation," Boundary Elements Abstracts, Vol. 3, pp. 114-116 (1993).
    • (1993) Boundary Elements Abstracts , vol.3 , pp. 114-116
    • Chen, J.T.1    Hong, H.-K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.