메뉴 건너뛰기




Volumn 26, Issue 5, 2010, Pages 597-608

A computational method for identifying a spacewise-dependent heat source

Author keywords

Finite difference method; Generalized crossvalidation; Heat source; Truncated singular value decomposition

Indexed keywords

FINITE DIFFERENCE APPROXIMATIONS; GENERALIZED CROSS VALIDATION; HEAT EQUATION; HEAT SOURCES; ILL-CONDITIONED; MATRIX EQUATIONS; NUMERICAL EXAMPLE; NUMERICAL SCHEME; OPTIMAL REGULARIZATION; TRUNCATED SINGULAR VALUE DECOMPOSITION;

EID: 77953086473     PISSN: 20407939     EISSN: 20407947     Source Type: Journal    
DOI: 10.1002/cnm.1155     Document Type: Article
Times cited : (48)

References (23)
  • 1
    • 0003668025 scopus 로고
    • Americal Mathematical Society: Providence, RI
    • Isakov V. Inverse Source Problems. Americal Mathematical Society: Providence, RI, 1989.
    • (1989) Inverse Source Problems
    • Isakov, V.1
  • 3
    • 33746288650 scopus 로고    scopus 로고
    • Identification of source locations in two-dimensional heat equations
    • Ling L, Yamamoto M, Hon YC, Takeuchi T. Identification of source locations in two-dimensional heat equations. Inverse Problems 2006; 22:1289-1305.
    • (2006) Inverse Problems , vol.22 , pp. 1289-1305
    • Ling, L.1    Yamamoto, M.2    Hon, Y.C.3    Takeuchi, T.4
  • 4
    • 33644854587 scopus 로고
    • Uniqueness and stability of 3D heat sources
    • Cannon JR, Pérez Esteva S. Uniqueness and stability of 3D heat sources. Inverse Problems 1991; 7:57-62.
    • (1991) Inverse Problems , vol.7 , pp. 57-62
    • Cannon, J.R.1    Pérez Esteva, S.2
  • 6
    • 33745082425 scopus 로고    scopus 로고
    • The boundary-element method for the determination of a heat source dependent on one variable
    • Farcas A, Lesnic D. The boundary-element method for the determination of a heat source dependent on one variable. Journal of Engineering Mathematics 2006; 54:375-388.
    • (2006) Journal of Engineering Mathematics , vol.54 , pp. 375-388
    • Farcas, A.1    Lesnic, D.2
  • 7
    • 0034010026 scopus 로고    scopus 로고
    • A boundary element method of inverse non-linear heat conduction analysis with point and line heat sources
    • Karami G, Hematiyan MR. A boundary element method of inverse non-linear heat conduction analysis with point and line heat sources. Communications in Numerical Methods in Engineering 2000; 16:191-203.
    • (2000) Communications in Numerical Methods in Engineering , vol.16 , pp. 191-203
    • Karami, G.1    Hematiyan, M.R.2
  • 8
  • 9
    • 0037176761 scopus 로고    scopus 로고
    • Numerical solution of the inverse problem of determining an unknown source term in a heat equation
    • Fatullayev AG. Numerical solution of the inverse problem of determining an unknown source term in a heat equation. Mathematics and Computers in Simulation 2002; 58:247-253.
    • (2002) Mathematics and Computers in Simulation , vol.58 , pp. 247-253
    • Fatullayev, A.G.1
  • 10
    • 0031166389 scopus 로고    scopus 로고
    • Non-iterative solution of inverse heat conduction problems in one dimension
    • Yang CY. Non-iterative solution of inverse heat conduction problems in one dimension. Communications in Numerical Methods in Engineering 1997; 13:419-427.
    • (1997) Communications in Numerical Methods in Engineering , vol.13 , pp. 419-427
    • Yang, C.Y.1
  • 11
    • 0031974898 scopus 로고    scopus 로고
    • Solving the two-dimensional inverse heat source problem through the linear least-squares error method
    • Yang CY. Solving the two-dimensional inverse heat source problem through the linear least-squares error method. International Journal of Heat and Mass Transfer 1998; 41(2):393-398.
    • (1998) International Journal of Heat and Mass Transfer , vol.41 , Issue.2 , pp. 393-398
    • Yang, C.Y.1
  • 13
    • 36549083034 scopus 로고    scopus 로고
    • A variational method for identifying a spacewise-dependent heat source
    • Johansson T, Lesnic D. A variational method for identifying a spacewise-dependent heat source. IMA Journal of Applied Mathematics 2007; 72(6):748-760.
    • (2007) IMA Journal of Applied Mathematics , vol.72 , Issue.6 , pp. 748-760
    • Johansson, T.1    Lesnic, D.2
  • 14
    • 55549142572 scopus 로고    scopus 로고
    • A procedure for determining a spacewise dependent heat source and the initial temperature
    • Johansson T, Lesnic D. A procedure for determining a spacewise dependent heat source and the initial temperature. Applicable Analysis 2008; 87(3):265-276.
    • (2008) Applicable Analysis , vol.87 , Issue.3 , pp. 265-276
    • Johansson, T.1    Lesnic, D.2
  • 17
    • 0027188356 scopus 로고
    • Slowly divergent space marching schemes in the inverse heat conduction problem
    • Carasso AS. Slowly divergent space marching schemes in the inverse heat conduction problem. Numerical Heat Transfer B 1993; 23:111-126.
    • (1993) Numerical Heat Transfer B , vol.23 , pp. 111-126
    • Carasso, A.S.1
  • 18
    • 0000713516 scopus 로고
    • Numerical solution of the sideways heat equation by difference approximation in time
    • Eldén L. Numerical solution of the sideways heat equation by difference approximation in time. Inverse Problems 1995; 11:913-923.
    • (1995) Inverse Problems , vol.11 , pp. 913-923
    • Eldén, L.1
  • 21
    • 0023570429 scopus 로고
    • The truncated SVD as a method for regularization
    • Hansen PC. The truncated SVD as a method for regularization. BIT 1987; 27(4):533-534.
    • (1987) BIT , vol.27 , Issue.4 , pp. 533-534
    • Hansen, P.C.1
  • 22
    • 0013298158 scopus 로고    scopus 로고
    • The use of monotonicity for choosing the regularization parameter in ill-posed problems
    • Tautenhahn U, Hämarik U. The use of monotonicity for choosing the regularization parameter in ill-posed problems. Inverse Problems 1999; 15:1487-1505.
    • (1999) Inverse Problems , vol.15 , pp. 1487-1505
    • Tautenhahn, U.1    Hämarik, U.2
  • 23
    • 32044449925 scopus 로고
    • Generalized cross-validation as method for choosing a good ride parameter
    • Golub G, Heath M, Wahba G. Generalized cross-validation as method for choosing a good ride parameter. Technometrics 1979; 21(2):215-223.
    • (1979) Technometrics , vol.21 , Issue.2 , pp. 215-223
    • Golub, G.1    Heath, M.2    Wahba, G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.