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Volumn 36, Issue 2, 2005, Pages 129-138

A three-dimensional boundary determination problem in potential corrosion damage

Author keywords

Boundary detection; Inverse geometric problems

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; CORROSION; ELECTRIC CURRENTS; ELECTRIC IMPEDANCE; FUNCTIONS; INVERSE PROBLEMS; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; OPTIMIZATION; QUADRATIC PROGRAMMING; THREE DIMENSIONAL;

EID: 21144444255     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-004-0647-0     Document Type: Article
Times cited : (22)

References (33)
  • 1
    • 0001464670 scopus 로고    scopus 로고
    • Examples of instability in inverse boundary value problems
    • Alessandrini G (1997) Examples of instability in inverse boundary value problems. Inverse Problems 13:887-897
    • (1997) Inverse Problems , vol.13 , pp. 887-897
    • Alessandrini, G.1
  • 2
    • 0032622871 scopus 로고    scopus 로고
    • Stable determination of a crack in a planar inhomogeneous conductor
    • Alessandrini G, Rondi L (1998) Stable determination of a crack in a planar inhomogeneous conductor. SIAM J Math Anal 30:326-340
    • (1998) SIAM J Math Anal , vol.30 , pp. 326-340
    • Alessandrini, G.1    Rondi, L.2
  • 3
    • 1642360334 scopus 로고
    • Domain identification for harmonic functions
    • Ang DD, Vy LK (1995) Domain identification for harmonic functions. Act App Math 38:217-238
    • (1995) Act App Math , vol.38 , pp. 217-238
    • Ang, D.D.1    Vy, L.K.2
  • 4
    • 0031207720 scopus 로고    scopus 로고
    • A semi-explicit algorithm for the reconstruction of 3D planar cracks
    • Bannour T, Ben Abda A, Jaoua M (1997) A semi-explicit algorithm for the reconstruction of 3D planar cracks. Inverse Problems 13:899-917
    • (1997) Inverse Problems , vol.13 , pp. 899-917
    • Bannour, T.1    Ben Abda, A.2    Jaoua, M.3
  • 5
    • 0001067701 scopus 로고    scopus 로고
    • A particular solution Treffetz method for non-linear Poisson problems in heat and mass transfer
    • Balakrishnan K, Ramachandran PA (1999) A particular solution Treffetz method for non-linear Poisson problems in heat and mass transfer. J Comput Phys 150:239-267
    • (1999) J Comput Phys , vol.150 , pp. 239-267
    • Balakrishnan, K.1    Ramachandran, P.A.2
  • 6
    • 34250098171 scopus 로고
    • Reinforcement by a thin layer with oscillating thickness
    • Buttazzo G, Khon RV (1988) Reinforcement by a thin layer with oscillating thickness. Appl Math Optim 16:247-261
    • (1988) Appl Math Optim , vol.16 , pp. 247-261
    • Buttazzo, G.1    Khon, R.V.2
  • 8
    • 23044529260 scopus 로고    scopus 로고
    • Conditional stability estimation for an inverse boundary problem with non-smooth boundary in ℛ
    • Cheng J, Hon YC, Yamamoto M (2001) Conditional stability estimation for an inverse boundary problem with non-smooth boundary in ℛ. Trans Amer Math Soc 353:4123-4138
    • (2001) Trans Amer Math Soc , vol.353 , pp. 4123-4138
    • Cheng, J.1    Hon, Y.C.2    Yamamoto, M.3
  • 9
    • 10444237401 scopus 로고    scopus 로고
    • Identification of cracks in three-dimensional bodies by many boundary measurements
    • Eller M (1996) Identification of cracks in three-dimensional bodies by many boundary measurements. Inverse Problems 12:395-408
    • (1996) Inverse Problems , vol.12 , pp. 395-408
    • Eller, M.1
  • 10
    • 0032344733 scopus 로고    scopus 로고
    • The method of fundamental solutions for elliptic boundary value problems
    • Fairweather G, Karageorghis A (1998) The method of fundamental solutions for elliptic boundary value problems. Advances in Comput. Math. 9:69-95
    • (1998) Advances in Comput. Math. , vol.9 , pp. 69-95
    • Fairweather, G.1    Karageorghis, A.2
  • 12
    • 0000776101 scopus 로고    scopus 로고
    • The method of fundamental solutions for potential, Helmholtz and diffusion problems
    • Goldberg MA (ed) WIT Press, Southampton
    • Goldberg MA, Chen CS (1998) The method of fundamental solutions for potential, Helmholtz and diffusion problems. In: Goldberg MA (ed) Boundary Integral Methods: Numerical and Mathematical Aspects, WIT Press, Southampton
    • (1998) Boundary Integral Methods: Numerical and Mathematical Aspects
    • Ma, G.1    Chen, C.S.2
  • 13
    • 0000570697 scopus 로고
    • Analysis of discrete ill-posed problems by means of the L-curve
    • Hansen PC (1992) Analysis of discrete ill-posed problems by means of the L-curve. SIAM Review 34:561-580
    • (1992) SIAM Review , vol.34 , pp. 561-580
    • Hansen, P.C.1
  • 15
    • 0031212101 scopus 로고    scopus 로고
    • An inverse problem in corrosion detection
    • Inglese G (1997) An inverse problem in corrosion detection. Inverse Problems 13:977-994
    • (1997) Inverse Problems , vol.13 , pp. 977-994
    • Inglese, G.1
  • 16
    • 0000522083 scopus 로고
    • New stability results for the soft obstacles in inverse scattering
    • Isakov V (1993) New stability results for the soft obstacles in inverse scattering. Inverse Problems 9:535-543
    • (1993) Inverse Problems , vol.9 , pp. 535-543
    • Isakov, V.1
  • 18
    • 0029368813 scopus 로고
    • Nondestructive evaluation of corrosion damage using electrostatic boundary measurements
    • Kaup PG, Santosa F (1995) Nondestructive evaluation of corrosion damage using electrostatic boundary measurements. J Nondestruct Eval 14:127-136
    • (1995) J Nondestruct Eval , vol.14 , pp. 127-136
    • Kaup, P.G.1    Santosa, F.2
  • 19
    • 0003003643 scopus 로고    scopus 로고
    • Method for imaging corrosion damage in thin plates from electrostatic data
    • Kaup PG, Santosa F, Vogelius M (1996) Method for imaging corrosion damage in thin plates from electrostatic data. Inverse Problems 12:279-293
    • (1996) Inverse Problems , vol.12 , pp. 279-293
    • Kaup, P.G.1    Santosa, F.2    Vogelius, M.3
  • 20
    • 0002459546 scopus 로고
    • Charge simulation method using exterior mapping functions
    • Katsurada M (1994) Charge simulation method using exterior mapping functions. Jpn J Ind Appl Math 11:47-61
    • (1994) Jpn J Ind Appl Math , vol.11 , pp. 47-61
    • Katsurada, M.1
  • 21
    • 0035078553 scopus 로고    scopus 로고
    • An image reconstruction algorithm for three-dimensional electrical impedance tomography
    • Le Hyaric A, Pidcock MK (2001) An image reconstruction algorithm for three-dimensional electrical impedance tomography IEEE Trans. Biomed Eng 48:230-235
    • (2001) IEEE Trans. Biomed Eng , vol.48 , pp. 230-235
    • Le Hyaric, A.1    Pidcock, M.K.2
  • 22
    • 1642304349 scopus 로고    scopus 로고
    • Numerical solution of a boundary detection problem using genetic algorithms
    • Mera NS, Elliott L, Ingham DB (2004) Numerical solution of a boundary detection problem using genetic algorithms. Eng Anal Bound Elem 28:405-411
    • (2004) Eng Anal Bound Elem , vol.28 , pp. 405-411
    • Mera, N.S.1    Elliott, L.2    Ingham, D.B.3
  • 23
    • 0347601931 scopus 로고    scopus 로고
    • Convergence and stability of the method of meshless fundamental solutions using an array of randomly distributed sources
    • Mitic C, Rashed YF (2004) Convergence and stability of the method of meshless fundamental solutions using an array of randomly distributed sources. Eng Anal Bound Elem 28:143-153
    • (2004) Eng Anal Bound Elem , vol.28 , pp. 143-153
    • Mitic, C.1    Rashed, Y.F.2
  • 24
    • 0000739264 scopus 로고
    • On the solution of functional equations by the method of regularization
    • Morozov VA (1966) On the solution of functional equations by the method of regularization. Soviet Math Dokl 7:414-417
    • (1966) Soviet Math Dokl , vol.7 , pp. 414-417
    • Morozov, V.A.1
  • 25
    • 0012978017 scopus 로고    scopus 로고
    • Mark 18, The Numerical Algorithms Ltd., Oxford
    • NAG Fortran Library Manual (1999) Mark 18, The Numerical Algorithms Ltd., Oxford
    • (1999) NAG Fortran Library Manual
  • 28
    • 0035275662 scopus 로고    scopus 로고
    • The numerical solution of the three dimensional Signorini problem with the method of fundamental solutions
    • Poullikkas A, Karageorghis A, Georgiou G (2001) The numerical solution of the three dimensional Signorini problem with the method of fundamental solutions. Eng Anal Bound Elem 25:221-227
    • (2001) Eng Anal Bound Elem , vol.25 , pp. 221-227
    • Poullikkas, A.1    Karageorghis, A.2    Georgiou, G.3
  • 29
    • 0036860667 scopus 로고    scopus 로고
    • Method of fundamental solutions: Singular values decomposition analysis
    • Ramachandran PA (2002) Method of fundamental solutions: singular values decomposition analysis. Comm Numer Meth Eng 18:789-801
    • (2002) Comm Numer Meth Eng , vol.18 , pp. 789-801
    • Ramachandran, P.A.1
  • 30
    • 0022661678 scopus 로고
    • Boundary perturbation method for free boundary problem in convectively cooled continuous casting
    • Siegl R (1986) Boundary perturbation method for free boundary problem in convectively cooled continuous casting. Trans ASME, Sec C, V 108-1, 230-235
    • (1986) Trans ASME, Sec C, V , vol.108 , Issue.1 , pp. 230-235
    • Siegl, R.1
  • 32
    • 0032819129 scopus 로고    scopus 로고
    • Three-dimensional electrical impedance tomography based on the complete electrode model
    • Vauhkonen P, Vauhkonen M, Savolainen T, Kaipio JP (1999) Three-dimensional electrical impedance tomography based on the complete electrode model IEEE Trans. Biomed Eng 46:1150-1160
    • (1999) IEEE Trans. Biomed Eng , vol.46 , pp. 1150-1160
    • Vauhkonen, P.1    Vauhkonen, M.2    Savolainen, T.3    Kaipio, J.P.4
  • 33
    • 0035658540 scopus 로고    scopus 로고
    • An alternating iterative algorithm for the reconstruction of internal cracks in a three-dimensional solid body
    • Weikl W, Andrä H, Schnack E (2001) An alternating iterative algorithm for the reconstruction of internal cracks in a three-dimensional solid body. Inverse Problems 17: 1957-1975
    • (2001) Inverse Problems , vol.17 , pp. 1957-1975
    • Weikl, W.1    Andrä, H.2    Schnack, E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.