메뉴 건너뛰기




Volumn 32, Issue 6, 2008, Pages 517-524

An iterative MFS approach for the detection of immersed obstacles

Author keywords

Inverse boundary value problem; Method of fundamental solutions; Nonlinear least squares; Stokes equations

Indexed keywords

BOUNDARY LAYERS; BOUNDARY VALUE PROBLEMS; INVERSE PROBLEMS; NEWTON-RAPHSON METHOD; NONLINEAR EQUATIONS;

EID: 43849101571     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2007.10.011     Document Type: Article
Times cited : (24)

References (18)
  • 1
    • 0033666797 scopus 로고    scopus 로고
    • An inverse boundary value problem for the Oseen equations
    • Kress R., and Meyer S. An inverse boundary value problem for the Oseen equations. Math Meth Appl Sci 23 (2000) 103-120
    • (2000) Math Meth Appl Sci , vol.23 , pp. 103-120
    • Kress, R.1    Meyer, S.2
  • 2
    • 25444492655 scopus 로고    scopus 로고
    • Identification of immersed obstacles via boundary measurements
    • Alvarez C., Conca C., Friz L., and Ortega J.H. Identification of immersed obstacles via boundary measurements. Inverse Prob 21 (2005) 1531-1552
    • (2005) Inverse Prob , vol.21 , pp. 1531-1552
    • Alvarez, C.1    Conca, C.2    Friz, L.3    Ortega, J.H.4
  • 4
    • 0036436486 scopus 로고    scopus 로고
    • Detecting an inclusion in an elastic body by boundary measurements
    • Alessandrini G., Morassi A., and Rosset E. Detecting an inclusion in an elastic body by boundary measurements. SIAM J Math Anal 33 (2002) 1247-1268
    • (2002) SIAM J Math Anal , vol.33 , pp. 1247-1268
    • Alessandrini, G.1    Morassi, A.2    Rosset, E.3
  • 5
    • 33846423925 scopus 로고    scopus 로고
    • Uniqueness and partial identification in a geometric inverse problem for the Boussinesq system
    • Doubova A., Fernández-Cara E., González-Burgos M., and Ortega J. Uniqueness and partial identification in a geometric inverse problem for the Boussinesq system. C R Math Acad Sci Paris 342 9 (2006) 665-670
    • (2006) C R Math Acad Sci Paris , vol.342 , Issue.9 , pp. 665-670
    • Doubova, A.1    Fernández-Cara, E.2    González-Burgos, M.3    Ortega, J.4
  • 7
    • 3042858222 scopus 로고    scopus 로고
    • On the determination of point-forces on a Stokes system
    • Alves C.J.S., and Silvestre A.L. On the determination of point-forces on a Stokes system. Math Comput Simulation 66 (2004) 385-397
    • (2004) Math Comput Simulation , vol.66 , pp. 385-397
    • Alves, C.J.S.1    Silvestre, A.L.2
  • 8
    • 36949011452 scopus 로고    scopus 로고
    • Integral equations for the solution of an inverse boundary value problem for the two-dimensional Stokes equations
    • Alves C.J.S., Kress R., and Silvestre A.L. Integral equations for the solution of an inverse boundary value problem for the two-dimensional Stokes equations. J Inverse Ill-Posed Probl 15 (2007) 1-20
    • (2007) J Inverse Ill-Posed Probl , vol.15 , pp. 1-20
    • Alves, C.J.S.1    Kress, R.2    Silvestre, A.L.3
  • 9
    • 0022107918 scopus 로고
    • Fundamental solutions method for elliptic boundary value problems
    • Bogomolny A. Fundamental solutions method for elliptic boundary value problems. SIAM J Numer Anal 22 (1985) 644-669
    • (1985) SIAM J Numer Anal , vol.22 , pp. 644-669
    • Bogomolny, A.1
  • 10
    • 9944227533 scopus 로고
    • The method of functional equations for the approximate solution of certain boundary value problems
    • Kupradze V.D., and Aleksidze M.A. The method of functional equations for the approximate solution of certain boundary value problems. Zh Vychsi Mat 4 (1964) 683-715
    • (1964) Zh Vychsi Mat , vol.4 , pp. 683-715
    • Kupradze, V.D.1    Aleksidze, M.A.2
  • 12
    • 3142761742 scopus 로고    scopus 로고
    • Density results using Stokeslets and a method of fundamental solutions for the Stokes equations
    • Alves C.J.S., and Silvestre A.L. Density results using Stokeslets and a method of fundamental solutions for the Stokes equations. Eng Anal Bound Elem 28 (2005) 1245-1252
    • (2005) Eng Anal Bound Elem , vol.28 , pp. 1245-1252
    • Alves, C.J.S.1    Silvestre, A.L.2
  • 14
    • 43849113580 scopus 로고    scopus 로고
    • Galdi GP, An Introduction to the mathematical theory of the Navier-Stokes equations: linearised steady problems, Springer tracts in natural philosophy, revised ed., vol. 38. Springer: New York, 1998.
    • Galdi GP, An Introduction to the mathematical theory of the Navier-Stokes equations: linearised steady problems, Springer tracts in natural philosophy, revised ed., vol. 38. Springer: New York, 1998.
  • 16
    • 0027790983 scopus 로고
    • The completed double layer integral equation method for two dimensional stokes flow
    • Power H. The completed double layer integral equation method for two dimensional stokes flow. IMA J Appl Math 51 (1993) 123-145
    • (1993) IMA J Appl Math , vol.51 , pp. 123-145
    • Power, H.1
  • 17
    • 43849110419 scopus 로고    scopus 로고
    • Alves CJS, Martins NF. The direct method of fundamental solutions and the inverse Kirsch Kress method for the reconstruction of elastic inclusions or cavities, Preprint (22), Department of Mathematics, FCT/UNL; 2007.
    • Alves CJS, Martins NF. The direct method of fundamental solutions and the inverse Kirsch Kress method for the reconstruction of elastic inclusions or cavities, Preprint (22), Department of Mathematics, FCT/UNL; 2007.
  • 18
    • 43849112480 scopus 로고    scopus 로고
    • Kirsch A, Kress R, On an integral equation of the first kind in inverse acoustic scattering. Inverse problems (Oberwolfach, 1986) Internationale schriftenreihezur numerschee mathematik, vol. 77. Basel, Birkhauser: 1986, p. 93-102.
    • Kirsch A, Kress R, On an integral equation of the first kind in inverse acoustic scattering. Inverse problems (Oberwolfach, 1986) Internationale schriftenreihezur numerschee mathematik, vol. 77. Basel, Birkhauser: 1986, p. 93-102.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.