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Volumn 228, Issue 13, 2009, Pages 4893-4910

An inverse model for a free-boundary problem with a contact line: Steady case

Author keywords

Contact line; Free boundary problem; Shape calculus; Sobolev gradients; Stefan conditions

Indexed keywords

DIFFERENTIATION (CALCULUS); INVERSE PROBLEMS; ITERATIVE METHODS;

EID: 68649116471     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.03.042     Document Type: Article
Times cited : (10)

References (37)
  • 1
    • 84906890283 scopus 로고
    • Growth of faceted needle crystals: theory
    • Amar B., and Pomeau Y. Growth of faceted needle crystals: theory. Europhys. Lett. 6 (1988) 609-614
    • (1988) Europhys. Lett. , vol.6 , pp. 609-614
    • Amar, B.1    Pomeau, Y.2
  • 2
    • 0029170803 scopus 로고
    • Thermomechanics and the formulation of the Stefan problem for fully faceted interfaces
    • Gurtin M.E., and Matias J. Thermomechanics and the formulation of the Stefan problem for fully faceted interfaces. Quart. Appl. Math. 53 (1995) 761-782
    • (1995) Quart. Appl. Math. , vol.53 , pp. 761-782
    • Gurtin, M.E.1    Matias, J.2
  • 3
    • 0001395689 scopus 로고    scopus 로고
    • Motion and arrest of a molten contact line on a cold surface: an experimental study
    • Schiaffino S., and Sonin A.A. Motion and arrest of a molten contact line on a cold surface: an experimental study. Phys. Fluids 9 (1997) 2217-2226
    • (1997) Phys. Fluids , vol.9 , pp. 2217-2226
    • Schiaffino, S.1    Sonin, A.A.2
  • 4
    • 0031207877 scopus 로고    scopus 로고
    • On the theory for the arrest of an advancing molten contact line on a cold solid of the same material
    • Schiaffino S., and Sonin A.A. On the theory for the arrest of an advancing molten contact line on a cold solid of the same material. Phys. Fluids 9 (1997) 2227-2233
    • (1997) Phys. Fluids , vol.9 , pp. 2227-2233
    • Schiaffino, S.1    Sonin, A.A.2
  • 6
    • 33845404914 scopus 로고
    • Existence and regularity for a minimum problem with free boundary
    • Alt H.W., and Caffarelli L.A. Existence and regularity for a minimum problem with free boundary. J. Reine Angew. Math. 325 (1981) 105-144
    • (1981) J. Reine Angew. Math. , vol.325 , pp. 105-144
    • Alt, H.W.1    Caffarelli, L.A.2
  • 7
    • 0002491212 scopus 로고
    • Weak shape formulation of free boundary problems
    • Zolésio J.-P. Weak shape formulation of free boundary problems. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 21 I (1994) 11-44
    • (1994) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.21 , Issue.I , pp. 11-44
    • Zolésio, J.-P.1
  • 8
    • 68649120725 scopus 로고
    • Fixed domain methods in variable domain problems
    • J.I. Diaz, Ed, Free Boundary Problems: Theory and Applications Pitman Res, Longman Sci. Tech, Harlow
    • K.-H. Hoffmann, D. Tiba, Fixed domain methods in variable domain problems, in: J.I. Diaz, (Ed.), Free Boundary Problems: Theory and Applications Pitman Res. Notes Math. Ser., vol. 323, Longman Sci. Tech, Harlow, 1995, p. 123-146.
    • (1995) Notes Math. Ser , vol.323 , pp. 123-146
    • Hoffmann, K.-H.1    Tiba, D.2
  • 9
    • 85190082301 scopus 로고
    • Optimal shape design for parabolic system and two-phase Stefan problem
    • Birkhauser
    • S.P. Okhezin, Optimal shape design for parabolic system and two-phase Stefan problem, in: Free Boundary Problems in Continuum Mechanics, Birkhauser, 1992, pp. 239-244.
    • (1992) Free Boundary Problems in Continuum Mechanics , pp. 239-244
    • Okhezin, S.P.1
  • 11
    • 21844513333 scopus 로고
    • A rapid method for the identification of the free boundary in two-phase Stefan problems
    • Männikkö T., Neittaanmäki P., and Tiba D. A rapid method for the identification of the free boundary in two-phase Stefan problems. IMA J. Numer. Anal. 14 (1994) 411-420
    • (1994) IMA J. Numer. Anal. , vol.14 , pp. 411-420
    • Männikkö, T.1    Neittaanmäki, P.2    Tiba, D.3
  • 12
    • 0031313841 scopus 로고    scopus 로고
    • Shape optimization and trial methods for free boundary problems
    • Tiihonen T. Shape optimization and trial methods for free boundary problems. RAIRO Modél. Math. Anal. Numér. 31 (1997) 805-825
    • (1997) RAIRO Modél. Math. Anal. Numér. , vol.31 , pp. 805-825
    • Tiihonen, T.1
  • 13
    • 0039613874 scopus 로고    scopus 로고
    • Free surfaces: shape sensitivity analysis and numerical methods
    • Kärkkäinen K., and Tiihonen T. Free surfaces: shape sensitivity analysis and numerical methods. Int. J. Numer. Methods Eng. 44 (1999) 1079-1098
    • (1999) Int. J. Numer. Methods Eng. , vol.44 , pp. 1079-1098
    • Kärkkäinen, K.1    Tiihonen, T.2
  • 14
    • 0242499510 scopus 로고    scopus 로고
    • Shape optimization and fictitious domain approach for solving free boundary problems of Bernoulli type
    • Haslinger J., Kozubek T., Kunisch K., and Peichl G. Shape optimization and fictitious domain approach for solving free boundary problems of Bernoulli type. Comput. Optim. Appl. 26 (2003) 231-251
    • (2003) Comput. Optim. Appl. , vol.26 , pp. 231-251
    • Haslinger, J.1    Kozubek, T.2    Kunisch, K.3    Peichl, G.4
  • 15
    • 33845417922 scopus 로고    scopus 로고
    • Solving steady interface problems using residual velocities
    • Donaldson R.D., and Wetton B.R. Solving steady interface problems using residual velocities. IMA J. Appl. Math. 71 (2006) 877-897
    • (2006) IMA J. Appl. Math. , vol.71 , pp. 877-897
    • Donaldson, R.D.1    Wetton, B.R.2
  • 16
    • 33745956405 scopus 로고    scopus 로고
    • Efficient treatment of stationary free boundary problems
    • Eppler K., and Harbrecht H. Efficient treatment of stationary free boundary problems. Appl. Numer. Math. 56 (2006) 1326-1339
    • (2006) Appl. Numer. Math. , vol.56 , pp. 1326-1339
    • Eppler, K.1    Harbrecht, H.2
  • 22
    • 0003451932 scopus 로고
    • Springer-Verlag, Berlin
    • Dauge M. Elliptic Boundary Value Problems in Corner Domains - Smoothness and Asymptotics of Solutions. Lecture Notes in Mathematics vol. 1341 (1988), Springer-Verlag, Berlin
    • (1988) Lecture Notes in Mathematics , vol.1341
    • Dauge, M.1
  • 23
    • 0028446357 scopus 로고
    • Local fluid and heat flow near contact lines
    • Anderson D.M., and Davis S.H. Local fluid and heat flow near contact lines. J. Fluid Mech. 268 (1994) 231-265
    • (1994) J. Fluid Mech. , vol.268 , pp. 231-265
    • Anderson, D.M.1    Davis, S.H.2
  • 24
    • 0031077374 scopus 로고    scopus 로고
    • A crystalline motion: uniqueness and geometric properties
    • Rybka P. A crystalline motion: uniqueness and geometric properties. SIAM J. Appl. Math. 57 (1997) 53-72
    • (1997) SIAM J. Appl. Math. , vol.57 , pp. 53-72
    • Rybka, P.1
  • 25
    • 0001351887 scopus 로고
    • Differentiation with respect to domain in boundary value problems
    • Simon J. Differentiation with respect to domain in boundary value problems. Numer. Funct. Anal. Optimiz. 2 7&8 (1980) 649-687
    • (1980) Numer. Funct. Anal. Optimiz. , vol.2 , Issue.7-8 , pp. 649-687
    • Simon, J.1
  • 29
    • 1542636290 scopus 로고    scopus 로고
    • A comprehensive framework for the regularization of adjoint analysis in multiscale PDE systems
    • Protas B., Bewley T., and Hagen G. A comprehensive framework for the regularization of adjoint analysis in multiscale PDE systems. J. Comput. Phys. 195 1 (2004) 49-89
    • (2004) J. Comput. Phys. , vol.195 , Issue.1 , pp. 49-89
    • Protas, B.1    Bewley, T.2    Hagen, G.3
  • 31
    • 85190083294 scopus 로고    scopus 로고
    • See
    • See .
  • 32
    • 0037050053 scopus 로고    scopus 로고
    • Suppression of vortex shedding for flow around a circular cylinder using optimal control
    • Homescu C., Navon I.M., and Li Z. Suppression of vortex shedding for flow around a circular cylinder using optimal control. Int. J. Numer. Meth. Fluids 38 (2002) 43-69
    • (2002) Int. J. Numer. Meth. Fluids , vol.38 , pp. 43-69
    • Homescu, C.1    Navon, I.M.2    Li, Z.3
  • 33
    • 85190086817 scopus 로고    scopus 로고
    • O. Volkov, B. Protas, W. Liao, D. Glander, Adjoint-based optimization of thermo-fluid phenomena in welding processes, J. Eng. Math. in press, (accepted for publication, doi:10.1007/s10665-009-9292-0).
    • O. Volkov, B. Protas, W. Liao, D. Glander, Adjoint-based optimization of thermo-fluid phenomena in welding processes, J. Eng. Math. in press, (accepted for publication, doi:10.1007/s10665-009-9292-0).
  • 34
    • 0003987999 scopus 로고    scopus 로고
    • Cambridge University Press
    • Pope S.B. Turbulent Flows (2000), Cambridge University Press
    • (2000) Turbulent Flows
    • Pope, S.B.1
  • 36
    • 33748867168 scopus 로고    scopus 로고
    • A variational approach to moving contact line hydrodynamics
    • Qian T., Wang X.-P., and Sheng P. A variational approach to moving contact line hydrodynamics. J. Fluid Mech. 564 (2006) 333-360
    • (2006) J. Fluid Mech. , vol.564 , pp. 333-360
    • Qian, T.1    Wang, X.-P.2    Sheng, P.3
  • 37
    • 0008276077 scopus 로고
    • Neumann and mixed problems on curvilinear polyhedra
    • Dauge M. Neumann and mixed problems on curvilinear polyhedra. Int. Eq. Oper. Th. 15 (1992) 227-261
    • (1992) Int. Eq. Oper. Th. , vol.15 , pp. 227-261
    • Dauge, M.1


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