메뉴 건너뛰기




Volumn 33, Issue 4, 2009, Pages 529-538

The method of fundamental solutions for free surface Stefan problems

Author keywords

Free surface; Method of fundamental solutions; Stefan problem

Indexed keywords

FLUID DYNAMICS; MULTIPHASE FLOW;

EID: 59849085274     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2008.08.010     Document Type: Article
Times cited : (35)

References (34)
  • 2
    • 0346220062 scopus 로고
    • The one phase Stefan problem subject to the specification of energy
    • Cannon J.R., and van der Hoek J. The one phase Stefan problem subject to the specification of energy. J Math Anal Appl 86 (1982) 281-291
    • (1982) J Math Anal Appl , vol.86 , pp. 281-291
    • Cannon, J.R.1    van der Hoek, J.2
  • 3
    • 1842488552 scopus 로고
    • The classical solution of the one-dimensional two-phase Stefan problem with energy specification
    • Cannon J.R., and van der Hoek J. The classical solution of the one-dimensional two-phase Stefan problem with energy specification. Ann Mat Pura Appl 130 (1982) 385-398
    • (1982) Ann Mat Pura Appl , vol.130 , pp. 385-398
    • Cannon, J.R.1    van der Hoek, J.2
  • 4
    • 38249008385 scopus 로고
    • Solution of inverse heat conduction problems with phase changes by the mollification method
    • Murio D.A. Solution of inverse heat conduction problems with phase changes by the mollification method. Comput Math Appl 24 (1992) 45-57
    • (1992) Comput Math Appl , vol.24 , pp. 45-57
    • Murio, D.A.1
  • 6
    • 5844311098 scopus 로고    scopus 로고
    • A one-phase inverse Stefan problem
    • El Badia A., and Moutazaim F. A one-phase inverse Stefan problem. Inverse Problems 15 (1999) 1507-1522
    • (1999) Inverse Problems , vol.15 , pp. 1507-1522
    • El Badia, A.1    Moutazaim, F.2
  • 7
    • 0001725996 scopus 로고
    • A finite difference scheme for melting problems
    • Atthey D.R. A finite difference scheme for melting problems. J Inst Math Appl 13 (1974) 353-366
    • (1974) J Inst Math Appl , vol.13 , pp. 353-366
    • Atthey, D.R.1
  • 8
    • 0021466296 scopus 로고
    • An inverse finite element technique to determine the change of phase interface location in one dimensional melting problem
    • Katz M.A., and Rubinsky B. An inverse finite element technique to determine the change of phase interface location in one dimensional melting problem. Numer Heat Transfer 7 (1984) 269-283
    • (1984) Numer Heat Transfer , vol.7 , pp. 269-283
    • Katz, M.A.1    Rubinsky, B.2
  • 9
    • 0020892492 scopus 로고
    • A boundary element solution to Stefan's problem
    • Brebbia C.A., Futagami T., and Tanaka M. (Eds), Springer, Berlin
    • Wrobel L.C. A boundary element solution to Stefan's problem. In: Brebbia C.A., Futagami T., and Tanaka M. (Eds). Boundary elements V (1983), Springer, Berlin 173-182
    • (1983) Boundary elements V , pp. 173-182
    • Wrobel, L.C.1
  • 10
    • 39849100253 scopus 로고    scopus 로고
    • A computational method for inverse free boundary determination problem
    • Hon Y.C., and Li M. A computational method for inverse free boundary determination problem. Int J Numer Meth Eng 73 (2008) 1291-1309
    • (2008) Int J Numer Meth Eng , vol.73 , pp. 1291-1309
    • Hon, Y.C.1    Li, M.2
  • 12
    • 0000085314 scopus 로고
    • Free boundary problems for parabolic equations I. Melting of solids
    • Friedman A. Free boundary problems for parabolic equations I. Melting of solids. J Math Mech 8 (1959) 499-517
    • (1959) J Math Mech , vol.8 , pp. 499-517
    • Friedman, A.1
  • 13
    • 3242769901 scopus 로고
    • Existence, uniqueness, stability, and monotone dependence in a Stefan problem for heat equation
    • Cannon J.R., Douglas Jr. J., and Denson Hill C. Existence, uniqueness, stability, and monotone dependence in a Stefan problem for heat equation. J Math Mech 17 (1967) 1-19
    • (1967) J Math Mech , vol.17 , pp. 1-19
    • Cannon, J.R.1    Douglas Jr., J.2    Denson Hill, C.3
  • 14
    • 5844423875 scopus 로고
    • Remarks on a Stefan problem
    • Cannon J.R., and Denson Hill C. Remarks on a Stefan problem. J Math Mech 17 (1967) 433-441
    • (1967) J Math Mech , vol.17 , pp. 433-441
    • Cannon, J.R.1    Denson Hill, C.2
  • 15
    • 34250450623 scopus 로고
    • A two phase Stefan problem with temperature boundary conditions
    • Cannon J.R., and Primicerio M. A two phase Stefan problem with temperature boundary conditions. Ann Mat Pura Appl 88 (1971) 177-191
    • (1971) Ann Mat Pura Appl , vol.88 , pp. 177-191
    • Cannon, J.R.1    Primicerio, M.2
  • 16
    • 34250466589 scopus 로고
    • A two phase Stefan problem with flux boundary conditions
    • Cannon J.R., and Primicerio M. A two phase Stefan problem with flux boundary conditions. Ann Mat Pura Appl 88 (1971) 193-205
    • (1971) Ann Mat Pura Appl , vol.88 , pp. 193-205
    • Cannon, J.R.1    Primicerio, M.2
  • 17
    • 34250460038 scopus 로고
    • A two phase Stefan problem: regularity of the free boundary
    • Cannon J.R., and Primicerio M. A two phase Stefan problem: regularity of the free boundary. Ann Mat Pura Appl 88 (1971) 217-228
    • (1971) Ann Mat Pura Appl , vol.88 , pp. 217-228
    • Cannon, J.R.1    Primicerio, M.2
  • 18
    • 28844495248 scopus 로고
    • Classical solutions of the one-dimensional two-phase Stefan problem
    • Cannon J.R., Henry D.B., and Kotlow D.B. Classical solutions of the one-dimensional two-phase Stefan problem. Ann Mat Pura Appl 107 (1975) 311-341
    • (1975) Ann Mat Pura Appl , vol.107 , pp. 311-341
    • Cannon, J.R.1    Henry, D.B.2    Kotlow, D.B.3
  • 19
    • 59849095229 scopus 로고
    • A multi-phase Stefan problem and the disappearance of phases
    • Cannon J.R., Douglas Jr. J., and Denson Hill C. A multi-phase Stefan problem and the disappearance of phases. J Math Mech 17 (1967) 21-33
    • (1967) J Math Mech , vol.17 , pp. 21-33
    • Cannon, J.R.1    Douglas Jr., J.2    Denson Hill, C.3
  • 20
    • 0021574589 scopus 로고
    • A comparison of the boundary element method and superposition methods
    • Burgess G., and Mahajerin E. A comparison of the boundary element method and superposition methods. Comput Struct 19 (1984) 697-705
    • (1984) Comput Struct , vol.19 , pp. 697-705
    • Burgess, G.1    Mahajerin, E.2
  • 21
    • 0032344733 scopus 로고    scopus 로고
    • The method of fundamental solutions for elliptic boundary value problems
    • Fairweather G., and Karageorghis A. The method of fundamental solutions for elliptic boundary value problems. Adv Comput Math 9 (1998) 69-95
    • (1998) Adv Comput Math , vol.9 , pp. 69-95
    • Fairweather, G.1    Karageorghis, A.2
  • 22
    • 0036860667 scopus 로고    scopus 로고
    • Method of fundamental solutions: singular value decomposition analysis
    • Ramachandran P. Method of fundamental solutions: singular value decomposition analysis. Commun Numer Meth Eng 18 (2002) 789-801
    • (2002) Commun Numer Meth Eng , vol.18 , pp. 789-801
    • Ramachandran, P.1
  • 23
    • 33845926030 scopus 로고    scopus 로고
    • Potential field based geometric modelling using the method of fundamental solutions
    • Tankelevich R., Fairweather G., Karageorghis A., and Smyrlis Y.-S. Potential field based geometric modelling using the method of fundamental solutions. Int J Numer Meth Eng 68 (2006) 1257-1280
    • (2006) Int J Numer Meth Eng , vol.68 , pp. 1257-1280
    • Tankelevich, R.1    Fairweather, G.2    Karageorghis, A.3    Smyrlis, Y.-S.4
  • 24
    • 33645461386 scopus 로고    scopus 로고
    • Methods of fundamental solutions for time-dependent heat conduction problems
    • Chantasiriwan S. Methods of fundamental solutions for time-dependent heat conduction problems. Int J Numer Meth Eng 66 (2006) 147-165
    • (2006) Int J Numer Meth Eng , vol.66 , pp. 147-165
    • Chantasiriwan, S.1
  • 25
    • 0000776101 scopus 로고    scopus 로고
    • The method of fundamental solutions for potential, Helmholtz and diffusion problems
    • Comput. Mech. Publ., Southampton
    • Golberg M.A., and Chen C.S. The method of fundamental solutions for potential, Helmholtz and diffusion problems. Boundary integral methods: numerical and mathematical aspects (1999), Comput. Mech. Publ., Southampton 105-176
    • (1999) Boundary integral methods: numerical and mathematical aspects , pp. 105-176
    • Golberg, M.A.1    Chen, C.S.2
  • 26
    • 8344243002 scopus 로고    scopus 로고
    • Young DL, Tsai CC, Murugesan K, Fan CM, Chen CW. Time-dependent fundamental solutions for homogeneous diffusion problems. Eng Anal Boundary Elements 2004;28:1463-73, 173-82.
    • Young DL, Tsai CC, Murugesan K, Fan CM, Chen CW. Time-dependent fundamental solutions for homogeneous diffusion problems. Eng Anal Boundary Elements 2004;28:1463-73, 173-82.
  • 27
    • 1842842972 scopus 로고    scopus 로고
    • A fundamental solution method for inverse heat conduction problems
    • Hon Y.C., and Wei T.A. A fundamental solution method for inverse heat conduction problems. Eng Anal Boundary Elem 28 (2004) 489-495
    • (2004) Eng Anal Boundary Elem , vol.28 , pp. 489-495
    • Hon, Y.C.1    Wei, T.A.2
  • 28
    • 12344271462 scopus 로고    scopus 로고
    • The method of fundamental solutions for the backward heat conduction problem
    • Mera N.S. The method of fundamental solutions for the backward heat conduction problem. Inverse Problems Sci Eng 13 (2005) 65-78
    • (2005) Inverse Problems Sci Eng , vol.13 , pp. 65-78
    • Mera, N.S.1
  • 29
    • 0008215313 scopus 로고
    • A method for the approximate solution of limiting problems in mathematical physics
    • Kupradze V.D. A method for the approximate solution of limiting problems in mathematical physics. USSR Comput Maths Math Phys 4 (1964) 199-205
    • (1964) USSR Comput Maths Math Phys , vol.4 , pp. 199-205
    • Kupradze, V.D.1
  • 30
    • 47049117962 scopus 로고    scopus 로고
    • A method of fundamental solutions for transient heat conduction
    • Johansson B.T., and Lesnic D. A method of fundamental solutions for transient heat conduction. Eng Anal Boundary Elem 32 (2008) 697-703
    • (2008) Eng Anal Boundary Elem , vol.32 , pp. 697-703
    • Johansson, B.T.1    Lesnic, D.2
  • 32
    • 0033588427 scopus 로고    scopus 로고
    • The method of fundamental solutions for heat conduction in layered materials
    • Berger J.R., and Karageorghis A. The method of fundamental solutions for heat conduction in layered materials. Int J Numer Meth Eng 45 (1999) 1681-1694
    • (1999) Int J Numer Meth Eng , vol.45 , pp. 1681-1694
    • Berger, J.R.1    Karageorghis, A.2
  • 33
    • 84981756128 scopus 로고
    • Parabolic equations in one space variable and the non-characteristic Cauchy problem
    • Denson Hill C. Parabolic equations in one space variable and the non-characteristic Cauchy problem. Comm Pure Appl Math 20 (1967) 619-633
    • (1967) Comm Pure Appl Math , vol.20 , pp. 619-633
    • Denson Hill, C.1
  • 34
    • 36048958473 scopus 로고    scopus 로고
    • Some remarks concerning the shape of the source contour with application of the method of fundamental solutions to elastic torsion of prismatic rods
    • Gorzelanczyk P., and Kolodziej J.A. Some remarks concerning the shape of the source contour with application of the method of fundamental solutions to elastic torsion of prismatic rods. Eng Anal Boundary Elem 32 (2008) 64-75
    • (2008) Eng Anal Boundary Elem , vol.32 , pp. 64-75
    • Gorzelanczyk, P.1    Kolodziej, J.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.