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Volumn 33, Issue 6, 1996, Pages 2184-2214

A numerical method for steady state free boundary problems

Author keywords

A priori estimate; Exponential rate of convergence; Free boundary; Minimization sequence; The Laplace equation; Variational formulation

Indexed keywords


EID: 1542785585     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142992229853     Document Type: Article
Times cited : (4)

References (12)
  • 1
    • 1542428572 scopus 로고
    • Convergence results for an analytical trial free-boundary method
    • A. ACKER, Convergence results for an analytical trial free-boundary method, IMA J. Numer. Anal., 8 (1988), pp. 357-364.
    • (1988) IMA J. Numer. Anal. , vol.8 , pp. 357-364
    • Acker, A.1
  • 2
    • 1542428571 scopus 로고
    • Numerical analysis of cavitational flow-theory
    • N. E. AGUILERA, Numerical analysis of cavitational flow-theory, Numer. Math., 55 (1989), pp. 1-32.
    • (1989) Numer. Math. , vol.55 , pp. 1-32
    • Aguilera, N.E.1
  • 3
    • 33845404914 scopus 로고
    • Existence and regularity for a minimum problem with free boundary
    • H. W. ALT AND L. A. CAFFARELLI, Existence and regularity for a minimum problem with free boundary, J. Reine Angew. Math., 325 (1981), pp. 105-144.
    • (1981) J. Reine Angew. Math. , vol.325 , pp. 105-144
    • Alt, H.W.1    Caffarelli, L.A.2
  • 4
    • 0016577088 scopus 로고
    • On the existence of a solution in a domain identification problem
    • D. CHENAIS, On the existence of a solution in a domain identification problem, J. Math. Anal. Appl., 52 (1975), pp. 189-219.
    • (1975) J. Math. Anal. Appl. , vol.52 , pp. 189-219
    • Chenais, D.1
  • 6
    • 0025485742 scopus 로고
    • Some numerical methods for the computation of capillary free boundaries governed by the Navier-Stokes equations
    • C. CUVELIER AND R. M. S. M. SCHULKES, Some numerical methods for the computation of capillary free boundaries governed by the Navier-Stokes equations, SIAM Review, 32 (1990), pp. 355-423.
    • (1990) SIAM Review , vol.32 , pp. 355-423
    • Cuvelier, C.1    Schulkes, R.M.S.M.2
  • 9
    • 1542533349 scopus 로고
    • Some methods of resolution of free surface problems
    • J. L. LIONS, Some methods of resolution of free surface problems, Lecture Notes in Phys., 59 (1976), pp. 1-31.
    • (1976) Lecture Notes in Phys. , vol.59 , pp. 1-31
    • Lions, J.L.1
  • 11
    • 84966222638 scopus 로고
    • Variational formulation of a model free-boundary problem
    • P. SAAVEDRA AND L. R. SCOTT, Variational formulation of a model free-boundary problem, Math. Comp., 57 (1991), pp. 451-476.
    • (1991) Math. Comp. , vol.57 , pp. 451-476
    • Saavedra, P.1    Scott, L.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.