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Volumn 11, Issue 3, 2001, Pages 521-547

Fictitious domains methods with distributed Lagrange multipliers part I: Application to the solution of elliptic state problems

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EID: 0035613522     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202501000969     Document Type: Article
Times cited : (13)

References (16)
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    • (1996) Jpn. J. Indust. Appl. Math. , vol.13 , pp. 257-266
    • Agouzal, A.1    Thomas, J.M.2
  • 4
    • 0025508055 scopus 로고
    • A triangulation algorithm for fast elliptic solvers based on domain imbedding
    • C. Börgers, A triangulation algorithm for fast elliptic solvers based on domain imbedding, SIAM J. Numer. Anal. 27 (1990) 627-656.
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 627-656
    • Börgers, C.1
  • 5
    • 0025474829 scopus 로고
    • On finite element domain imbedding methods
    • C. Börgers and O. B. Widlund, On finite element domain imbedding methods, SIAM J. Numer. Anal. 27 (1990) 963-978.
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 963-978
    • Börgers, C.1    Widlund, O.B.2
  • 8
    • 0001217594 scopus 로고
    • Error analysis of a fictitious domain method applied to a Dirichlet problem
    • V. Girault and R. Glowinski, Error analysis of a fictitious domain method applied to a Dirichlet problem, Jpn. J. Indust. Appl. Math. 12 (1995) 487-514.
    • (1995) Jpn. J. Indust. Appl. Math. , vol.12 , pp. 487-514
    • Girault, V.1    Glowinski, R.2
  • 10
    • 0006309543 scopus 로고
    • Fictitious domain/mixed finite element approach for a class of optimal shape design problems
    • J. Haslinger and A. Klarbring, Fictitious domain/mixed finite element approach for a class of optimal shape design problems, RAIRO Modél. Math. Anal. Numér. 29 (1995) 435-450.
    • (1995) RAIRO Modél. Math. Anal. Numér. , vol.29 , pp. 435-450
    • Haslinger, J.1    Klarbring, A.2
  • 11
    • 0035612033 scopus 로고    scopus 로고
    • Fictitious domains methods with distributed Lagrange multipliers. Part II: Application to the solution of shape optimization problems
    • J. Haslinger, J. F. Maitre and L. Tomas, Fictitious domains methods with distributed Lagrange multipliers. Part II: Application to the solution of shape optimization problems, Math. Models Methods Appl. Sci. 11 (2001) 549-563.
    • (2001) Math. Models Methods Appl. Sci. , vol.11 , pp. 549-563
    • Haslinger, J.1    Maitre, J.F.2    Tomas, L.3
  • 13
    • 0002326129 scopus 로고
    • Fictitious space method on unstructured meshes
    • S. V. Nepomnyaschikh, Fictitious space method on unstructured meshes, East-West J. Numer. Math. 3 (1995) 71-79.
    • (1995) East-West J. Numer. Math. , vol.3 , pp. 71-79
    • Nepomnyaschikh, S.V.1
  • 14
    • 0001175293 scopus 로고
    • A mixed finite element method for second order elliptic problems
    • Mathematical Aspects of Finite Element Method, eds. I. Galligani and E. Magenes, Springer
    • P. A. Raviart and J. M. Thomas, A mixed finite element method for second order elliptic problems, in Mathematical Aspects of Finite Element Method, eds. I. Galligani and E. Magenes, Lecture Notes in Mathematics, Vol. 606 (Springer, 1977) pp. 292-315.
    • (1977) Lecture Notes in Mathematics , vol.606 , pp. 292-315
    • Raviart, P.A.1    Thomas, J.M.2
  • 16
    • 0031256757 scopus 로고    scopus 로고
    • Une estimation d'erreur pour une formulation par domaine fictif avec multiplicateur de volume du problème de Dirichlet
    • Série I
    • L. Tomas, Une estimation d'erreur pour une formulation par domaine fictif avec multiplicateur de volume du problème de Dirichlet, C. R. Acad. Sci. Paris, t. 325, Série I (1997) 793-796.
    • (1997) C. R. Acad. Sci. Paris , vol.325 , pp. 793-796
    • Tomas, L.1


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