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Volumn 65, Issue 215, 1996, Pages 999-1017

On a variational approximation method for a class of elliptic eigenvalue problems in composite structures

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; PARTIAL DIFFERENTIAL EQUATIONS; VARIATIONAL TECHNIQUES;

EID: 0030369773     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-96-00741-7     Document Type: Article
Times cited : (7)

References (27)
  • 1
    • 38249010758 scopus 로고    scopus 로고
    • Some results in lumped mass finite-element approximation of eigenvalue problems using numerical quadrature
    • A.B. Andreev, V.A. Kascieva & M. Vanmaele, Some results in lumped mass finite-element approximation of eigenvalue problems using numerical quadrature, J. Comp. Appl. Math., 43 (1992) 291-311. MR 93k:65088
    • (1992) J. Comp. Appl. Math. , vol.43 , pp. 291-311
    • Andreev, A.B.1    Kascieva, V.A.2    Vanmaele, M.3
  • 2
    • 38249010758 scopus 로고    scopus 로고
    • A.B. Andreev, V.A. Kascieva & M. Vanmaele, Some results in lumped mass finite-element approximation of eigenvalue problems using numerical quadrature, J. Comp. Appl. Math., 43 (1992) 291-311. MR 93k:65088
    • MR , vol.93 K , pp. 65088
  • 3
    • 0001701327 scopus 로고    scopus 로고
    • Estimation of the effect of numerical integration in finite element eigenvalue approximation
    • U. Banerjee & J.E. Osborn, Estimation of the Effect of Numerical Integration in Finite Element Eigenvalue Approximation, Numer. Math., 56 (1990), 735-762. MR 91d:65163
    • (1990) Numer. Math. , vol.56 , pp. 735-762
    • Banerjee, U.1    Osborn, J.E.2
  • 4
    • 0001701327 scopus 로고    scopus 로고
    • U. Banerjee & J.E. Osborn, Estimation of the Effect of Numerical Integration in Finite Element Eigenvalue Approximation, Numer. Math., 56 (1990), 735-762. MR 91d:65163
    • MR , vol.91 D , pp. 65163
  • 6
    • 0039788182 scopus 로고    scopus 로고
    • P.G. Ciarlet, The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam (1978). MR 58:25001
    • MR , vol.58 , pp. 25001
  • 8
    • 4243816665 scopus 로고    scopus 로고
    • R. Dautray & J.-L. Lions, Analyse Mathématique et Calcul Numérique pour les Sciences et les Techniques, Tome 1, Masson, Paris (1984). MR 87g:00002
    • MR , vol.87 G , pp. 00002
  • 10
    • 25544461393 scopus 로고    scopus 로고
    • _, Analyse Mathématique et Calcul Numérique pour les Sciences et les Techniques, Tome 2, Masson, Paris (1985). MR 88i:00003a
    • MR , vol.88 I
  • 12
    • 0039195805 scopus 로고    scopus 로고
    • P.J. Davis & P. Rabinowitz, Methods of numerical integration, Academic Press, N. Y. (1975). MR 56:7119
    • MR , vol.56 , pp. 7119
  • 13
    • 25544457072 scopus 로고
    • On the numerical solution of some heat transfer problems in multi-component structures with nonperfect thermal contacts
    • R.W. Lewis, (editor), Pineridge Press, Swansea
    • J. Kačur & R. Van Keer, On the Numerical Solution of some Heat Transfer Problems in Multi-component Structures with nonperfect Thermal Contacts. In: R.W. Lewis, (editor), Numerical Methods for Thermal Problems VII, Pineridge Press, Swansea (1991) 1378-1388.
    • (1991) Numerical Methods for Thermal Problems VII , pp. 1378-1388
    • Kačur, J.1    Van Keer, R.2
  • 15
    • 85040880802 scopus 로고    scopus 로고
    • H. Kardestuncer & D.H. Norrie, Finite Element Handbook, McGraw-Hill Book Comp., N.Y. (1987). MR 89g:65001
    • MR , vol.89 G , pp. 65001
  • 17
    • 0039975176 scopus 로고    scopus 로고
    • A. Kufner, O. John & S. Fučík. Function Spaces, Noordhoff International Publishing, Leyden (1977). MR 58:2189
    • MR , vol.58 , pp. 2189
  • 22
    • 4243912782 scopus 로고    scopus 로고
    • P.A. Raviart & J.M. Thomas, Introduction à l'Analyse Numérique des Equations aux Dérivées Partielles, Masson, Paris (1983). MR 87a:65001a
    • MR , vol.87 A
  • 23
    • 0041700735 scopus 로고
    • A numerical quadrature finite element method for 2nd-order eigenvalue problems with Dirichlet-Robin boundary conditions
    • Prague
    • M. Vanmaele, A numerical quadrature finite element method for 2nd-order eigenvalue problems with Dirichlet-Robin boundary conditions, Proceedings ISNA'92, Prague (1994), 269-292.
    • (1994) Proceedings ISNA'92 , pp. 269-292
    • Vanmaele, M.1
  • 24
    • 0003402806 scopus 로고
    • Convergence and error estimates for a finite element method with numerical quadrature for a second-order elliptic eigenvalue problem
    • M. Vanmaele & R. Van Keer, Convergence and error estimates for a finite element method with numerical quadrature for a second-order elliptic eigenvalue problem, Int. Series of Num. Math., 96 (1991) 225-236. CMP 91:13
    • (1991) Int. Series of Num. Math. , vol.96 , pp. 225-236
    • Vanmaele, M.1    Van Keer, R.2
  • 25
    • 0041700738 scopus 로고    scopus 로고
    • M. Vanmaele & R. Van Keer, Convergence and error estimates for a finite element method with numerical quadrature for a second-order elliptic eigenvalue problem, Int. Series of Num. Math., 96 (1991) 225-236. CMP 91:13
    • CMP , vol.91 , pp. 13
  • 26
    • 38149146713 scopus 로고    scopus 로고
    • External finite element approximations of eigenfunctions in the case of multiple eigenvalues
    • M. Vanmaele & A. Ženíšek, External finite element approximations of eigenfunctions in the case of multiple eigenvalues, J. Comp. Appl. Math., 50 (1994), 51-66. MR 95f:65199
    • (1994) J. Comp. Appl. Math. , vol.50 , pp. 51-66
    • Vanmaele, M.1    Ženíšek, A.2
  • 27
    • 38149146713 scopus 로고    scopus 로고
    • M. Vanmaele & A. Ženíšek, External finite element approximations of eigenfunctions in the case of multiple eigenvalues, J. Comp. Appl. Math., 50 (1994), 51-66. MR 95f:65199
    • MR , vol.95 F , pp. 65199


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