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Volumn 9, Issue 6-7, 2002, Pages 467-492

Asymptotical expansion in non-Lipschitzian domains - A numerical approach

Author keywords

3D corner; Arnoldi method; Asymptotical expansion; Galerkin Petrov FEM; Non Lipschitzian domain; Quadratic eigenvalue problem

Indexed keywords


EID: 0036389235     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/nla.292     Document Type: Conference Paper
Times cited : (10)

References (27)
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    • Kondratiev, V.A.1
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    • Elliptic Boundary Value Problems in Domains with Point Singularities
    • AMS: Providence, RI
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    • Kozlov, V.A.1    Maz'Ya, V.G.2    Rossmann, J.3
  • 6
    • 0003405151 scopus 로고    scopus 로고
    • Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations
    • AMS: Providence, RI
    • Kozlov VA, Maz'ya VG, Rossmann J. Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations. Mathematical Surreys and Monographs, vol. 85. AMS: Providence, RI, 2000.
    • (2000) Mathematical Surreys and Monographs , vol.85
    • Kozlov, V.A.1    Maz'Ya, V.G.2    Rossmann, J.3
  • 7
    • 85124701057 scopus 로고
    • Stress singularities resulting from various boundary conditions in angular corners of plates in extension
    • Williams ML. Stress singularities resulting from various boundary conditions in angular corners of plates in extension. Journal of Applied Mechanics 1952; 19:526-528.
    • (1952) Journal of Applied Mechanics , vol.19 , pp. 526-528
    • Williams, M.L.1
  • 8
    • 0023978270 scopus 로고
    • Theoretical basis of the finite element iterative method for the eigenvalue problem in stationary cracks
    • Barsoum RS. Theoretical basis of the finite element iterative method for the eigenvalue problem in stationary cracks. International Journal for Numerical Methods in Engineering 1988; 26:531-539.
    • (1988) International Journal for Numerical Methods in Engineering , vol.26 , pp. 531-539
    • Barsoum, R.S.1
  • 16
    • 0000128421 scopus 로고
    • Computation of 3D singularities in elasticity
    • M. Costabel, M. Dauge, S. Nicaise (eds), Lecture Notes in Pure and Applied Mathematics. Dekker: New York
    • Leguillon D. Computation of 3D singularities in elasticity. In Boundary Value Problems and Integral Equations in Nonsmooth Domains, M. Costabel, M. Dauge, S. Nicaise (eds), Lecture Notes in Pure and Applied Mathematics. Dekker: New York, 1995; 161-170.
    • (1995) Boundary Value Problems and Integral Equations in Nonsmooth Domains , pp. 161-170
    • Leguillon, D.1
  • 18
    • 49149143501 scopus 로고
    • Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices
    • Saad Y. Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices. Linear Algebra and Its Applications 1980; 34:269-295.
    • (1980) Linear Algebra and Its Applications , vol.34 , pp. 269-295
    • Saad, Y.1
  • 24
    • 0031190462 scopus 로고    scopus 로고
    • A model study of the quality of a posteriori error estimators for finite element solutions of linear elliptic problems, with particular reference to the behavior near the boundary
    • Babuska I. A model study of the quality of a posteriori error estimators for finite element solutions of linear elliptic problems, with particular reference to the behavior near the boundary. International Journal for Numerical Methods in Engineering 1997; 40:2521-2577.
    • (1997) International Journal for Numerical Methods in Engineering , vol.40 , pp. 2521-2577
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    • Singularities of rotationally symmetric solutions of boundary value problems for the Lamé equations
    • Beagles AE, Sändig A-M. Singularities of rotationally symmetric solutions of boundary value problems for the Lamé equations. Zeitschrift für Angewandte Mathematik und Mechanik - ZAMM, 1991; 71:423-431.
    • (1991) Zeitschrift für Angewandte Mathematik und Mechanik - ZAMM , vol.71 , pp. 423-431
    • Beagles, A.E.1    Sändig, A.-M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.