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Volumn 69, Issue 1, 2004, Pages 1-26

The primal-dual active set method for a crack problem with non-penetration

Author keywords

Active set algorithm; Crack; Non penetration; Numerical simulation; Variational inequality

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; COMPUTER SIMULATION; FUNCTIONS; ITERATIVE METHODS; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBLEM SOLVING; SET THEORY; STIFFNESS MATRIX; THEOREM PROVING;

EID: 1642578153     PISSN: 02724960     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamat/69.1.1     Document Type: Article
Times cited : (35)

References (18)
  • 1
    • 0012539049 scopus 로고    scopus 로고
    • Stable propagation of a mode-1 planar crack in anisotropic elastic space. Comparison of the Irwin and the Griffith approaches
    • (Taormina 1998); Aracne, Rome
    • Bach, M., Nazarov, S. A. & Wendland, W. L. (2000) Stable propagation of a mode-1 planar crack in anisotropic elastic space. Comparison of the Irwin and the Griffith approaches. Curr. Probl. Anal. Math. Phys. (Taormina, 1998), 167-189, Aracne, Rome
    • (2000) Curr. Probl. Anal. Math. Phys. , pp. 167-189
    • Bach, M.1    Nazarov, S.A.2    Wendland, W.L.3
  • 6
    • 0035623113 scopus 로고    scopus 로고
    • Fracture dynamics with allowance for crack edge contact interaction
    • Guz, A. N. & Zozulya, V. V. (2001) Fracture dynamics with allowance for crack edge contact interaction. Int. J. Nonlin. Sci. Numer. Simul., 2, 173-233.
    • (2001) Int. J. Nonlin. Sci. Numer. Simul. , vol.2 , pp. 173-233
    • Guz, A.N.1    Zozulya, V.V.2
  • 7
    • 0041657515 scopus 로고    scopus 로고
    • The primal-dual active set strategy as semi-smooth Newton method
    • Hintermüller, M., Ito, K. & Kunisch, K. (2003) The primal-dual active set strategy as semi-smooth Newton method. SIAM J. Control Optim., 13, 865-888.
    • (2003) SIAM J. Control Optim. , vol.13 , pp. 865-888
    • Hintermüller, M.1    Ito, K.2    Kunisch, K.3
  • 9
    • 1642452519 scopus 로고    scopus 로고
    • Hybrid methods for boundary value problems via boundary energy
    • Basel: Birkhäuser
    • Hsiao, G. C., Schnack, E. & Wendland, W. L. (1999) Hybrid methods for boundary value problems via boundary energy. The Maz'ya Anniv. Collection (Rostock, 1998), Vol. 2. Basel: Birkhäuser, pp. 165-194.
    • (1999) The Maz'ya Anniv. Collection (Rostock) , vol.2 , pp. 165-194
    • Hsiao, G.C.1    Schnack, E.2    Wendland, W.L.3
  • 10
    • 0000299558 scopus 로고    scopus 로고
    • Augmented Lagrangian methods for nonsmooth convex optimization in Hilbert spaces
    • Ito, K. & Kunisch, K. (2000) Augmented Lagrangian methods for nonsmooth convex optimization in Hilbert spaces. Nonlinear Anal. Theory Methods Appl., 41, 573-589.
    • (2000) Nonlinear Anal. Theory Methods Appl. , vol.41 , pp. 573-589
    • Ito, K.1    Kunisch, K.2
  • 11
    • 0037261943 scopus 로고    scopus 로고
    • Semi-smooth Newton methods for the variational inequalities of the first kind
    • Ito, K. & Kunisch, K. (2003) Semi-smooth Newton methods for the variational inequalities of the first kind. ESAIM, Math. Modelling Numer. Anal., 37, 41-62.
    • (2003) ESAIM, Math. Modelling Numer. Anal. , vol.37 , pp. 41-62
    • Ito, K.1    Kunisch, K.2
  • 13
    • 0033434545 scopus 로고    scopus 로고
    • The griffith formula and the cherepanov-rice integral for crack problems with unilateral conditions in nonsmooth domains
    • Khludnev, A. M. & Sokolowski, J. (1999) The Griffith formula and the Cherepanov-Rice integral for crack problems with unilateral conditions in nonsmooth domains. Euro. J. Appl. Math., 10, 379-394.
    • (1999) Euro. J. Appl. Math. , vol.10 , pp. 379-394
    • Khludnev, A.M.1    Sokolowski, J.2
  • 14
    • 0001201669 scopus 로고
    • Contact problems with friction by linear complementarity
    • (CISM Courses and Lectures) (D. Piero-Maceri, ed.). Vienna: Springer
    • Klarbring, A. (1987) Contact problems with friction by linear complementarity. Unilateral Problems in Structure Analysis 2 (CISM Courses and Lectures, Vol. 304) (D. Piero-Maceri, ed.). Vienna: Springer.
    • (1987) Unilateral Problems in Structure Analysis 2 , vol.304
    • Klarbring, A.1
  • 15
    • 0031117880 scopus 로고    scopus 로고
    • Iterative approximations of penalty operators
    • Kovtunenko, V. A. (1997) Iterative approximations of penalty operators. Numer. Funct. Anal. Optim., 18, 383-387.
    • (1997) Numer. Funct. Anal. Optim. , vol.18 , pp. 383-387
    • Kovtunenko, V.A.1
  • 16
    • 0346055208 scopus 로고    scopus 로고
    • Numerical simulation of the non-linear crack problem with non-penetration
    • Kovtunenko, V. A. (2004) Numerical simulation of the non-linear crack problem with non-penetration. Math. Methods Appl. Sci., 27, 163-179.
    • (2004) Math. Methods Appl. Sci. , vol.27 , pp. 163-179
    • Kovtunenko, V.A.1
  • 17
    • 1642493540 scopus 로고
    • Boundary element technique in elastostatics and linear fracture mechanics
    • (CISM Courses and Lectures). Vienna: Springer
    • Kuhn, G. (1988) Boundary element technique in elastostatics and linear fracture mechanics. Theory and engineering applications. (CISM Courses and Lectures, Vol. 301). Vienna: Springer, pp. 109-169.
    • (1988) Theory and Engineering Applications , vol.301 , pp. 109-169
    • Kuhn, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.