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Volumn 19, Issue 3, 1998, Pages 1046-1062

Computing limit loads by minimizing a sum of norms

Author keywords

Finite element method; Limit analysis; Nonsmooth optimization; Plasticity

Indexed keywords


EID: 0001132110     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827594275303     Document Type: Article
Times cited : (71)

References (28)
  • 2
  • 3
    • 2542417409 scopus 로고
    • An infeasible dual affine scaling method for linear programming
    • K. D. ANDERSEN, An infeasible dual affine scaling method for linear programming, Committee on Algorithms Bulletin (COAL), 22 (1993), pp. 20-28.
    • (1993) Committee on Algorithms Bulletin (COAL) , vol.22 , pp. 20-28
    • Andersen, K.D.1
  • 4
    • 0030304772 scopus 로고    scopus 로고
    • An efficient Newton barrier method for minimizing a sum of Euclidean norms
    • K. D. ANDERSEN, An efficient Newton barrier method for minimizing a sum of Euclidean norms, SIAM J. Optim., 6 (1996), pp. 74-95.
    • (1996) SIAM J. Optim. , vol.6 , pp. 74-95
    • Andersen, K.D.1
  • 5
    • 0040916836 scopus 로고
    • Limit analysis with the dual affine scaling algorithm
    • K. D. ANDERSEN AND E. CHRISTIANSEN, Limit analysis with the dual affine scaling algorithm, J. Comput. Appl. Math., 59 (1995), pp. 233-243.
    • (1995) J. Comput. Appl. Math. , vol.59 , pp. 233-243
    • Andersen, K.D.1    Christiansen, E.2
  • 7
    • 0001352404 scopus 로고
    • A stable algorithm for solving the multifacility location problem involving Euclidean distances
    • P. H. CALAMAI AND A. R. CONN, A stable algorithm for solving the multifacility location problem involving Euclidean distances, SIAM J. Sci. Statist. Comput., 1 (1980), pp. 512-525.
    • (1980) SIAM J. Sci. Statist. Comput. , vol.1 , pp. 512-525
    • Calamai, P.H.1    Conn, A.R.2
  • 9
    • 0015035880 scopus 로고
    • Limit analysis of continuous media with piecewise linear yield condition
    • M. CAPURSO, Limit analysis of continuous media with piecewise linear yield condition, Meccanica-J. Ital. Assoc. Theoret. Appl. Mech., 6 (1971), pp. 53-58.
    • (1971) Meccanica-J. Ital. Assoc. Theoret. Appl. Mech. , vol.6 , pp. 53-58
    • Capurso, M.1
  • 10
    • 11744259574 scopus 로고
    • Limit analysis for plastic plates
    • E. CHRISTIANSEN, Limit analysis for plastic plates, SIAM J. Math. Anal., 11 (1980), pp. 514-522.
    • (1980) SIAM J. Math. Anal. , vol.11 , pp. 514-522
    • Christiansen, E.1
  • 11
    • 51249184306 scopus 로고
    • Limit analysis in plasticity as a mathematical programming problem
    • E. CHRISTIANSEN, Limit analysis in plasticity as a mathematical programming problem, Calcolo, 17 (1980), pp. 41-65.
    • (1980) Calcolo , vol.17 , pp. 41-65
    • Christiansen, E.1
  • 12
    • 0019622124 scopus 로고
    • Computation of limit loads, Internat
    • E. CHRISTIANSEN, Computation of limit loads, Internat. J. Numer. Methods Engrg., 17 (1981), pp. 1547-1570.
    • (1981) J. Numer. Methods Engrg. , vol.17 , pp. 1547-1570
    • Christiansen, E.1
  • 13
    • 11744273765 scopus 로고
    • Examples of collapse solutions in limit analysis
    • E. CHRISTIANSEN, Examples of collapse solutions in limit analysis, Utilitas Math., 22 (1982), pp. 77-102.
    • (1982) Utilitas Math. , vol.22 , pp. 77-102
    • Christiansen, E.1
  • 14
    • 0022524173 scopus 로고
    • On the collapse solution in limit analysis
    • E. CHRISTIANSEN, On the collapse solution in limit analysis, Arch. Rational Mech. Anal., 91 (1986), pp. 119-135.
    • (1986) Arch. Rational Mech. Anal. , vol.91 , pp. 119-135
    • Christiansen, E.1
  • 16
    • 0002009953 scopus 로고    scopus 로고
    • Limit analysis of collapse states
    • P. G. Ciarlet and J. L. Lions, eds., North-Holland, Amsterdam
    • E. CHRISTIANSEN, Limit analysis of collapse states, in Handbook of Numerical Analysis, Vol. 4, P. G. Ciarlet and J. L. Lions, eds., North-Holland, Amsterdam, 1996, pp. 193-312.
    • (1996) Handbook of Numerical Analysis , vol.4 , pp. 193-312
    • Christiansen, E.1
  • 17
    • 0039138526 scopus 로고
    • Computing material collapse displacement fields on a CRAY X-MP/48 by the primal affine scaling algorithm
    • E. CHRISTIANSEN AND K. O. KORTANEK, Computing material collapse displacement fields on a CRAY X-MP/48 by the primal affine scaling algorithm, Ann. Oper. Res., 22 (1990), pp. 355-376.
    • (1990) Ann. Oper. Res. , vol.22 , pp. 355-376
    • Christiansen, E.1    Kortanek, K.O.2
  • 18
    • 0026104194 scopus 로고
    • Computation of the collapse state in limit analysis using the LP primal affine scaling algorithm
    • E. CHRISTIANSEN AND K. O. KORTANEK, Computation of the collapse state in limit analysis using the LP primal affine scaling algorithm, J. Comput. Appl. Math., 34 (1991), pp. 47-63.
    • (1991) J. Comput. Appl. Math. , vol.34 , pp. 47-63
    • Christiansen, E.1    Kortanek, K.O.2
  • 20
    • 0011085183 scopus 로고
    • Estimation of convergence orders in repeated Richardson extrapolation
    • E. CHRISTIANSEN AND H. G. PETERSEN, Estimation of convergence orders in repeated Richardson extrapolation, BIT, 29 (1989), pp. 48-59.
    • (1989) BIT , vol.29 , pp. 48-59
    • Christiansen, E.1    Petersen, H.G.2
  • 22
    • 8544220284 scopus 로고
    • Basic error estimates for elliptic problems
    • P. G. Ciarlet and J. L. Lions, eds., North-Holland, Amsterdam
    • P. G. CIARLET, Basic error estimates for elliptic problems, in Handbook of Numerical Analysis, Vol. 2, P. G. Ciarlet and J. L. Lions, eds., North-Holland, Amsterdam, 1991.
    • (1991) Handbook of Numerical Analysis , vol.2
    • Ciarlet, P.G.1
  • 23
    • 0026187517 scopus 로고
    • A Newton type algorithm for plastic limit analysis
    • V. F. GAUDRAT, A Newton type algorithm for plastic limit analysis, Comput. Methods Appl. Mech. Engrg., 88 (1991), pp. 207-224.
    • (1991) Comput. Methods Appl. Mech. Engrg. , vol.88 , pp. 207-224
    • Gaudrat, V.F.1
  • 24
    • 0014538507 scopus 로고
    • Extension of Davidon's variable metric method to maximization under linear inequality and equality constraints
    • D. GOLDFARB, Extension of Davidon's variable metric method to maximization under linear inequality and equality constraints, SIAM J. Appl. Math., 17 (1969), pp. 739-764.
    • (1969) SIAM J. Appl. Math. , vol.17 , pp. 739-764
    • Goldfarb, D.1
  • 25
    • 0002121465 scopus 로고
    • A projected lagrangian algorithm and its implementation for sparse nonlinear constraints
    • A. G. Buckley and J.-L. Goffin, eds., Mathematical Programming Study 16, North-Holland, Amsterdam
    • B. A. MURTAGH AND M. A. SAUNDERS, A projected lagrangian algorithm and its implementation for sparse nonlinear constraints, in Algorithms for Constrained Minimization of Smooth Nonlinear Functions, A. G. Buckley and J.-L. Goffin, eds., Mathematical Programming Study 16, North-Holland, Amsterdam, 1982, pp. 84-117.
    • (1982) Algorithms for Constrained Minimization of Smooth Nonlinear Functions , pp. 84-117
    • Murtagh, B.A.1    Saunders, M.A.2
  • 26
    • 0003150632 scopus 로고
    • A quadratically convergent method for minimizing a sum of Euclidean norms
    • M. L. OVERTON, A quadratically convergent method for minimizing a sum of Euclidean norms, Math. Programming, 27 (1983), pp. 34-63.
    • (1983) Math. Programming , vol.27 , pp. 34-63
    • Overton, M.L.1
  • 27
    • 0039138525 scopus 로고
    • Numerical solution of a model problem from collapse load analysis
    • R. Glowinski and J. L. Lions, eds., Institut National de Recherche en Informatique et en Automatique (Versailles, France), North-Holland, Amsterdam
    • M. L. OVERTON, Numerical solution of a model problem from collapse load analysis, in Proceedings of the Sixth International Symposium on Computer Methods in Engineering and Applied Sciences, R. Glowinski and J. L. Lions, eds., Institut National de Recherche en Informatique et en Automatique (Versailles, France), North-Holland, Amsterdam, 1984, pp. 421-437.
    • (1984) Proceedings of the Sixth International Symposium on Computer Methods in Engineering and Applied Sciences , pp. 421-437
    • Overton, M.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.