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Volumn 57, Issue 8, 2003, Pages 1129-1144

Algebraic elimination of slide surface constraints in implicit structural analysis

Author keywords

Constraint equations; Direct elimination; Graph theory; Iterative methods; Schur complement; Sparsity

Indexed keywords

BOUNDARY CONDITIONS; DYNAMICS; EIGENVALUES AND EIGENFUNCTIONS; ITERATIVE METHODS; LAGRANGE MULTIPLIERS; MATRIX ALGEBRA; SURFACES;

EID: 0037698489     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.720     Document Type: Article
Times cited : (9)

References (24)
  • 4
    • 0037140837 scopus 로고    scopus 로고
    • A contact-impact formulation based on localised Lagrange multipliers: Formulation and application to two-dimensional problems
    • Rebel G, Park KC, Felippa CA. A contact-impact formulation based on localised Lagrange multipliers: formulation and application to two-dimensional problems. International Journal for Numerical Methods in Engineering 2002; 54:263-297.
    • (2002) International Journal for Numerical Methods in Engineering , vol.54 , pp. 263-297
    • Rebel, G.1    Park, K.C.2    Felippa, C.A.3
  • 5
    • 0026626125 scopus 로고
    • An augmented Lagrangian treatment of contact problems involving friction
    • Simo JC, Laursen TA. An augmented Lagrangian treatment of contact problems involving friction. Computers and Structures 1992; 42:97-116.
    • (1992) Computers and Structures , vol.42 , pp. 97-116
    • Simo, J.C.1    Laursen, T.A.2
  • 6
    • 0029404746 scopus 로고
    • An augmented Lagrangian quasi-Newton solver for constrained non-linear finite element applications
    • Laursen TA, Maker BN. An augmented Lagrangian quasi-Newton solver for constrained non-linear finite element applications. International Journal for Numerical Methods in Engineering 1995; 38:3571-3590.
    • (1995) International Journal for Numerical Methods in Engineering , vol.38 , pp. 3571-3590
    • Laursen, T.A.1    Maker, B.N.2
  • 7
    • 0033587473 scopus 로고    scopus 로고
    • Large deformation frictional contact mechanics: Continuum formulation and augmented Lagrange treatment
    • Pietrzak G, Curnier A. Large deformation frictional contact mechanics: continuum formulation and augmented Lagrange treatment. Computer Methods in Applied Mechanics and Engineering 1999; 177:351-381.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.177 , pp. 351-381
    • Pietrzak, G.1    Curnier, A.2
  • 10
    • 0001628204 scopus 로고
    • A solution algorithm for linear constraint equations in finite element analysis
    • Curiskis JI, Valliappan S. A solution algorithm for linear constraint equations in finite element analysis. Computers and Structures 1978; 8:117-124.
    • (1978) Computers and Structures , vol.8 , pp. 117-124
    • Curiskis, J.I.1    Valliappan, S.2
  • 14
    • 0036344992 scopus 로고    scopus 로고
    • On the solution of equality constrained quadratic programming problems arising in optimization
    • Gould NIM, Hribar ME, Nocedal J. On the solution of equality constrained quadratic programming problems arising in optimization. SIAM Journal on Scientific Computing 2001; 23:1375-1394.
    • (2001) SIAM Journal on Scientific Computing , vol.23 , pp. 1375-1394
    • Gould, N.I.M.1    Hribar, M.E.2    Nocedal, J.3
  • 16
    • 0028741633 scopus 로고
    • Inexact and preconditioned Uzawa algorithms for saddle point problems
    • Elman HC, Golub GH. Inexact and preconditioned Uzawa algorithms for saddle point problems. SIAM Journal on Numerical Analysis 1994; 31:1645-1661.
    • (1994) SIAM Journal on Numerical Analysis , vol.31 , pp. 1645-1661
    • Elman, H.C.1    Golub, G.H.2
  • 17
    • 34249955392 scopus 로고
    • A class of iterative methods for solving saddle point problems
    • Bank RE, Welfert BD, Yserentant H. A class of iterative methods for solving saddle point problems. Numerische Mathematik 1990; 56:645-666.
    • (1990) Numerische Mathematik , vol.56 , pp. 645-666
    • Bank, R.E.1    Welfert, B.D.2    Yserentant, H.3
  • 22
    • 0001241033 scopus 로고
    • The use of linear graphs in Gauss elimination
    • Parter SV. The use of linear graphs in Gauss elimination. SIAM Review 1961; 3:119-130.
    • (1961) SIAM Review , vol.3 , pp. 119-130
    • Parter, S.V.1
  • 23
    • 0033678265 scopus 로고    scopus 로고
    • A priori sparsity patterns for parallel sparse approximate inverse preconditioners
    • Chow E. A priori sparsity patterns for parallel sparse approximate inverse preconditioners. SIAM Journal on Scientific Computing 2000; 21:1804-1822.
    • (2000) SIAM Journal on Scientific Computing , vol.21 , pp. 1804-1822
    • Chow, E.1
  • 24
    • 0035281285 scopus 로고    scopus 로고
    • Parallel implementation and practical use of sparse approximate inverses with a priori sparsity patterns
    • Chow E. Parallel implementation and practical use of sparse approximate inverses with a priori sparsity patterns. International Journal of High Performance Computing Applications 2001; 15:56-74.
    • (2001) International Journal of High Performance Computing Applications , vol.15 , pp. 56-74
    • Chow, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.