메뉴 건너뛰기




Volumn 54, Issue 1, 2005, Pages 1-22

A mixed formulation for the Signorini problem in nearly incompressible elasticity

Author keywords

Contact; Incompressible elasticity; Quadratic finite elements; Signorini problem

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; PROBLEM SOLVING;

EID: 16644372508     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2004.09.036     Document Type: Article
Times cited : (10)

References (28)
  • 2
    • 0002679574 scopus 로고
    • Survey lectures on the mathematical foundations of the finite element method. with the collaboration of G. Fix and R.B. Kellogg. the mathematical foundations of the finite element method with applications to partial differential equations
    • Academic Press New York
    • I. Babuška, and A.K. Aziz Survey lectures on the mathematical foundations of the finite element method. With the collaboration of G. Fix and R.B. Kellogg. The mathematical foundations of the finite element method with applications to partial differential equations Proc. Sympos., Univ. Maryland, Baltimore, MD, 1972 1972 Academic Press New York 1 359
    • (1972) Proc. Sympos., Univ. Maryland, Baltimore, MD, 1972 , pp. 1-359
    • Babuška, I.1    Aziz, A.K.2
  • 3
    • 0001619671 scopus 로고
    • Locking effects in the finite element approximation of elasticity problem
    • I. Babuška, and M. Suri Locking effects in the finite element approximation of elasticity problem Numer. Math. 62 1992 439 463
    • (1992) Numer. Math. , vol.62 , pp. 439-463
    • Babuška, I.1    Suri, M.2
  • 4
    • 0037232504 scopus 로고    scopus 로고
    • Quadratic finite element approximation of the Signorini problem
    • Z. Belhachmi, and F. Ben Belgacem Quadratic finite element approximation of the Signorini problem Math. Comp. 72 2003 83 104
    • (2003) Math. Comp. , vol.72 , pp. 83-104
    • Belhachmi, Z.1    Ben Belgacem, F.2
  • 5
    • 0000713959 scopus 로고    scopus 로고
    • Numerical simulation of some variational inequalities arisen from unilateral contact problems by the finite element method
    • F. Ben Belgacem Numerical simulation of some variational inequalities arisen from unilateral contact problems by the finite element method SIAM J. Numer. Anal. 37 2000 1198 1216
    • (2000) SIAM J. Numer. Anal. , vol.37 , pp. 1198-1216
    • Ben Belgacem, F.1
  • 6
    • 0039261798 scopus 로고    scopus 로고
    • Extension of the mortar finite element to a variational inequality modeling unilateral contact
    • F. Ben Belgacem, P. Hild, and P. Laborde Extension of the mortar finite element to a variational inequality modeling unilateral contact Math. Models Methods Appl. Sci. 9 1999 287 303
    • (1999) Math. Models Methods Appl. Sci. , vol.9 , pp. 287-303
    • Ben Belgacem, F.1    Hild, P.2    Laborde, P.3
  • 9
    • 0016093926 scopus 로고
    • On the existence uniqueness and approximation of saddle-point problems arising from Lagrange multipliers
    • F. Brezzi On the existence uniqueness and approximation of saddle-point problems arising from Lagrange multipliers RAIRO Anal. Numér. 8 2 1974 129 151
    • (1974) RAIRO Anal. Numér. , vol.8 , Issue.2 , pp. 129-151
    • Brezzi, F.1
  • 12
    • 0036003392 scopus 로고    scopus 로고
    • Mixed finite element method for unilateral problem: Convergence analysis and numerical studies
    • P. Coorevits, P. Hild, K. Lhalouani, and T. Sassi Mixed finite element method for unilateral problem: Convergence analysis and numerical studies Math. Comp. 71 2002 237 1-25
    • (2002) Math. Comp. , vol.71 , pp. 237
    • Coorevits, P.1    Hild, P.2    Lhalouani, K.3    Sassi, T.4
  • 14
    • 0012371675 scopus 로고
    • Analyse Convexe et Problèmes Variationnels
    • Dunod, Gauthier-Villars Paris
    • I. Ekeland, and R. Temam Analyse Convexe et Problèmes Variationnels Collection Études Mathématiques 1974 Dunod, Gauthier-Villars Paris (in French)
    • (1974) Collection Études Mathématiques
    • Ekeland, I.1    Temam, R.2
  • 15
    • 0000003984 scopus 로고
    • Error estimates for the approximation of a class of variational inequalities
    • R.S. Falk Error estimates for the approximation of a class of variational inequalities Math. Comp. 28 1974 963 971
    • (1974) Math. Comp. , vol.28 , pp. 963-971
    • Falk, R.S.1
  • 19
    • 0006285099 scopus 로고
    • On the finite element method for mixed variational inequalities arising in elastoplasticity
    • W. Han, and B.D. Reddy On the finite element method for mixed variational inequalities arising in elastoplasticity SIAM J. Numer. Anal. 32 1995 1778 1807
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 1778-1807
    • Han, W.1    Reddy, B.D.2
  • 27
    • 1342326242 scopus 로고    scopus 로고
    • Mixed formulations for a class of variational inequalities
    • L. Slimane, A. Bendali, and P. Laborde Mixed formulations for a class of variational inequalities Modél. Math. Anal. Numér. 38 1 2004 177 201
    • (2004) Modél. Math. Anal. Numér. , vol.38 , Issue.1 , pp. 177-201
    • Slimane, L.1    Bendali, A.2    Laborde, P.3
  • 28
    • 0030191620 scopus 로고    scopus 로고
    • Analytic and computational assessment of locking in the hp-finite element
    • M. Suri Analytic and computational assessment of locking in the hp-finite element Comput. Methods Appl. Mech. Engrg. 133 1996 347 371
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.133 , pp. 347-371
    • Suri, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.