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Volumn 43, Issue 4, 2005, Pages 1455-1480

An Euler-Bernoulli beam with dynamic contact: Discretization, convergence, and numerical results

Author keywords

Euler Bernoulli beam; Frictionless contact; Impact

Indexed keywords

EULER-BERNOULLI BEAM; FRICTIONLESS CONTACT; IMPACT;

EID: 33747160402     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142903432619     Document Type: Article
Times cited : (22)

References (16)
  • 1
    • 33747202508 scopus 로고    scopus 로고
    • An Euler-Bernoulli beam with dynamic contact: Penalty approximation and existence
    • University of Iowa
    • J. AHN AND D. E. STEWART, An Euler-Bernoulli Beam with Dynamic Contact: Penalty Approximation and Existence, Computational Mathematics Technical Report 163, University of Iowa, http://www.www.math.uiowa.edu/comp-math/comp-math-2005. htm.
    • Computational Mathematics Technical Report , vol.163
    • Ahn, J.1    Stewart, D.E.2
  • 3
    • 67649463901 scopus 로고    scopus 로고
    • The analysis of multigrid methods
    • P. G. Ciarlet and J. L. Lions, eds., North-Holland, Amsterdam
    • J. H. BRAMBLE AND X. ZHANG, The analysis of multigrid methods, in Handbook of Numerical Analysis, Vol. VII, P. G. Ciarlet and J. L. Lions, eds., North-Holland, Amsterdam, 2000, pp. 391-402.
    • (2000) Handbook of Numerical Analysis , vol.7 , pp. 391-402
    • Bramble, J.H.1    Zhang, X.2
  • 4
    • 0345325406 scopus 로고    scopus 로고
    • The mathematical theory of finite element methods
    • 2nd ed., Springer-Verlag, New York
    • S. C. BRENNER AND L. R. SCOTT, The Mathematical Theory of Finite Element Methods, 2nd ed., Texts Appl. Math. 15, Springer-Verlag, New York, 2002.
    • (2002) Texts Appl. Math. , vol.15
    • Brenner, S.C.1    Scott, L.R.2
  • 5
    • 84966252352 scopus 로고
    • Decay rates for inverse of band matrices
    • S. DEMKO, W. F. MOSS, AND P. W. SMITH, Decay rates for inverse of band matrices, Math. Comp., 43 (1984), pp. 491-499.
    • (1984) Math. Comp. , vol.43 , pp. 491-499
    • Demko, S.1    Moss, W.F.2    Smith, P.W.3
  • 8
    • 0004480637 scopus 로고
    • Real and functional analysis
    • 2nd ed., Springer-Verlag, Berlin, Heidelberg, New York
    • S. LANG, Real and Functional Analysis, 2nd ed., Grad. Texts in Math. 142, Springer-Verlag, Berlin, Heidelberg, New York, 1993.
    • (1993) Grad. Texts in Math. , vol.142
    • Lang, S.1
  • 9
    • 0000009213 scopus 로고
    • An algorithm for constrained optimization of semi-smooth functions
    • R. MIFFLIN, An algorithm for constrained optimization of semi-smooth functions, Math. Oper. Res., 2 (1977), pp. 191-207.
    • (1977) Math. Oper. Res. , vol.2 , pp. 191-207
    • Mifflin, R.1
  • 10
    • 0000012763 scopus 로고
    • Semismooth and semiconvex functions in constrained optimization
    • R. MIFFLIN, Semismooth and semiconvex functions in constrained optimization, SIAM J. Control Optim., 15 (1977), pp. 959-972.
    • (1977) SIAM J. Control Optim. , vol.15 , pp. 959-972
    • Mifflin, R.1
  • 11
    • 0027543961 scopus 로고
    • A nonsmooth version of Newton's method
    • L. Q. QI AND J. SUN, A nonsmooth version of Newton's method, Math. Program., 58 (1993), pp. 353-367.
    • (1993) Math. Program. , vol.58 , pp. 353-367
    • Qi, L.Q.1    Sun, J.2
  • 12
    • 0003318971 scopus 로고
    • An introduction to partial differential equations
    • Springer-Verlag, New York, Berlin, Heidelberg
    • M. RENARDY AND R. C. ROGERS, An Introduction to Partial Differential Equations, Texts Appl. Math. 13, Springer-Verlag, New York, Berlin, Heidelberg, 1993.
    • (1993) Texts Appl. Math. , vol.13
    • Renardy, M.1    Rogers, R.C.2
  • 13
    • 0141947324 scopus 로고
    • A hyperbolic problem of second order with unilateral constraints: The vibrating string with a concave obstacle
    • M. SCHATZMAN, A hyperbolic problem of second order with unilateral constraints: The vibrating string with a concave obstacle, J. Math. Anal. Appl., 73 (1980), pp. 138-191.
    • (1980) J. Math. Anal. Appl. , vol.73 , pp. 138-191
    • Schatzman, M.1
  • 14
  • 15
    • 0003278079 scopus 로고    scopus 로고
    • Partial differential equations I: Basic theory
    • Springer-Verlga, New York
    • M. E. TAYLOR, Partial Differential Equations I: Basic Theory, Appl. Math. Sci. 115, Springer-Verlga, New York, 1996.
    • (1996) Appl. Math. Sci. , vol.115
    • Taylor, M.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.