메뉴 건너뛰기




Volumn 13, Issue 2, 2007, Pages 149-172

Linear systems with large uncertainties, with applications to truss structures

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL GEOMETRY; FINITE ELEMENT METHOD; LINEAR SYSTEMS; MATERIALS SCIENCE; TRUSSES;

EID: 33846268774     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11155-006-9026-1     Document Type: Article
Times cited : (110)

References (24)
  • 1
    • 33846329244 scopus 로고    scopus 로고
    • ANSYS
    • ANSYS:www.ansys.com
  • 2
    • 33846306487 scopus 로고    scopus 로고
    • ANSYS Commands Reference: ANSYS 8.0 Help, ANSYS, 2003.
    • ANSYS Commands Reference: ANSYS 8.0 Help, ANSYS, 2003.
  • 3
    • 33846280646 scopus 로고    scopus 로고
    • COCONUT, IST Project funded by the European Union
    • COCONUT, COntinuous CONstraints - Updating the Technology, an IST Project funded by the European Union, www.mat.univie.ac.at/-neum/glopt/coconut/index. html
    • COntinuous CONstraints - Updating the Technology, an
  • 4
    • 0030718240 scopus 로고    scopus 로고
    • Preconditioning Linearized Equations
    • Hansen, E.: Preconditioning Linearized Equations, Computing 58 (1997), pp. 187-196
    • (1997) Computing , vol.58 , pp. 187-196
    • Hansen, E.1
  • 5
    • 0022077080 scopus 로고
    • Interval Slopes for Rational Functions and Associated Centered Forms
    • Krawczyk, R. and Neumaier, A.: Interval Slopes for Rational Functions and Associated Centered Forms, SIAM J. Numer. Anal. 22 (1985), pp. 604-616.
    • (1985) SIAM J. Numer. Anal , vol.22 , pp. 604-616
    • Krawczyk, R.1    Neumaier, A.2
  • 7
    • 0035371106 scopus 로고    scopus 로고
    • Uncertainty in Mechanics Problems - Interval Based Approach
    • Muhanna, R. L. and Mullen, R. L.: Uncertainty in Mechanics Problems - Interval Based Approach, J. Engrg. Mech. 127 (2001), pp. 557-566.
    • (2001) J. Engrg. Mech , vol.127 , pp. 557-566
    • Muhanna, R.L.1    Mullen, R.L.2
  • 8
    • 33751314269 scopus 로고    scopus 로고
    • Interval Finite Element as a Basis for Generalized Models of Uncertainty in Engineering Mechanics
    • Muhanna, R. L. and Mullen, R. L, eds, Sept. 15-17, Savannah, pp
    • Muhanna, R. L., Mullen, R. L., and Zhang, H.: Interval Finite Element as a Basis for Generalized Models of Uncertainty in Engineering Mechanics, in: Muhanna, R. L. and Mullen, R. L. (eds), Proc. NSF Workshop Reliable Engineering Computing, Sept. 15-17, 2004, Savannah, pp. 353-370, www.gtsav.gatech.edu/rec/recworkshop/presentations/presentations.html
    • (2004) Proc. NSF Workshop Reliable Engineering Computing , pp. 353-370
    • Muhanna, R.L.1    Mullen, R.L.2    Zhang, H.3
  • 11
    • 0001861349 scopus 로고
    • Rigorous Sensitivity Analysis for Parameter-Dependent Systems of Equations
    • Neumaier, A.: Rigorous Sensitivity Analysis for Parameter-Dependent Systems of Equations, J. Math. Anal. Appl. 144 (1989), pp. 16-25.
    • (1989) J. Math. Anal. Appl , vol.144 , pp. 16-25
    • Neumaier, A.1
  • 12
    • 0001016206 scopus 로고    scopus 로고
    • Second-Order Sufficient Optimality Conditions for Local and Global Nonlinear Programming
    • Neumaier, A.: Second-Order Sufficient Optimality Conditions for Local and Global Nonlinear Programming, J. Global Optim. 9 (1996), pp. 141-151.
    • (1996) J. Global Optim , vol.9 , pp. 141-151
    • Neumaier, A.1
  • 13
    • 0037292825 scopus 로고    scopus 로고
    • Taylor Forms - Use and Limits
    • Neumaier, A.: Taylor Forms - Use and Limits, Reliable Computing 9 (1) (2003), pp. 43-79, www.mat.univie.ac.at/~neum/papers.html#taylor
    • (2003) Reliable Computing , vol.9 , Issue.1 , pp. 43-79
    • Neumaier, A.1
  • 14
    • 33745313715 scopus 로고    scopus 로고
    • Improved Solution Enclosures for Over- and Underdetermined Interval Linear Systems
    • Lirkov, I, Margenov, S, and Wasniewski, J, eds
    • Popova, E.: Improved Solution Enclosures for Over- and Underdetermined Interval Linear Systems, in: Lirkov, I., Margenov, S., and Wasniewski, J. (eds), Proc. 5th Int. Conf. LSSC, Sozopol, 2005, Lecture Notes in Computer Science 3743, 2006, pp. 305-312, http://www.math.bas.bg/~epopova/ papers/051sscEP.pdf
    • (2006) Proc. 5th Int. Conf. LSSC, Sozopol, 2005, Lecture Notes in Computer Science , vol.3743 , pp. 305-312
    • Popova, E.1
  • 15
    • 10044254736 scopus 로고    scopus 로고
    • Parametric Interval Linear Solver
    • Popova, E.: Parametric Interval Linear Solver, Numerical Algorithms 37 (2004), pp. 345-356.
    • (2004) Numerical Algorithms , vol.37 , pp. 345-356
    • Popova, E.1
  • 16
    • 23044533611 scopus 로고    scopus 로고
    • Quality of the Solution Sets of Parameter Dependent Interval Linear Systems
    • Popova, E. D.: Quality of the Solution Sets of Parameter Dependent Interval Linear Systems, ZAMM 82 (2002), pp. 723-727.
    • (2002) ZAMM , vol.82 , pp. 723-727
    • Popova, E.D.1
  • 17
    • 33846291191 scopus 로고    scopus 로고
    • Efficient Method of Solution of Large Scale Engineering Problems with Interval Parameters Based on Sensitivity Analysis
    • Muhanna, R. L. and Mullen, R. L, eds, Sept. 15-17, Savannah, pp
    • Pownuk, A.: Efficient Method of Solution of Large Scale Engineering Problems with Interval Parameters Based on Sensitivity Analysis, in: Muhanna, R. L. and Mullen, R. L. (eds), Proc. NSF Workshop Reliable Engineering Computing, Sept. 15-17, 2004, Savannah, pp. 305-316, www.gtsav.gatech.edu/ rec/recworkshop/presentations/presentations.html
    • (2004) Proc. NSF Workshop Reliable Engineering Computing , pp. 305-316
    • Pownuk, A.1
  • 19
    • 0000448462 scopus 로고    scopus 로고
    • Analysis of Uncertain Structural Systems Using Interval Analysis
    • Rao, S. S. and Berke, L.: Analysis of Uncertain Structural Systems Using Interval Analysis, AIAA Journal 35 (1997), pp. 727-735.
    • (1997) AIAA Journal , vol.35 , pp. 727-735
    • Rao, S.S.1    Berke, L.2
  • 20
    • 0002342184 scopus 로고    scopus 로고
    • INTLAB - INTerval LABoratory
    • Csendes, T, ed, Kluwer Academic Publishers, Dordrecht
    • Rump, S. M.: INTLAB - INTerval LABoratory, in: Csendes, T. (ed.), Developments in Reliable Computing, Kluwer Academic Publishers, Dordrecht, 1999, pp. 77-105, http://www.ti3.tu-harburg.de/~rump/intlab/
    • (1999) Developments in Reliable Computing , pp. 77-105
    • Rump, S.M.1
  • 21
    • 20144370424 scopus 로고    scopus 로고
    • Exclusion Regions for Systems of Equations
    • Schichl, H. and Neumaier, A.: Exclusion Regions for Systems of Equations, SIAM J. Numer. Anal. 42 (2004), pp. 383-408, www.mat.univie.ac. at/~neum/papers.html#excl
    • (2004) SIAM J. Numer. Anal , vol.42 , pp. 383-408
    • Schichl, H.1    Neumaier, A.2
  • 22
    • 33846313761 scopus 로고    scopus 로고
    • Skalna, I.: A Method for Outer Interval Solution of Parametrized Systems of Linear Equations, in: Muhanna, R. L. and Mullen, R. L. (eds), Proc. NSF Workshop Reliable Engineering Computing, Sept. 15-17, 2004, Savannah, pp. 1-14, www.gtsav.gatech.edu/rec/recworkshop/presentations/presentations.html
    • Skalna, I.: A Method for Outer Interval Solution of Parametrized Systems of Linear Equations, in: Muhanna, R. L. and Mullen, R. L. (eds), Proc. NSF Workshop Reliable Engineering Computing, Sept. 15-17, 2004, Savannah, pp. 1-14, www.gtsav.gatech.edu/rec/recworkshop/presentations/presentations.html
  • 23
    • 0344063683 scopus 로고    scopus 로고
    • Methods for Solving Systems of Linear Equations of Structure Mechanics with Interval Parameters
    • Skalna, I.: Methods for Solving Systems of Linear Equations of Structure Mechanics with Interval Parameters, Computer Assisted Mechanics and Engineering Sciences 10 (2003), pp. 281-293.
    • (2003) Computer Assisted Mechanics and Engineering Sciences , vol.10 , pp. 281-293
    • Skalna, I.1
  • 24
    • 0010521809 scopus 로고    scopus 로고
    • Finite Element Method
    • Butterworth Heinemann, London
    • Zienkiewicz, O. C. and Taylor, R. L.: Finite Element Method: Volume 1. The Basis, Butterworth Heinemann, London, 2000.
    • (2000) The Basis , vol.1
    • Zienkiewicz, O.C.1    Taylor, R.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.