Upper error bounds on calculated outputs of interest for linear and nonlinear structural problems

Comptes Rendus - Mecanique

Volumn 334, Issue 7, 2006, Pages 399-407

  Ladevèze, Pierre ^a,b  

^a CNRS   (France)

^b NONE

Author keywords

Computational solid mechanics; Constitutive relation error; Finite elements; Nonlinear mechanics; Output of interest; Verification

Indexed keywords

ERROR ANALYSIS; FINITE ELEMENT METHOD; NONLINEAR SYSTEMS; PROBLEM SOLVING; THERMODYNAMICS; VISCOPLASTICITY;

FINITE ELEMENT METHOD; MECHANICS; SOLID; STRUCTURAL ANALYSIS; THERMODYNAMICS;

EID: 33746360900     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2006.04.004     Document Type: Article

References (6)

1. Babuška I., and Strouboulis T. The Finite Element Method and Its Reliability (2001), Oxford Univ. Press, Oxford, UK
2. Ladevèze P., and Pelle I.-P. Mastering Calculations in Linear and Nonlinear Mechanics (2004), Springer-Verlag, New York
3. Greenberg H.J. The determination of upper and lower bounds for the solution of Dirichlet problem. J. Math. Phys. 27 (1948) 161-182
4. Washizu K. Bounds for solutions of boundary value problems in elasticity. J. Math. Phys. 32 (1953) 117-128
5. P. Ladevèze, L. Chamoin, E. Florentin, Strict upper and lower bounds of outputs of interest for linear and nonlinear structural problems, Plenary lecture, ADMOS (Barcelona), 2005
6. Ladevèze P. Nonlinear Structural Mechanics-New Approaches and Non-Incremental Methods of Calculation (1998), Springer-Verlag, New York