High-order prediction-correction algorithms for unilateral contact problems

Journal of Computational and Applied Mathematics

Volumn 168, Issue 1-2, 2004, Pages 1-9

  Aggoune, Wassila ^a   Zahrouni, Hamid ^a   Potier Ferry, Michel ^a  

^a UNIVERSITÉ PAUL VERLAINE METZ   (France)

Author keywords

Contact; Finite element method; Homotopy; Pad approximants; Path following technique; Perturbation technique; Prediction correction algorithms

Indexed keywords

ALGORITHMS; FINITE ELEMENT METHOD; NUMERICAL METHODS; PERTURBATION TECHNIQUES;

HIGH-ORDER PREDICTION-CORRECTION ALGORITHMS; UNILATERAL CONTACT PROBLEMS;

PROBLEM SOLVING;

ALGORITHM;

EID: 2942522388     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2003.05.015     Document Type: Article

References (10)

1. Alart P. Curnier A. A mixed formulation for frictional contact problems prone to Newton like solution methods Comput. Methods Appl. Mech. Eng. 92 1991 353-375
2. Cochelin B. A path-following technique via an asymptotic-numerical method Comput. Struct. 53 1994 1181-1192
3. Elhage-Hussein A. Damil N. Potier-Ferry M. An asymptotic numerical algorithm for frictionless contact problems Rev. Eur. des Eléments Finis 7 1998 119-130
4. Elhage-Hussein A. Potier-Ferry M. Damil N. A numerical continuation method based on Padé approximants Int. J. Solids Struct. 37 1999 6981-7001
5. Lahmam H. Cadou J.M. Zahrouni H. Damil N. Potier-Ferry M. High order predictor-corrector algorithms Internat. J. Numer. Methods Eng. 55 2002 685-704
6. Mallil E. Lahmam H. Damil N. Potier-Ferry M. An iterative process based on homotopy and perturbation techniques Comput. Methods Appl. Mech. Eng. 190 2000 1845-1858
7. Najah A. Cochelin B. Damil N. Potier-Ferry M. A critical review of asymptotic numerical methods Arch. Comput. Methods Eng. 5.1 1998 31-50
8. Simo J.C. Laursen T.A. An augmented Lagrangian treatment of contact problems involving friction Comput. Structures 42 1 1992 97-116
9. Simo J.C. Wriggers P. Taylor R.L. A perturbed Lagrangian formulation for the finite element solution of contact problems Comput. Methods Appl. Mech. Eng. 50 1985 163-180
10. Wriggers P. Finite element algorithms for contact problems Arch. Comput. Methods Eng. 2 4 1995 1-49