New wavelet transform preconditioner for iterative solution of elastohydrodynamic lubrication problems

International Journal of Computer Mathematics

Volumn 75, Issue 4, 2000, Pages 497-513

  Ford, Judith ^a   Chen, Ke ^a   Scales, Laurence ^b  

^a UNIVERSITY OF LIVERPOOL   (United Kingdom)

^b SHELL RESEARCH AND TECHNOLOGY CENTRE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; ELASTOHYDRODYNAMIC LUBRICATION; ITERATIVE METHODS; MATRIX ALGEBRA; PROBLEM SOLVING;

DISCRETE WAVELET TRANSFORM; GENERALIZED MINIMUM RESIDUAL METHOD;

WAVELET TRANSFORMS;

EID: 0034481775     PISSN: 00207160     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207160008805000     Document Type: Article

References (15)

1. Chan, T. F., Tang, W. P. and Wan, W. L. (1997). Wavelet sparse approximate inverse preconditioners. BIT, 37, 644-660.
2. Chen, K. (1999). Discrete wavelet transforms accelerated sparse preconditioners for dense boundary element systems. Elec. Trans. Numer. Anal.
3. Chui, C. K., Wavelets: A Mathematical Tool for Signal Analysis. SIAM, Philadelphia, 1997.
4. Daubechies, I., Ten Lectures on Wavelets. SIAM, Philadelphia, 1992.
5. Dembo, R. S., Eisenstat, S. C. and Steihaug, T. (1982). Inexact Newton methods. SIAM J. Numer. Anal., 19, 400-408.
6. Dowson, D. and Higginson, G. R., Elastohydrodynamic lubrication. Pergamon Press, Oxford, 1977.
7. Eisenstat, S. C. and Walker, H. F. (1996). Choosing the forcing terms in an inexact Newton method. SIAM J. Sci. Comput., 17, 16-32.
8. Miller, D., Wavelet transforms and linear algebra. M.Sc. Dissertation, University of Liverpool, UK, 1995.
9. Morales-Espejel, G. E. and Felix-Quinonez, A. (1999). Kinematics of two-sided surface features in elastohydrodynamic lubrication. Proc. Instn. Mech. Engrs., 213, 95-108.
10. Nachtigal, N. M., Reddy, S. C. and Trefethen, L. N. (1992). How fast are nonsymmetric matrix iterations? SIAM J. Matrix Anal. Appl., 13, 778-795.
11. Nielsen, O. M., Wavelets in Scientific Computing. Ph.D. Thesis, Technical University of Denmark, Lyngby, 1998.
12. Park, T.-J. and Kim, K.-W. (1998). Elastohydrodynamic lubrication of a finite line contact. Wear, 223, 102-109.
13. Pernice, M. and Walker, H. F. (1998). Nitsol: A newton iterative solver for nonlinear systems. SIAM J. Sci. Comput., 19, 302-318.
14. Saad, Y., Iterative Methods for Sparse Linear Systems. PWS, Boston, 1996.
15. Strang, G. and Nguyen, T., Wavelets and Filter Banks. Wellesey-Cambridge Press, USA, 1996.