Year: 2008
Author: I. Faragό, J. Karátson
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 2 : pp. 206–221
Abstract
In this paper a suitable Laplacian preconditioner is proposed for the numerical solution of the nonlinear elasto-plastic torsion problem. The aim is to determine the tangential stress in cross-sections under a given torsion, for which the physical model is based on the Saint Venant model of torsion and the single curve hypothesis for the connection of strain and stress. The proposed iterative solution of the arising nonlinear elliptic problem is achieved by combining the advantages of Laplacian preconditioners with the qualitatively favourable aspects of the strong formulation. Error estimate is given for the convergence of the method. Finally, a numerical example is given.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-IJNAM-807
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 2 : pp. 206–221
Published online: 2008-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: elasto-plastic torsion nonlinear elliptic problem iterative solution Laplacian preconditioner.