On the convergence of the semi-discrete incremental method in nonlinear,three-dimensional,elasticity |
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| Authors: | Michel Bernadou Philippe G. Ciarlet Hu Jianwei |
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| Affiliation: | (1) Domaine de Voluceau, Rocquencourt, I.N.R.I.A., B.P. 105, 78153 Le Chesnay Cedex, France;(2) Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, 4, Place Jussieu, 75005 Paris, France;(3) Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, 4, Place Jussieu, 75005 Paris, France;(4) Department of Mathematics, Nankai University, Tientsin, The People's Republic of China |
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| Abstract: | The effect of the application of an incremental method is the approximation of the three-dimensional nonlinear equations of finite elasticity by a sequence of linear problems. We give here sufficient conditions which guarantee the convergence of such a method. |
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