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On the convergence of the semi-discrete incremental method in nonlinear, three-dimensional elasticity. (English) Zbl 0551.73019

The authors examine the title problem. They present sufficient conditions for convergence. The proof is based upon the discovery that the incremental method is simply Euler’s method for approximating a differential equation in Sobolev space.
The paper is carefully written using the notation of modern elasticity. It may prove to be a foundational paper for future studies on convergence of incremental methods. It should therefore be of interest and use to workers in theoretical elasticity as well as to those using finite element approximations.
Reviewer: R.L.Huston

MSC:

74B20 Nonlinear elasticity
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