Domain decomposition method for crack problems with nonpenetration condition

Author:

Rudoy Evgeny

Funder

Grant of the President of the Russian Federation for state support of young Russian researchers

Publisher

EDP Sciences

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis,Analysis,Computational Mathematics

Reference34 articles.

1. G. Allaire, Numerical Analysis and Optimization: An Introduction to Mathematical Modelling and Numerical Simulation. Oxford University Press (2007).

2. Bach M., Khludnev A.M. and Kovtunenko V.A., Derivatives of the energy functional for 2D-problems with a crack under Signorini and friction conditions.Math. Methods Appl. Sci.23(2000) 515–534.

3. Astrakhantsev G.P., Domain decomposition method for the problem of bending heterogeneous plate.Comput. Math. Math. Phys.38(1998) 1686–1694.

4. Bayada G., Sabil J. and Sassi T., A Neumann-Neumann domain decomposition algorithm for the Signorini problem.Appl. Math. Lett.17(2004) 1153–1159.

5. Bayada G., Sabil J. and Sassi T., Convergence of a Neumann-Dirichlet algorithm for two-body contact problems with non local Coulomb’s friction law.ESAIM: M2AN42(2008) 243–262.

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