Convergence of the Neumann parallel scheme of the domain decomposition method for problems of frictionless contact between several elastic bodies |
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| Authors: | I I Dyyak I I Prokopyshyn |
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| Institution: | 1.Franko Lviv National University,Lviv,Ukraine;2.Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences,Lviv,Ukraine |
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| Abstract: | Based on the variational formulation and penalty method, we have considered the Neumann parallel scheme of the domain decomposition
method for the solution of problems of one-sided contact between three-dimensional elastic bodies. We have shown the existence
and uniqueness of a solution of the variational problem with penalty and convergence in the penalty parameter. The convergence
of this scheme has been proved, and the optimal value of iteration parameter has been determined. |
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| Keywords: | |
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