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An axisymmetric elastic problem is solved by a heterogeneous numerical scheme of the alternating Schwarz method based on the finite- and boundary-element methods. The Schwarz method and the modified scheme are compared. A relaxation parameter is used to accelerate the iterative process 相似文献
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A parallel Dirichlet–Dirichlet domain-decomposition algorithm for solving frictionless-contact problems for elastic bodies
made of composite materials is proposed and justified. Numerical results that demonstrate the effectiveness of the approach
and its software implementation are presented 相似文献
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S. P. Timoshenko Institute of Mechanics, Ukrainian Academy of Sciences, Kiev. Lvov University. Translated from Prikladnaya Mekhanika, Vol. 30, No. 5, pp. 19–23, May, 1994. 相似文献
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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. 相似文献
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A. Ya. Grigorenko I. I. Dyyak I. I. Prokopyshin 《International Applied Mechanics》2008,44(11):1213-1222
To solve two-dimensional boundary-value problems of elasticity, two iteration algorithms of the domain decomposition method
are proposed: parallel Neumann–Neumann and sequential Dirichlet–Neumann. They are based on the hybrid boundary–finite-element
approximations. The algorithms are proved to converge. The optimal parameters are selected using the minimum-residual and
steepest-descent methods. Some plane problems of elasticity are solved as examples, and stationary and nonstationary iteration
algorithms in these examples are analyzed for efficiency
Translated from Prikladnaya Mekhanika, Vol. 44, No. 11, pp. 18–29, November 2008. 相似文献