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Lobachevskii Journal of Mathematics, 2001, Volume 8, Pages 167–184
(Mi ljm130)
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This article is cited in 4 scientific papers (total in 4 papers)
Large splitting iterative methods and parallel solution of variational inequalities
E. Laitinena, A. V. Lapinb, J. Pieskäa a Department of Mathematical Sciences, University of Oulu
b Kazan State University, The Faculty of Computer Science and Cybernetics
Abstract:
Splitting iterative methods for the sum of maximal monotone and single-valued monotone operators in a finite-dimensional space are studied: convergence, rate of convergence and optimal iterative parameters are derived. A two-stage iterative method with inner iterations
is analysed in the case when both operators are linear, self-adjoint and positive definite. The results are applied for the mesh variational inequalities which are solved using a non-overlapping domain decomposition method and the splitting iterative procedure. Parallel solution of a mesh scheme for continuous casting problem is presented and the
dependence of the calculation time on the number of processors is discussed.
Received: 20.06.2001
Citation:
E. Laitinen, A. V. Lapin, J. Pieskä, “Large splitting iterative methods and parallel solution of variational inequalities”, Lobachevskii J. Math., 8 (2001), 167–184
Linking options:
https://www.mathnet.ru/eng/ljm130 https://www.mathnet.ru/eng/ljm/v8/p167
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Abstract page: | 290 | Full-text PDF : | 105 |
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