## Abstract In this article, the parallel restarted generalized minimum residual [GMRES(m)] scheme has been implemented to solve large scale multilevel block Toeplitz matrix equations. The parallel fast Fourier transform has been used to accelerate the matrixβvector multiplications in the iterative
Decomposition and parallelization strategies for solving large-scale MDO problems
β Scribed by M. Grauer; Hans A. Eschenauer
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 355 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0936-7195
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
During previous years, structural optimization has been recognized as a useful tool within the discriptines of engineering and economics. However, the optimization of largeβscale systems or structures is impeded by an immense solution effort. This was the reason to start a joint research and development (R& D) project between the Institute ofMechanics and Control Engineering and the Information and Decision Sciences Institute within the Research Center for Multidisciplinary Analyses and Applied Structural Optimization (FOMAAS) on cluster computing for parallel and distributed solution of multidisciplinary optimization (MDO) problems based on the OpTiXβWorkbench. Here the focus of attention will be put on coarsegrained parallelization and its implementation on clusters of workstations. A further point of emphasis was laid on the development of a parallel decomposition strategy calles PARDEC, for the solution of very complex optimization problems which cannot be solved efficiently by sequential integrated optimization. The use of the OptiXβWorkbench together with the FEM ground water simulation system FEFLOWis shown for a special water management problem. (Β© 2007 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
π SIMILAR VOLUMES
A hierarchical, time decomposition and coordination scheme for long horizon optimal control problems is suitable for parallel processing and adds a new dimension to results on large-scale dynamic optimization.
In this paper a novel iterative method of multilevel type for solving large-scale generalized eigenvalue problems encountered in structural dynamics is presented. A preconditioned iterative technique, which can be viewed as a modification of the Subspace Iteration method, is used for simultaneous ca
The paper discusses an iterative scheme for solving large-scale three-dimensional linear elasticity problems, discretized on a tensor product of two-dimensional and one-dimensional meshes. A framework is chosen of the additive AMLI method to develop a preconditioner of a `black-box' type which is ro