Parallel iterative solvers in nonlinear shell analysis

Gee M.; Ramm E.; Wall WA.

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Parallel iterative solvers in nonlinear shell analysis

机译：非线性壳分析中的并行迭代求解器

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A challenge for parallel iterative solvers in nonlinear shell analysis comes from the fact that shell analyses inherently tend to be ill conditioned problems. This challenge becomes especially pronounced when three-dimensional shell formulations - including thickness change - are used. A preconditioning idea for such models along with its advantageous influence on the performance of (parallel) iterative solvers is introduced and discussed in this paper. [References: 3]

机译：非线性壳分析中的并行迭代求解器面临的挑战来自这样一个事实，即壳分析固有地是病态问题。当使用三维外壳配方（包括厚度变化）时，这一挑战尤其明显。本文介绍并讨论了此类模型的预处理思想及其对（并行）迭代求解器性能的有利影响。 [参考：3]

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《Zeitschrift fur Angewandte Mathematik und Mechanik》 |2001年第2期|共9页
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Gee M.; Ramm E.; Wall WA.;
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1. Parallel iterative solvers in nonlinear shell analysis [J] . Gee M., Ramm E., Wall WA. Zeitschrift fur Angewandte Mathematik und Mechanik . 2001,第Suppla2期

机译：非线性壳分析中的并行迭代求解器
2. A Simple OpenMP Scheme for Parallel Iteration Solvers in Finite Element Analysis [J] . S. H. Ju Computer Modeling in Engineering & Sciences . 2010,第1期

机译：有限元分析中并行迭代求解的简单OpenMP方案
3. Finite difference iterative solvers for electroencephalography: serial and parallel performance analysis [J] . Derek N. Barnes, John S. George, Kwong T. Ng Medical and Biological Engineering and Computing . 2008,第9期

机译：脑电图的有限差分迭代求解器：串行和并行性能分析
4. A Parallel Iterative Method for Solving Nonlinear Least-Squares Problems [C] . Chen Zhong, Lv Yibing, Liu Caiyun International Conference on Computational Intelligence and Software Engineering;CiSE 2009 . 2009

机译：求解非线性最小二乘问题的并行迭代方法
5. New parallel iteration methods, new nonlinear multigrid analysis, and application in computational chemistry. [D] . Xie, Dexuan. 1995

机译：新的并行迭代方法，新的非线性多重网格分析及其在计算化学中的应用。
6. Convergence Analysis and Numerical Study of a Fixed-Point Iterative Method for Solving Systems of Nonlinear Equations [O] . Na Huang, Changfeng Ma -1

机译：求解非线性方程组的不动点迭代法的收敛性分析和数值研究
7. Parallel iterative solvers of geofem with selective blocking preconditioning for nonlinear contact problems on the earth simulator [O] . Kengo Nakajima 2003

机译：具有选择性阻塞预处理的Geofem并行迭代求解器，用于地球模拟器上的非线性接触问题
8. Analysis of a parallelized nonlinear elliptic boundary value problem solver with application to reacting flows [R] . Keyes, David E., Smooke, Mitchell D. 1987

机译：并行非线性椭圆边值问题求解器在反应流中的应用分析

Parallel iterative solvers in nonlinear shell analysis

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