Parallel iterative multilevel solution of mixed finite element systems for scalar equations

V. Chugunov; D. Svyatski; E. Tyrtyshnikov; Yu. Vassilevski

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Parallel iterative multilevel solution of mixed finite element systems for scalar equations

机译：标量方程组的混合有限元系统的并行迭代多级解

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摘要

A combination of several contemporary techniques is used for the efficient parallel solution of the mixed finite element systems on locally refined Grids. Implementation experience and numerical results are reported.

机译：几种现代技术的结合用于在局部精炼网格上有效地并行求解混合有限元系统。报告了实施经验和数值结果。

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来源
《Concurrency and Computation》 |2006年第5期|p.501-518|共18页
作者
V. Chugunov; D. Svyatski; E. Tyrtyshnikov; Yu. Vassilevski;
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作者单位

Institute of Numerical Mathematics, Russian Academy of Sciences, 8 Gubkina Street, 119991, GSP-1, Moscow, Russia;

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原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;
关键词
mixed finite elements; multilevel preconditioner; locally refined meshes; parallel computations;

机译：混合有限元;多层预处理器;局部细化网格;并行计算;

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1. Parallel ILU preconditioning, a priori pivoting and segregation of variables for iterative solution of the mixed finite element formulation of the Navier-Stokes equations [J] . S. O. Wille, O. Staff, A. F. D. Loula International Journal for Numerical Methods in Fluids . 2003,第9期

机译：并行ILU预处理，变量的先验枢转和分离，用于Navier-Stokes方程的混合有限元公式的迭代求解
2. Parallel solution of Mixed Finite Element/Spectral Element systems for convection-diffusion equations on non-matching grids [J] . Isabelle Boursier, Damien Tromeur-Dervout, Yuri Vassilevski Applied numerical mathematics . 2010,第11期

机译：非匹配网格上对流扩散方程的有限元/谱元混合系统并行解
3. A numerical experimental study of inverse preconditioning for the parallel iterative solution to 3D finite element flow equations [J] . Bergamaschi L, Gambolati G, Pini G Journal of Computational and Applied Mathematics . 2007,第1a2期

机译：3D有限元流方程并行迭代解的逆预处理的数值实验研究
4. Multilevel Parallel Solution of Large, Sparse Finite Element Equations from Structural Analysis [C] . Jeremy Cook, Petter BjPHIrstad, Jon Braekhus International conference and exhibition on high-performance computing and networking;HPCN Europe 1996 . 1996

机译：大型稀疏有限元方程的多级并行解法，基于结构分析
5. Multilevel preconditioning methods for the parallel iterative solution of large, sparse systems of equations. [D] . Turner, Wesley D. 2001

机译：适用于大型稀疏方程组的并行迭代求解的多级预处理方法。
6. The Mixed Finite Element Multigrid Method for Stokes Equations [O] . K. Muzhinji, S. Shateyi, S. S. Motsa 2015

机译：Stokes方程的混合有限元多重网格方法
7. Adaptive Semi-Lagrange-Finite-Elemente-Methode zur Lösung der Flachwassergleichungen : Implementierung und Parallelisierung = Adaptive semi-Lagranigian finite element method for the solution of the shallow water equations : implementation and parallelization [O] . Behrens Jörn 1996

机译：自适应semi-Lagrange-Finite-Elemente-methodezurLösungderFlachwassergleichungen：Implementierung und parallelisierung =自适应半Lagranigian有限元方法求解浅水方程：实现和并行化

Parallel iterative multilevel solution of mixed finite element systems for scalar equations

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