Comparison of domain decomposition methods for elliptic partial differential problems with unstructured meshes

Daniel MARCSA; Miklos KUCZMANN

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Comparison of domain decomposition methods for elliptic partial differential problems with unstructured meshes

机译：非结构网格的椭圆偏微分问题的区域分解方法比较

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摘要

W artykule zaprezentowano paralelizacj? sekwencyjnych (jednoprocesorowych) symulacji metod? elementów skończonych z wykorzystaniem metod dekompozycji obszaru. Metody te to metoda uzupe?nienia Schura oraz metoda FETI (Finite Element Tearing and Interconnecting). Czas obliczeń i przyspieszenie paralelizowanych metod elementów skończonych zosta?y porównae mi?dzy sob? oraz z procesem sekwencyjnym.%The paper presents the parallelisation of sequential (single-processor) finite element simulations with the use of domain decomposition methods. These domain decomposition methods are the Schur complement method and the Finite Element Tearing and Interconnecting (FETI) method. The execution time and speedup of these parallel finite element methods have been compared to each other and to the sequential one.

机译：文章提出并行化了吗？顺序（单处理器）方法模拟？有限元使用面积分解法。这些方法是Schur的补码方法和FETI（有限元素撕裂和互连）方法。相互比较了并行化有限元方法的计算时间和加速度。本文介绍了使用域分解方法对顺序（单处理器）有限元仿真的并行化。这些域分解方法是Schur补码方法和有限元撕裂和互连（FETI）方法。这些并行有限元方法的执行时间和加速已相互比较，并与顺序方法进行了比较。

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来源
《Przeglad Elektrotechniczny》 |2012年第12b期|1-4|共4页
作者
Daniel MARCSA; Miklos KUCZMANN;
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作者单位

'Szechenyi Istvan' University,Department of Automation, Laboratory of Electromagnetic Field,Egyetem ter 1, H-9026 Gyor, Hungary;

'Szechenyi Istvan' University,Department of Automation, Laboratory of Electromagnetic Field,Egyetem ter 1, H-9026 Gyor, Hungary;

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正文语种 eng
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关键词
parallel finite element method; domain decomposition; schur complement method; FETI method;

机译：平行有限元法域分解;补补法FETI方法;

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5. Numerical methods for inverse problems constrained by elliptic and parabolic partial differential equations on regular domains. [D] . Adavani, Santi Swaroop. 2008

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7. Domain decomposition: Parallel multilevel methods for elliptic partial differential equations By Barry Smith, Petter E. Bjørstad and William D. Gropp. Cambridge University Press, Cambridge, U.K. (1996). 224 pages. $39.95 [O] . 1997

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8. Comparison of Domain Decomposition Techniques for Elliptic Partial Differential Equations and Their Parallel Implementation [R] . Keyes, D. E., Gropp, W. D. 1985

机译：椭圆偏微分方程区域分解技术的比较及并行实现

Comparison of domain decomposition methods for elliptic partial differential problems with unstructured meshes

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