A multilevel method with correction by aggregation for solving discrete elliptic problems

A multilevel method with correction by aggregation for solving discrete elliptic problems
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求解离散椭圆问题的聚合校正多级方法

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发表时间:
1986
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通讯作者:
R. Blaheta
R. Blaheta
中科院分区:
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文献类型:
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作者:
R. Blaheta

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摘要本文研究了Jacobi迭代与未知量聚集校正相结合的多层方法的性能。我们考虑的是一个简单的一维例子,这使我们能够采用四阶分析技术。尽管如此,我们还是能够证明考虑艾德的算法和采用插值代替聚集的多重网格方法的行为之间的差异。
Summary. The author studies the behaviour of a multi-level method that combines the Jacobi iterations and the correction by agg r egation of unknowns. Ou r conside r ations a r e r est r icted to a simple one-dimensional example , which allows us to employ the technique of the Fou r ie r analysis. Despite of this r est r iction w e a r e able to demonst r ate diffe r ences between the behaviou r of the algo r ithm conside r ed and of multigrid methods employing inte r polation instead of agg r e gation .