On the Relation Between the Convergence Factors of Additive and Multiplicative Schwarz Method  

On the Relation Between the Convergence Factors of Additive and Multiplicative Schwarz Method

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作  者:张胜 

机构地区:[1]Computing Center, Academia Sinica, Beijing 100080 PRC

出  处:《Chinese Science Bulletin》1993年第12期978-981,共4页

基  金:Project supported by the National Post Doctorial Science Foundation of China

摘  要:1 Additive and Multiplicative Schwarz Method Let ΩR<sup>n</sup> be a polygonal region, be the variational form of an elliptic boundary value problem defined on Ω. a(·,·) is symmetric positive definite and it introduces an inner product in H<sup>1</sup><sup>0</sup>(Ω) which is equivalent to the original one. In the following, we treat H<sup>1</sup><sub>0</sub>(Ω) as a Hilbert space with inner product a(·,·).

关 键 词:ORTHOGONAL projection ELLIPTIC equation SCHWARZ iteration. 

分 类 号:N[自然科学总论]

 

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